Answers
1. If there were two people dividing the cost of the gift, each person would spend $180. If there were three people dividing the cost, each person would spend $120. If there were five people dividing the cost, each person would spend $72. If there were ten people dividing the cost, each person would spend $36. If there were one hundred people dividing the cost, each person would spend $3.60.
2. The function that could be used to model the amount each person would spend depending on the number of people contributing to the gift is:
cost per person = total cost / number of people
3. The table will be:
Number of people Amount per person
2. $180
3 $120
5. $72
10. $36
100. $3.60
The graph of the function would be a straight line passing through the points (2, $180), (3, $120), (5, $72), (10, $36), and (100, $3.60).
4. The domain of the function is all positive integers greater than zero, since you cannot have a fractional or negative number of people contributing.
How to explain the informationThe range of the function is all positive real numbers, since the cost per person can be any positive amount.
The function is decreasing, since the cost per person decreases as the number of people contributing increases.
There is no maximum or minimum value for the cost per person, since it can be any positive amount. The function is continuous, but the number of people contributing must be a discrete value (i.e., a whole number).
As the number of people contributing approaches infinity, the cost per person approaches zero. The y-intercept of the function is the cost of the gift, and the x-intercept is not applicable in this context.
There is a horizontal asymptote at y = 0, since the cost per person approaches zero as the number of people contributing approaches infinity.
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Chile is celebrating her Quinceañera. Hannah knows the perfect gift to buy Chile, but it costs $360. Hannah can't afford to pay for this on her own so thinks about asking some friends to join in and share the cost.
1. How much would each person spend if there were two people dividing the cost of the gift? How much would each person spend if there were three people dividing the cost? Five people? Ten? One hundred?
2. Determine the function that could be used to model the amount each person would spend depending on the number of people contributing to the gift.
3. Use multiple representations to show how the amount each person would contribute to the gift would change depending on the number of people contributing. Describe the connections between the representations.
4. Describe the features of the function based on the context (domain/range, increasing/decreasing, maxima/minima, discrete/continuous, end behavior, intercepts, asymptotes).
Related Questions
There is a 50% chance that a newborn baby will be a boy. For families with four children, what is the probability that all the children are boys?
Select one:
A. 0.2512 B. 0.0625 C. 0.3754 D. 0.1587
Answers
The option B, 0.0625, is the correct answer.
The probability that all children are boys is 1/2 × 1/2 × 1/2 × 1/2 = 1/16. The probability of the event is 0.0625. The probability that all the children are boys is 0.0625.Therefore, option B, 0.0625, is the correct answer.
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a certain newspaper provides the net asset value, the year-to-date percent return, and the three-year percent return for 882 mutual funds at the end of 2017. assume that a simple random sample of 12 of the 882 mutual funds will be selected for a follow-up study on the size and performance of mutual funds. use the third column of the table of random numbers, beginning with 71744, to select the simple random sample of 12 mutual funds. begin with mutual fund 744 and use the last three digits in each row of column 3 for your selection process. what are the numbers of the 12 mutual funds in the simple random sample? (enter your answers as a comma-separated list.)
Answers
The 12 mutual funds in the simple randοm samples are
714, 41, 535, 358, 191, 378, 290, 518, 520, 421, 240, 488
What is a simple randοm sample?A simple randοm sample is a subset οf persοns picked at randοm, all with the same prοbability, frοm a larger set οf individuals. It is a methοd οf chοοsing a sample at randοm.
Here, we have
Given: a certain newspaper prοvides the net asset value, the year-tο-date percent return, and the three-year percent return fοr 882 mutual funds at the end οf 2017. assume that a simple randοm sample οf 12 οf the 882 mutual funds will be selected fοr a fοllοw-up study οn the size and perfοrmance οf mutual funds. use the third cοlumn οf the table οf randοm numbers, beginning with 71744, tο select the simple randοm sample οf 12 mutual funds.
The last three digits in each rοw οf cοlumn 6 less than 882 are
714, 041, 535, 358, 191, 378, 290, 518, 520, 421, 240, 488
Hence, The 12 mutual funds in the simple randοm samples are
714, 41, 535, 358, 191, 378, 290, 518, 520, 421, 240, 488.
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I seriously cannot figure this out please help me :( IT'S SO LATE PLEASE
Answers
Tia's statement that the graph is a x^5 function is correct
How to determine who is correctThe statements from the question are:
Tia = x^5 functionMarcus = x^4 functionThe zeros and the multiplicities in the format (zero, multiplicity) from the question are (-3, 1), (-1, 2), (2, 1) and (3, 1)
The equation of the polynomial can be expressed as
P(x) = (x - zero)^multiplicity
When the zeros and the multiplicities are substituted, we have
P(x) = (x + 3)(x - 3)(x - 2)(x + 1)^2
Expand
P(x) = (x^2 - 9)(x - 2)(x + 1)^2
When evaluated, we have
P(x) = x^5 - 12x^3 - 2x^2 + 27x + 18
The above is a x^5 function
Hence, Tia is correct
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Can you answer all of these please
Answers
The area of the composite figures are:
1: 106.28 sq. yd.
2: 79.27 sq. in.
3: 64.28 sq. m.
4: 44.82 sq. ft.
5: 406 sq. cm.
6: 629.46 sq. km.
How to find the area of a composite figure?
To find the area of a composite figure, you can break it down into simpler shapes such as triangles, rectangles, circles, etc. and then find the area of each individual shape and add them together.
No. 1
Area = area of semicircle + area of rectangle + area of semicircle
Area = (1/2 * πr²) + (L*W) + (1/2 * πr²)
r = 6/2 = 3 yd, L = 13 yd and W = 6 yd
Area = (1/2 * π*3²) + (13*6) + (1/2 * π*3²)
Area = 14.14 + 78 + 14.14
Area = 106.28 sq. yd.
No. 2
Area = area of semicircle + area of triangle
Area = (1/2 * πr²) + (1/2 *base* height)
r = 10/2 = 5 in, base = 10 in and height = 8 in
Area = (1/2 * π * 5²) + (1/2 * 10 * 8)
Area = 39.27 + 40
Area = 79.27 sq. in.
No. 3
Area = area of square + area of semicircle + area of semicircle
Area = L² + (1/2 * πr²) + (1/2 * πr²)
L = 6 m, r = 6/2 = 3 m
Area = 6² + (1/2 * π * 3²) + 1/2 * π * 3²)
Area = 36 + 14.14 + 14.14
Area = 64.28 sq. m.
No. 4
Area = area of semicircle + area of rectangle
Area = (1/2 * πr²) + (L * W)
r = 5/2 = 2.5 ft, L = 7 ft and W = 5 ft
Area = (1/2 * π * 2.5²) + (7 * 5)
Area = 9.82 + 35
Area = 44.82 sq. ft.
No. 5
Area = area of triangle + area of rectangle
Area = (1/2 * base * height) + (L * W)
base = 10cm, height = 14 cm, L = 24 cm and W = 14 cm
Area = (1/2 * 10 * 14) + (24 * 14)
Area = 70 + 336
Area = 406 sq. cm.
No. 6
Area = area of semicircle + area of triangle
Area = (1/2 * πr²) + (1/2 * base * height)
r = 26/2 = 13 km, base = 28 km and height = 26 km
Area = (1/2 * π * 13²) + (1/2 * 28 * 26)
Area = 265.46 + 364
Area = 629.46 sq. km.
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19. What is the length of side JN? (Round your answer to the nearest tenth.) 65 39 53
Answers
We οbtain JN 44.3 by rοunding tο the nearest tenth, Length οf side JN is rοughly 44.3 units lοng as a result. Therefοre 44.3 is the right respοnse.
What is the measurement οf a triangle's side?
The sides οf a triangle are straight lines that are jοined by the three vertices οf the triangle. In οther wοrds, we can say that the sides οf a triangle are line segments that meet each οther at the vertices οf the triangle.
The sides οf a right-angled triangle can be fοund οut by using variοus methοds like the Pythagοras theοrem οr by using the perimeter οf the triangle. In case sοme οf the angles and οther side lengths are given, we can use the law οf cοsines οr the law οf sines tο find the lengths οf the sides οf a triangle.
Law of sines
sin(∠A)/a = sin(∠B)/b = sin(∠C)/c
Therefore,
39/sin(53°) = JN/sin(65°)
JN = (39×sin(65°))/sin(53°)
JN = 44.3
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Matthew has an investment that is now worth $21 537.82. Find the original amount
he invested if he has had the money invested at 2.5% per month for 3 years.
Answers
The bar graph shows the results of rolling a number cube 300 times. How does the experimental probability of rolling a number greater than 1 compare with the theoretical probability?
The experimental probability of rolling a number greater than 1 is __%, which is close to the theoretical probability of __%
Answers
The experimental likelihood of rolling a number greater than 1 is 66.67%, which, according to the calculations above, is close to the theoretical probability of 83.33%.
What is probability?Calculating the likelihood that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all other outcomes when a specific event occurs.
The bar graph displays how many times a number cube was rolled along with the outcome. The graph shows that the number cube was rolled 300 times in total, yielding the number larger than 1 200 times.
Experimental probability is calculated as follows: 200/300 = 0.6667, or 66.67%, where experimental probability = (number of times greater than 1)/(total number of rolls)
Theoretical probability is calculated as follows: 5/6 = 0.8333 or 83.33% (number of possibilities greater than 1) / (total number of possible outcomes).
The experimental likelihood of rolling a number greater than 1 is 66.67%, which, according to the calculations above, is close to the theoretical probability of 83.33%.
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please help if you can
Answers
Using variation, the model for F = 42(m/p)
What do you mean by variation?There is a direct variation between the two variables whenever one quantity directly influences the other, such as when one quantity increases relative to the other and vice versa. There is a connection between two variables when one of them is a constant multiple of the other. Because of their immediate connection, the two variables are referred to as directly proportional.
Inverse variation establishes a proportionality between two quantities that are inversely related. There are two separate proportionalities. They are the direct variation and inverse variation. The two quantities are said to be directly proportional if an increase or decrease in one generates an equal increase or decrease in the other. In an inverse variation, on the other hand, one quantity increases while the other falls.
Now as F is directly proportional to m and inversely to p, so we can form a model as:
F = 42(m/p)
So that F=36 when m =6 and p =7.
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Find the length of AC in this right-angled triangular
prism.
Give your answer in centimetres (cm) to 1 d.p.
44 cm
A
E
42 cm
B
F
57 cm
с
Answers
The length of AC in this right-angled triangular prism is approximately 60.66 cm.
What is Pythagoras theorem?
For right angle triangle,
Hypotenuse² = Height²+Base²
However, we can use the Pythagorean theorem to find the length of AC if we know the lengths of AE and EC and ED.
If we assume that face AEC is the base of the prism and the right angle is at vertex E, then we can use the Pythagorean theorem to find the length of AC:
AC² = AE²+ EC²
We are given that AE = 43 cm, but we don't know the length of EC. However, we can use the fact that the base of the prism is a rectangle to find EC. Since opposite sides of a rectangle are equal, we have:
EC = 51 cm and ED = 45 cm
Substituting this into the equation above, we get:
AC² = 43² + 51²
AC² = 3680
AC ≈ 60.66 cm (to 1 decimal place)
Therefore, the length of AC in this right-angled triangular prism is approximately 60.66 cm.
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Correct question is "Find the length of AC in this right-angled triangular prism. Give your answer in centimetres (cm) to 1 d.p.
Base is ED 51 cm and height is AE 43 cm of the prism."
A gardener will use up to 250 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least four times the area used for
flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all
values of x and y that satisfy these requirements.
Answers
The inequality equation that can be used to solve this problem is x + y ≤ 250 and y ≥ 4x
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.
Let x denote the area (in square feet) used for flowers and y denote the area (in square feet) used for vegetables.
A gardener will use up to 250 square feet for planting flowers and vegetables, hence:
x + y ≤ 250 (1)
She wants the area used for vegetables to be at least four times the area used for flowers. Hence:
y ≥ 4x (2)
Plotting both equations using geogebra, the solution is the darker region.
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Evaluate. (3. 5−2/3)⋅(−2. 8+4 3/5) Enter your answer as a decimal or mixed number in simplest form in the box
Answers
Answer:
5.1, 5 1/10
Step-by-step explanation:
(3.5 − 2/3) ⋅ (−2.8 + 4 3/5) =
= (7/2 - 2/3)(-14/5 + 23/5)
= (21/6 - 4/6)(9/5)
= (17/6)(9/5)
= (17 × 9)/(6 × 5)
= 51/10
= 5.1 = 5 1/10
In 2019 and in 2020, consumers in Dexter purchased only books and pens.
The prices and quantities for 2019 and 2020 are listed in the table.
The reference base period for Dexter's CPI is 2019, and 2019 is also the year of the Consumer Expenditure Survey.
What is the inflation rate in 2020?
Answers
The inflation rate in 2020, given the CPI in 2020 and the price in both years, would be 95. 5 %.
How to find the inflation rate ?To find the inflation rate from the CPI (Consumer Price Index), subtract the beginning CPI from the end CPI. This gives you the increase in the price level over the time period.
Divide the increase in the price level by the beginning CPI. Multiply the result by 100 to get the inflation rate as a percentage. Basically, the formula is:
= (CPI in 2020 - CPI in 2019 ) / CPI in 2019
= ( 195.5 - 100 ) / 100
= 95. 5 %
Note : The CPI for 2020 is 195.5 and the assumed CPI for 2019 would be 100 as a base year.
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What’s the first step in evaluating the expression 6-(4/2X5)2?
Answers
The first step in evaluating the expression 6 - (4/2 x 5)² is to simplify the expression inside the parentheses first.
What is an expression?An expression is a mathematical phrase that consists of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that are combined according to certain rules to represent a mathematical calculation.
Following the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), as shown below:
4/2 = 2, so we can replace 4/2 with 2:
6 - (2 x 5)²
2 x 5 = 10, so we can replace 2 x 5 with 10:
6 - 10²
10² means 10 multiplied by itself, which equals 100:
6 - 100
Therefore, the expression simplifies to -94.
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please help me please
251^5+8-(9x20+3)=
Answers
Answer:
996,250,626,076
Step-by-step explanation:
You want the value of the numerical expression 251^5+8-(9×20+3).
CalculatorYour calculator will evaluate this properly if you enter it as shown. See the attachment.
If you're doing this in parts, the Order of Operations tells you to start with the parentheses, then do the exponentiation.
251^5 +8 -(9·20 +3)
= 251^5 +8 -183
= 996,250,626,251 +8 -183 = 996,250,626,076
__
Additional comment
You can use a spreadsheet (or an on-line calculator) if your calculator only displays 10 digits.
Sooo my friend sent me this and I’ve been puzzled, I think there are no correct options but need someone’s opinion. Any nerds like me out there?
Answers
Answer: first off i am not a nerd ur just a dummyboi second this is simple math grade 4 really the answer is 24
Step-by-step explanation:
In a cube that is 3x3, 19 cubes can be seen. 8 are hidden.
In a cube that is 4x4, 37 cubes can be seen. 27 are hidden.
In a cube that is 5x5, 61 cubes can be seen. 64 are hidden.
In a cube that is 6x6, 91 cubes can be seen. 125 are hidden.
19+8=27 if ur making a 3x3 cube answer is 24
town A is 60 km from town B and 61km from town C a road connects town B and C directly find the length of the road for class 7 ncert
Answers
Answer:Using the triangle inequality, we can conclude that the distance between towns B and C must be less than 121 km (the sum of the distances between towns A and B, and between towns A and C).
To find the exact length of the road connecting towns B and C, let's use the Pythagorean theorem.
Let x be the length of the road connecting towns B and C. Then we have:
x^2 = 61^2 + 60^2
x^2 = 3721 + 3600
x^2 = 7321
x ≈ 85.6 km
Therefore, the length of the road connecting town B and C is approximately 85.6 km.
Step-by-step explanation:
It is an arrangement of things in a definite order
Answers
A sequence is an ordered list of elements or objects that follows a specific pattern or rule, where the order of the terms is important.
A sequence is an ordered list of numbers, symbols, or other mathematical objects. The order in which the elements appear is important and determines the identity of the sequence. For example, consider the following two sequences:
1, 3, 5, 7, 9
3, 5, 1, 7, 9
The first sequence consists of odd numbers in ascending order, while the second sequence consists of the same numbers but in a different order. These two sequences are different because the order of the terms is different.
Sequences can have different patterns or rules that determine the order of the terms. For example, the sequence of Fibonacci numbers, which is a famous sequence in mathematics, has the following pattern:
1, 1, 2, 3, 5, 8, 13, 21, 34, ...
Each term in the sequence (starting with the third term) is the sum of the two preceding terms.
This pattern continues indefinitely, creating a sequence that has a distinct pattern and order.
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What is the arrangement of objects in a definite order called?
you deposit 4,000 in an account earning 5% interest compounded
continuously. Write an equation that model this situation.
A(t)=
Answers
The interest compounded equation to model the given situation is A(t) = 4000[tex]e^{0.05t}[/tex].
To model the given situation, the interest compounded can be written as the given equation of:
A(t) = A0e^(rt)
Where:
A(t) is the amount of money after t years
A0 is the initial amount of money, in this case,
r is the interest rate expressed as a decimal
t is the time in years that the money is invested.
From the case, we know that:
Initial deposit = $4,000
Interest rate = 5%
Time period = t (undetermined)
So, substituting the values given in the problem, the equation to model the given situation is:
A(t) = A0e^(rt)
A(t) = 4000e^(0.05t)
Therefore, A(t) = 4000e^(0.05t) is the required equation that models the given situation.
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A bag contains red, blue, and green tokens. Don randomly
chooses one token from the bag, records the color, and
replaces the token before choosing another token. He
performs the experiment 100 times. The final tally of the
results is shown in the table below.
Answers
Answer:
The correct probability is 16/100, or 4/25.
4.02 Lesson Check Arithmetic Sequences (9)
Answers
Answer:
a₉ = - 24
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
given a₁ = 8 and d = - 4 , then
a₉ = 8 + (8 × - 4) = 8 + (- 32) = 8 - 32 = - 24
Answer:
Tn = a + (n - 1)d
T9 = 8 + (9 - 1) × -4
T9 = (8 + 8) × -4
T9 = 16 × -4
T9 = -64
The number of bacteria in a culture is given by the function
0. 3t
n(t) = 920e
where t is measured in hours.
(a) What is the relative rate of growth of this bacterium population?
Your answer is
percent
(b) What is the initial population of the culture (at t=0)?
Your answer is
(c) How many bacteria will the culture contain at time t=5?
Your answer is
Answers
a) The continuous rate of growth of this bacterium population is 45%
b) Initial population of culture at t = 0 is 950 bacteria
c) number of bacterial cultures contain at t = 5 is 9013 bacteria
The number of bacteria in a culture is given by the function n(t) =950[tex]e^{0.450t}[/tex] Where t is measured in hours
what is the continuous rate of growth of this bacterium population
The number of bacteria in a culture is given by
n(t) = 950[tex]e^{0.45t}[/tex]
a) rate of growth is
Bacteria growth model N(t) = no[tex]e^{rt[/tex]
Where r is the growth rate
hence r = 0.45
= 45%
b) Initial population of culture at t = 0
n(0) = 950[tex]e^0[/tex]
= 950
= 950 bacteria
c) number of bacterial culture contain at t = 5
n(5) = 950[tex]e^{0.45*5}[/tex]
= 9013.35
= 9013 bacteria
the complete question is-
The number of bacteria in a culture is given by the function n(t) =950e^0.45t Where t is measured in hours A) what is the continuous rate of growth of this bacterium population? Your answer is __ percent B) what is the initial population of the culture (at t=0) your answer is __ C) how many bacteria will the culture contain at time t=5 ? Your answer is __ Round to the nearest bacteria
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-5 x blank equals 35
Answers
Answer:
-7
Step-by-step explanation:
A negative number times a negative number is positive. Because -5 is negative and 35 is positive the other factor must be negative as well.
5 x 7 = 35
So, -5 x -7 also equals 35
I dont know how to do this
pls answer if u know with simple working
Answers
Answer:
17,20,23...
Step-by-step explanation:
you just have to add 3 that's how the pattern works.
Question 2) Suppose you work for the Cheapo Coffee company and are tasked with studying their coffee shops around the country. You are interested in studying the number of cups of coffees sold per day at different cheapo coffee shops. To study this you randomly select 4 major cities from across the US. You visit each oh the cheapo coffee stores in these cities for a day and record the value is the number of customers they serve. You ultimately visit 17 shops and get the following data.
35, 43, 48, 52, 58, 67, 73, 85, 106, 125, 136, 174, 199, 213, 274, 351
a. What is the population in this question?
b. What is the sample in this question
Answers
a. The population in this question is all the Cheapo Coffee stores around the country.
b. The sample in this question is the 17 coffee shops that were visited and their daily sales data was recorded.
In statistics, a population is the entire group of individuals, items, or events that we are interested in studying. In this case, the population is all the Cheapo Coffee stores across the country, and we are interested in studying the number of cups of coffee sold per day at these stores.
However, it is often impractical or impossible to study the entire population, so we select a subset of the population, which is called a sample.
The sample is a representative subset of the population that we study to draw conclusions about the population as a whole. In this case, the sample consists of 17 Cheapo Coffee stores that were randomly selected from four major cities in the US, and the number of cups of coffee sold per day was recorded for each store.
We can use the data from the sample to estimate the average number of cups of coffee sold per day at all Cheapo Coffee stores across the country, which is the parameter of interest in this study.
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If it takes John 5/12 of an hour to work on a fence, how many minutes will it take him to finish the job?
Answers
Answer:
Step-by-step explanation:
Which statement best compares and contrasts the two formats?
The infographic shows the movement of water visually, while the text describes it.
The infographic would be less appealing to visual learners than the text.
It is impossible to understand the infographic without the text.
The text is more accurate than the infographic.
(10 POiNTS!!!)Find the value of x that makes this a true statement.
−3(x − 100) = −5(x − 100) + 6
Answers
Answer: x = 100
Step-by-step explanation:
Consider the t distribution with 5 degrees of freedom.
(a) What proportion of the area under the curve lies to the right of t = 2. 015?
(b) What proportion of the area lies to the left of t = −3. 365?
(c) What proportion of the area lies between t = –4. 032 and t = 4. 032?
(d) What value of t cuts off the upper 2. 5% of the distribution?
Answers
The cumulative probability of t from the t-distribution table. The cumulative probability of t for the upper 2.5% of the distribution is 0.975, which corresponds to a value of t = 2.571. Therefore, the value of t that cuts off the upper 2.5% of the distribution is 2.571.
(a) 0.974
(b) 0.998
(c) 0.996
(d) 2.571
(a) To find the proportion of the area under the curve to the right of t = 2.015, we first calculate the cumulative probability of t = 2.015 from the t-distribution table. The cumulative probability of t = 2.015 is 0.974, which means that 0.974 or 97.4% of the area under the curve lies to the right of t = 2.015.
(b) To find the proportion of the area under the curve to the left of t = −3.365, we calculate the cumulative probability of t = −3.365 from the t-distribution table. The cumulative probability of t = −3.365 is 0.998, which means that 0.998 or 99.8% of the area under the curve lies to the left of t = −3.365.
(c) To find the proportion of the area under the curve between t = –4.032 and t = 4.032, we calculate the cumulative probability of t = 4.032 and subtract the cumulative probability of t = −4.032. The cumulative probability of t = 4.032 is 0.995 and the cumulative probability of t = −4.032 is 0.003. Subtracting the two gives us 0.996, which means that 0.996 or 99.6% of the area under the curve lies between t = –4.032 and t = 4.032.
(d) To find the value of t that cuts off the upper 2.5% of the distribution, we calculate the cumulative probability of t from the t-distribution table. The cumulative probability of t for the upper 2.5% of the distribution is 0.975, which corresponds to a value of t = 2.571. Therefore, the value of t that cuts off the upper 2.5% of the distribution is 2.571.
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Unit 8 Right Triangles & Trigonometry Homework 3: similar Right triangles & geometric mean
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In the right-angled triangle ABC the value of line segment BD is obtained as x = 21.91.
What is a right-angled triangle?
Any two sides of a triangle's three sides must always add up to more than the third side since a triangle is a regular polygon with three sides. This distinguishing characteristic of a triangle. A right-angle triangle is one that has angles between its two sides that equal 90 degrees.
A right-angled triangle ABC with drawn with angle B = 90°.
A line BD is drawn which is perpendicular to AC.
The angle BDC is also 90 degrees.
The measure for line segment AD = 12 and CD = 40.
The measure for line segment BD is x.
The side BD is common for triangle ABC and BDC.
So, by the formula of indirect measurement we have -
DC / BD = BD / AD
Substitute the values in the equation -
40 / x = x / 12
x² = 480
x = 21.908
x = 21.91
Therefore, the value of x is obtained as 21.91.
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How to do?
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Can anyone give me the answer?!
Answers
x + 3x + 2x = 180°
Being straight angle...
6x = 180°
[tex]x = \frac{180}{6} \\ [/tex]
x = 30°
Which equation represents a line which is parallel to the line y = − 2/3x − 3
Answers
Answer:
Any line with a slope of -2/3 that doesnt have an intercept of -3
Step-by-step explanation:
y = − 2/3x − 3 is written in slope-intercept form y = mx + b, where m is the slope, and b is the y intercept
What your looking for is a line with the same -2/3 slope
Important! If a line has the same slope AND intercept, then they are identical, not parallel