Answers
Answer:
3.6
Step-by-step explanation:
Sine rule: a/SIN A = b/SIN B = c/SIN C.
right-angled triangle, so angle N = 90°.
x/sin 32 = 6.8/sin 90
x = (6.8 X sin 32) / sin 90
= 3.6
Related Questions
i need help with this problem
Answers
The value of x is 40 degree.
We have,
Far Arc = 130 degree
Near Arc = 50 degree
According to "Angle-Arc Theorem." It states that the angle formed by the intersection of two tangents, two secants, or one tangent and one secant outside a circle is equal to half the difference of the intercepted arcs.
In other words, The angle formed outside of the circle is always equal to the the far arc minus the near arc divided by 2.
Using Angle = (Far Arc - Near Arc) /2
So, x= (130- 50)/2
x = 80/2
x= 40
Thus, the value of x is 40 degree.
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Do you know Squidward? According to a survey by Nickelodeon TV, 82% of children under 13 in Germany recognized a picture of the cartoon character SpongeBob SquarePants. Assume that among those children, 83% also recognized SpongeBob's cranky neighbor Squidward Tentacles. What is the probability that a German child recognized both SpongeBob and Squidward? Write your answer as a fraction or a decimal, rounded to four decimal places.
Answers
P(A and B) = P(A) * P(B | A)
where A and B are events, P(A) is the probability of event A, and P(B | A) is the probability of event B given that event A has occurred.
Let A be the event that a child recognized SpongeBob, and let B be the event that a child recognized Squidward. Then:
P(A) = 0.82 (given)
P(B | A) = 0.83 (given)
So the probability that a German child recognized both SpongeBob and Squidward is:
P(A and B) = P(A) * P(B | A) = 0.82 * 0.83 = 0.6806
Rounding to four decimal places, the probability is 0.6806, or approximately 0.681 as a decimal or 681/1000 as a fraction. Therefore, the probability that a German child recognized both SpongeBob and Squidward is about 0.681.
Six packs of cola are on sale for $1.50. If a customer buys a 24 pack
Answers
First, we need to figure out how many sets of six packs are in a 24 pack.
24 ÷ 6 = 4
There are 4 sets of six packs in a 24 pack.
Next, we multiply the cost of one set of six packs by 4.
$1.50 x 4 = $6
Therefore, it would cost $6 for a customer to buy a 24 pack of cola on sale.
Can I have help finding the area
Answers
Answer: For Area A, 60
For Area B, 16
For Area C, 16
For the entire shape, 92
Step-by-step explanation:
If you look at the top of the entire shape, it says the width is 10 cm, that means 10 cm's for the entire width and not just shape A.
If you look at shape B, it says the width is 4 cm, that means 4 out of those 10 cm's are for B and not A but we dont need the width of shape B, so we subtract that 4 bc it isnt necessary since its not in shape A
if you look at the left of shape A, it says 10 cm for the height, when finding area for a rectangle, always do width x height. We have both the width and the height so now we just multiply them, 10 x 6 = 60
Answer:
A = 60cm^2
Step-by-step explanation:
Given:
Length of figure: A = 10cm
Width of figure: B = 10 - 4 = 6cm
Figure A is rectangular in nature.
So, the Area of the figure: A = 1 x b = 10 x 6 = 60cm^2
2. Janice polled her friends on social media and asked them to rate four flavors of ice cream (C= (1 point)
chocolate, V = vanilla, S = strawberry, P=pistachio). The preference schedule created from
their replies is shown. In order to be the majority winner, how many votes would an ice cream
need to accumulate?
number of votes 3 5 7 9
1st
2nd
3rd
4th
SSCV
CVVC
VPSS
PCPP
O An ice cream would need more than 12 votes from anywhere in the preference schedule.
O An ice cream would need 12 votes from anywhere in the preference schedule.
O An ice cream would need more than 12 votes from the first-place line in the preference schedule.
O An ice cream would need 12 votes from the first-place line in the preference schedule.
Answers
The correct statement would be: An ice cream would need more than 9 votes from the first-place line in the preference schedule.
To determine the number of votes an ice cream would need to accumulate in order to be the majority winner, we should analyze the preference schedule provided.
Looking at the preference schedule, we can see that there are four ice cream flavors:
Chocolate (C), vanilla (V), strawberry (S), and pistachio (P).
Each row represents the rankings given by Janice's friends.
To be the majority winner, an ice cream flavor would need to accumulate more votes than any other flavor.
In this case, we can determine the highest number of votes an ice cream flavor can receive by considering the first-place line in the preference schedule.
From the first-place line, we can see that the maximum number of votes any flavor has received is 9.
Therefore, an ice cream flavor would need more than 9 votes from the first-place line to be the majority winner.
Based on the given options, the correct statement would be: An ice cream would need more than 9 votes from the first-place line in the preference schedule.
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two numbers have a sum of 10. find the minimum value that the sum of their cubes could be
Answers
Let [tex]x[/tex] be one of the numbers. Then the other one is [tex]10-x[/tex].
Therefore, the sum of their cubes is:
[tex]x^3+(10-x)^3=x^3+1000-300x+30x^2-x^3=30x^2-300x+1000[/tex]
Now we need to find the minimum value of the resulting function.
[tex](30x^2-300x+1000)'=60x-300[/tex]
[tex]60x-300=0\\60x=300\\x=5[/tex]
The derivative is negative to the left of [tex]5[/tex] and positive to the right of it, therefore, at [tex]5[/tex] there exists the minimum.
[tex]5^3+(10-5)^3=125+125=250[/tex]
Therefore, the minimum value is 250.
please help! thank uu ~ :)
Answers
Answer:
d. Certain
Andres will always roll a number greater than or equal to 1 since 1 is the lowest number on the die. Therefore, the probability of rolling a number greater than or equal to 1 is certain.
Estimate 94.44 + 65.392 by first rounding each number to the nearest whole number.
Answers
5-9 rounds up to the next whole number
94.44 rounds to 94
65.392 rounds to 65
94+65=159
ANSWER: 159
Find the value of x.
Answers
The calculated value of x in the circle is 7
How to find the value of x.From the question, we have the following parameters that can be used in our computation:
The circle
From the circle, we have
Center = H
Also, we have
LIne GH bisects the chord FD
Using the above as a guide, we have the following:
DG = FG
So, we have
5x + 2 = 7x - 12
This gives
2x = 14
So, we have
x = 7
Hence, the value of x is 7
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Use the data to answer questions 1-8.
8-iron, distance to hole (vards) 20 12 12 8 6 11 7 7 10 12 8 10 11 20
1) Organize the data from least to greatest.
6,7,7,8,8,10,10,11,11,12,12,12,20,20
2) Use the data to create a histogram.
Frequency
5 10 15 20 25 30
Distance to Hole (yds)
3) What is the mean (average) of the data? Round your answer to the nearest tenth.
4) Make a box plot of the data.
5 10 15 20 25 30
Distance to Hole (yds)
5) What is the median of the data?
6) What is the First Quartile(Q1)?
7) What is the Third Quartile(Q3)?
CODIO
Can somebody help with the whole thing?? All besides number 1
Answers
3) To find the mean (average) of the data, add up all the values and divide by the total number of values. Using the data provided, the sum of all the values is 141, and there are 14 values. Therefore, the mean is 141/14 = 10.1 (rounded to the nearest tenth).
4) To create a box plot of the data, we need to determine the minimum, maximum, median, first quartile (Q1), and third quartile (Q3).
Minimum: 6
Maximum: 20
Median: The median is the middle value when the data is arranged in ascending order. In this case, we have an even number of values, so we take the average of the two middle values. The two middle values are 10 and 11, so the median is (10 + 11)/2 = 10.5.
Q1 (First Quartile): The first quartile is the median of the lower half of the data. Since we have 14 values, the lower half consists of the first 7 values when arranged in ascending order. The values are 6, 7, 7, 8, 8, 10, and 10. The median of these values is (7 + 8)/2 = 7.5.
Q3 (Third Quartile): The third quartile is the median of the upper half of the data. Again, we have 14 values, so the upper half consists of the last 7 values when arranged in ascending order. The values are 10, 11, 11, 12, 12, 12, and 20. The median of these values is (11 + 12)/2 = 11.5.
Now, we can construct the box plot:
| (6) |
|_______|________|
(7.5) (10.1) (11.5)
The line in the middle represents the median (10.1), the left boundary represents Q1 (7.5), and the right boundary represents Q3 (11.5). The whiskers extend from the box to the minimum (6) and maximum (20) values.
5) The median of the data is 10.5.
6) The First Quartile (Q1) is 7.5.
7) The Third Quartile (Q3) is 11.5.
I hope this helps! Let me know if you have any further questions.
As a salesperson at Scrapbooks and
Treasures, Alysse receives a monthly
base pay plus commission on all that she
sells. If she sells $500 worth of
merchandise in one month, she is paid
$515. If she sells $900 of merchandise in
one month, she is paid $607.
Find Alysse's total salary function, s(x), when
she sells x dollars of merchandise.
s(x)=
Answers
When Alysse sells $500 of merchandise, her pay is $515:
Base pay + Commission rate × $500 = $515
Base pay + Commission rate × 500/500 = 515/500
Base pay + Commission rate = 1.03
When Alysse sells $900 of merchandise, her pay is $607:
Base pay + Commission rate × $900 = $607
Base pay + Commission rate × 900/500 = 607/500
Base pay + 1.8 × Commission rate = 1.214
We can solve this system of equations by subtracting the first equation from the second equation, which eliminates the base pay variable:
1.8 × Commission rate - Commission rate = 1.214 - 1.03
0.8 × Commission rate = 0.184
Commission rate = 0.23
Using the first equation, we can solve for the base pay:
Base pay + 0.23 × $500 = $515
Base pay = $515 - $115
Base pay = $400
Therefore, Alysse's total salary function, s(x), when she sells x dollars of merchandise is:
s(x) = $400 + 0.23x
This means that her base pay is $400 per month and she earns a commission of 23% on all the merchandise she sells. For example, if she sells $1000 worth of merchandise in a month, her total pay would be:
s($1000) = $400 + 0.23($1000) = $630
So her total pay increases as she sells more merchandise, reflecting the commission she earns on each sale.
Answer:
s(x) = 0.23x + 400
Step-by-step explanation:
Let x = cost of merchandise sold
We start by finding the slope which is the percent of commission Alysse receives.
Let's start with doing 607 - 515. This is because we are subtracting the commissions, which also can be y2 - y1. Then, we do 900-500=400 (x2-x1). This is how to find the slope of the function. [tex]\frac{y2-y1}{x2-x1}=\frac{92}{400} =0.23[/tex], 0.23 being the slope.
s(x) = b+0.23x, now substitute values making the money received as s(x).
515 = b+0.23(500)
515=b+115
-115 -115
400 = b
607 = 400+0.23(900)
607 = 400 + 207
607 = 607
So, s(x) = 0.23x + 400
A relationship is represented by the equation y = x - 12 which of the following tables best represent the equation
Answers
A table that best represent the equation include the following: H. table H.
How to determine the table that best represent the equation?In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = 1 in table F, the linear function is given by;
y = x - 12
y = 1 - 12
y = -11 (False).
When the value of x = 0 in table G, the linear function is given by;
y = x - 12
y = 0 - 12
y = -12 (True).
When the value of x = 2 in table G, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (False).
When the value of x = 0 in table H, the linear function is given by;
y = x - 12
y = 2 - 12
y = -10 (True).
When the value of x = 4 in table H, the linear function is given by;
y = x - 12
y = 4 - 12
y = -8 (True).
When the value of x = 6 in table H, the linear function is given by;
y = x - 12
y = 6 - 12
y = -6 (True).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Luna has 8 pints of juice. Michael has 2% times as many
pints of juice as Luna.a) How many pints of juice does Michael have?b) How many more pints of juice does Michael have than
Luna?Give your answers as whole numbers or as fractions in their simplest form.
Answers
b) Michael has 8 - 0.16 = 7.84 less pints of juice than Luna. Alternatively, Michael has 0.16 more pints of juice than Luna.
Answer: 0.16
Step-by-step explanation:
The data set below represents the number of books checked out at the library each day. 21, 12, 15, 17, 6, 3, 19 Choose the correct answer from each drop-down menu to complete the statements. The range is books checked out. The median is books checked out.
Answers
The median and the range for the data-set are given as follows:
Median of 15 books checked out.Range of 18 books checked out.How to obtain the median and the range of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
The ordered data-set is given as follows:
3, 6, 12, 15, 17, 19, 21.
The middle value is of 15, hence it represents the median of the data-set.
The range of a data-set is defined as the difference between the largest and the smallest value in the data-set, hence:
21 - 3 = 18.
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200 People all speak at least one language, 73% speak german 62 % speak italian, how many speaks both languages ?
Answers
Answer:
70 people speak both languages-----------------
Use formula:
Total = German speakers + Italian speakers - BothWe are given:
Total number of people = 200 German speakers = 73% of 200 = 0.73 * 200 = 146 Italian speakers = 62% of 200 = 0.62 * 200 = 124 Both = xSubstitute given and solve for x:
200 = 146 + 124 - x 200 = 270 - x x = 270 - 200 x = 70So, 70 people speak both German and Italian.
II. Record in a university shows that 60% of students here get a job within 2 months after graduation. Past records indicate that for students in the school who get a job within 2 months after graduation, 70% gets scholarship at least one time during university. For those who can not get a job within 2 months, 25% get at least one university scholarship. Randomly select 1 student. Answer the following question:
a. What is the probability that the selected student does not get a scholarship, given that he cannot
get a job within 2 months after graduation?
b. What is the probability that the selected student gets no university scholarship?
Answers
To answer the given questions, let's use conditional probability based on the information provided:
a. To find the probability that the selected student does not get a scholarship, given that they cannot get a job within 2 months after graduation, we can use Bayes' theorem. Let's denote the events as follows:
A: Not getting a scholarship
B: Not getting a job within 2 months after graduation
We want to find P(A|B), which is the probability of not getting a scholarship given that the student cannot get a job within 2 months. According to the given information, 25% of students who cannot get a job within 2 months get at least one university scholarship.
Using Bayes' theorem:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) is the probability of not getting a job within 2 months given that the student does not get a scholarship. Since this information is not provided, we cannot determine this probability.
b. To find the probability that the selected student gets no university scholarship, we can use the law of total probability. Let's denote the events as follows:
A: Not getting a scholarship
B: Getting a job within 2 months after graduation
C: Not getting a job within 2 months after graduation
We want to find P(A), the probability of not getting a university scholarship. According to the given information, 60% of students get a job within 2 months after graduation, and among those students, 70% get at least one university scholarship. For students who cannot get a job within 2 months, 25% get at least one university scholarship.
Using the law of total probability:
P(A) = P(A|B) * P(B) + P(A|C) * P(C)
We don't have the values for P(A|B) or P(B) and P(A|C) or P(C), so we cannot calculate the exact probability of not getting a university scholarship.
Therefore, without additional information or values for conditional probabilities, we cannot provide specific numerical answers to these questions.
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A plug is removed from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be modeled by the expression 10x2 − 11x + 3, where x is the time in minutes. Choose the appropriate form of the expression that would reveal the time, in minutes, when the trough is empty. (1 point)
10(0)2 − 11(0) + 3
(5x − 3)(2x − 1)
10(x − 3)2 − 1
10(x − 1)2 − 3
Answers
When A plug is removed from a trough to drain the water, The appropriate form of the expression is 10(x - 1)² - 3. Option D
How to determine the appropriate form of expressionThe appropriate form of the expression that would reveal the time, in minutes, when the trough is empty is: 10(x - 1)² - 3.
This expression represents the volume of the trough after the plug is removed, with x representing the time in minutes. When the volume of the trough is equal to zero, it means the trough is empty.
Therefore, setting the expression equal to zero and solving for x will give us the time when the trough is empty.
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68 65 62 72 70 79 66 72 68 63 70 68 MeanMedianMode(s)Range
Answers
The mean, median, mode and range of the data are 68.58, 68, 68 and 17 respectively.
What are measures of central tendency?A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.
1. The mean of the data is;
mean = 62 + 63 + 65 + 66 + 68 + 68 + 68 + 70 + 70 + 72 + 72 + 79 / 12
mean = 68.58
2. The median of the data = 68
3. The mode of the data = 68
4. The range of the data = 17
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nathan makes $10 an hour delivering pizzas and $5 an hour babysitting his sister. he wants to make atleast $40, and his mom said he has to work for less than six hours a week. put this into a system of inequalities equation
Answers
Step-by-step explanation:
Let's denote the number of hours Nathan works delivering pizzas as "x" and the number of hours he works babysitting as "y." We can set up the following system of inequalities:
Nathan's total earnings should be at least $40:
10x + 5y ≥ 40
Nathan's total working hours should be less than six hours a week:
x + y < 6
These two inequalities represent the given conditions that Nathan wants to make at least $40 and work for less than six hours a week.
considering the unit price per ib of jelly beans, how much would a 25-pound shipment cost? i need answers ASAP
Answers
With the unit price of $5 per pound, the 25-pound shipment would cost $125.
We have,
To determine the cost of a 25-pound shipment of jelly beans, you would need the unit price per pound of jelly beans.
Without that information, it's not possible to calculate the total cost accurately.
Once you have the unit price per pound, you can simply multiply it by the weight of the shipment.
For example, if the unit price per pound is $5, then the cost of a 25-pound shipment would be:
Cost = Unit Price per Pound × Weight of Shipment
= $5/pound × 25 pounds
= $125
Thus,
With the unit price of $5 per pound, the 25-pound shipment would cost $125.
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Problema 1
En una calculadora se tecleó 35 X 100, pero se
cometió un error ya que se quería multiplicar
por 50. ¿Cómo se corrige sin borrar lo que ya
está?
Answers
The way to correct the entry on the calculator without deleting what is already there is by multiplying by 2.
Why would this correct the entry ?Consider the scenario at hand, where an inadvertent error was committed during a calculator operation. The initial intention was to multiply by 100, yet the input mistakenly resulted in a multiplication by 50.
Seeing as this is multiplication, and the number that was to be multiplied is larger than the number given, you can find the quotient of the larger number from the smaller number to be :
= 100 / 50
= 2
Then multiply the entry by 2 as this would then lead to the correct result of 3, 500.
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100 Points! Algebra question. Photo attached. Will give Brainliest! Please show as much work as possible. Thank you!
Answers
Answer:
6.6, 22/73,
Step-by-step explanation:
Alright, here we go.
A: The mean is all of the values divided by the number of values, which is equal to 1,927.5 or:
0.5 * 5 + 1 * 16 + 2 * 28 + 3 * 22 + 4 * 17 + 5 * 98 + 8 * 13 + 10 * 73 + 12 * 5 + 15 * 2 + 20 * 4 + 25 * 9.
There are 292 or 5 + 16 + 28 + 22 + 17 + 98 + 13 + 73 + 5 + 2 + 4 + 9 packages. 1,927.5 / 292 = 6.6
B: The packages that weigh less than five pounds are 5 + 16 + 28 + 22 + 17 or 88 / 292 = 22 / 73
C and D: Manager original mean result not given.
Fine the coordinates of the hole
Answers
The coordinates of the hole of the rational function are (-3, -3).
How to find the coordinates of the hole?Here we have the following rational function:
[tex]f(x) = \frac{x^2 + 3x}{x + 3}[/tex]
The hole is when the denominator becomes zero, that is at x = -3
Now, we can rewrite the numerator as:
x² + 3x = x*(x + 3)
Then we can rewrite the function as:
[tex]f(x) = \frac{x^2 + 3x}{x + 3} = \frac{x*(x + 3)}{x + 3} = x[/tex]
Evaluating that in x = -3 we get f(x) = -3, then the coordinates of the hole aer (-3, -3).
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer:
C
Step-by-step explanation:
using the sine ratio in the right triangle
sin P = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{PQ}[/tex] = [tex]\frac{12}{13}[/tex] , then
∠ P = [tex]sin^{-1}[/tex] ( [tex]\frac{12}{13}[/tex] ) ≈ 67° ( to the nearest degree )
Suppose a random sample of size 48 is selected from a population
Answers
The caluclated values are:
1.241.30 1.30 How to solve for the valuesN = 500:
SEM = 9 * √[(500 - 48) / (500 - 1)] / √(48)
= 1.24 (rounded to 2 decimals)
N = 5000:
SEM = 9 * √t[(5000 - 48) / (5000 - 1)] / √(48)
= 1.30 (rounded to 2 decimals)
N = 50000:
SEM = 9 * √[(50000 - 48) / (50000 - 1)] / √(48)
= 1.30 (rounded to 2 decimals)
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The table shows the mass of four packages. What is the total mass of the packages?
Answers
The total mass of the four packages is given as follows:
37.67 kg.
How to obtain the total mass of the four packages?The total mass of the four packages is obtained adding the masses of each package given on the table for this problem.
From the table given in this problem, the mass for each package is given as follows:
Package 1: 3.94 kg.Package 2: 14.81 kg.Package 3: 11.27 kg.Package 4: 7.65 kg.Hence, adding these amounts, the total mass of the package is obtained as follows:
3.94 + 14.81 + 11.27 + 7.65 = 37.67 kg.
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Please answer this question
Answers
Answer:
$40.00 is the answer
Step-by-step explanation:
also can you mark me as a brainlist if you get a chance
Answer: $40.00
Step-by-step explanation:
12 is 30% of 40
Pls help me and find out which 2 I got wrong I need it for my corrections pls help I don’t know which 2 I got wrong
Answers
The value of ascending order of numbers are,
⇒ (- 1/2)², 30%, 5/8, 5⁰ , |2|
We have to given that,
All the numbers are,
⇒ 5⁰
⇒ |2|
⇒ (- 1/2)²
⇒ 5/8
⇒ 30%
Now, We can simplify each as,
⇒ 5⁰
⇒ 1
⇒ |2|
⇒ 2
⇒ (- 1/2)²
⇒ 1/4
⇒ 0.25
⇒ 5/8
⇒ 0.625
⇒ 30%
⇒ 30/100
⇒ 0.3
Hence, Ascending order is,
0.25, 0.3, 0.625, 1 , 2
Or,
⇒ (- 1/2)², 30%, 5/8, 5⁰ , |2|
Thus, The value of ascending order of numbers are,
⇒ (- 1/2)², 30%, 5/8, 5⁰ , |2|
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In AOPQ, 0 = 180 cm, p = 280 cm and ZQ=84°. Find the area of AOPQ, to the
nearest square centimeter.
Answers
The area of the triangle is 25061.6 cm²
What is area of triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.
The area of a triangle is expressed as;
A = 1/2bh where b is the base a d h is the height. This formula only works for right angled triangle.
Another formula for area of triangle is 1/2 absinC
a = 180cm
b = 280cm
C = 84°
A = 1/2 × 180 × 280 × sin84
A = 50123.9/2
A = 25061.6 cm²
Therefore the area of triangle OPQ is 25061.6 cm².
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Colin walks two times around at one and 1 7/8 mile trail there are park benches everywhere 1/4 mile long trail but there are no benches at the store or another trail how many park benches are there in the trail
Answers
Answer:
15
Step-by-step explanation:
2 x 1 and 7/8 = 3 and 6/8 miles
= 3.75 miles
Since there are park benches every 1/4 mile on the trail, we can find the number of benches by dividing the total length of the trail by the distance between the benches:
Number of benches = (3.75 miles) / (1/4 mile per bench)
Number of benches = 15