Answer:
72w+36
Step-by-step explanation:
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor. Use Triangle G and Triangle F
Answer:
The question is not complete, below is the completed question:
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.
1. Triangle G and Triangle F
2. Triangle G and Triangle B
3. Triangle B and Triangle F
4. Triangle F and Triangle H
5. Triangle G and Triangle H
6. Triangle H and Triangle B
Answer:
1. Triangle G and Triangle F = 4 times
2. Triangle G and Triangle B = 0.2 times
3. Triangle B and Triangle F = 16 times
4. Triangle F and Triangle H = 0.11 times
5. Triangle G and Triangle H = 0.44 times
6. Triangle H and Triangle B = 0.56 times
Step-by-step explanation:
using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles
1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]
[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]
To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first
1. Triangle G and Triangle F = 24:6 = 4
∴ The area of triangle F is 4 times larger than triangle G
2. Triangle G and Triangle B = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2
∴ The area of triangle B is 0.2 times larger than triangle G
3. Triangle B and Triangle F = [tex]24 : \frac{3}{2} = 16[/tex]
∴ The area of triangle F is 16 times larger than triangle B
4. Triangle F and Triangle H = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]
∴ The area of triangle H is 0.11 times larger than triangle F
5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]
∴ The area of triangle H is 0.44 times larger than triangle G
6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]
∴ The area of triangle B is 0.56 times larger than triangle H
PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X
Answer:
(x + y)/x is greater than x/(x + y)
Step-by-step explanation:
Given.
x > y
y > 0
Required
Which is greater?
x/(x + y) or (x + y)/x
Since x is greater than y & y > 0
Then definitely,
x + y > x
By the above analysis:
(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)
While
x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.
All improper fractions are greater than all proper fractions,
Hence:
(x + y)/x is greater than x/(x + y)
To further explain this:
Take
x = 3 and y = 2
x/(x + y) = 3/(3 + 2) = 3/5 = 0.6
(x + y)/x = (3 + 2)/3 = 5/3 = 1.67
See that (x + y)/x is greater than x/(x + y)
And this is so for all values of x and y
Where x > y and y > 0
Answer:
is less than
Step-by-step explanation:
Question 3 options: If 2y+13=y+5 then 2y + 1 = 3y + ___. What number would go in the blank? If you continued to solve, would y = - 14? state either yes or no
Answer:
Step-by-step explanation:
Given the expression 2y+13=y+5
To get the value of y, we willow the following steps:
Subtract 2y to both sides:
2y+13-2y = y+5-2y
13 = -y+5
subtract 5 from both sides:
13-5 = -y+5-5
8 = -y
-y = 8
multiply both sides by -1
-(-y) = -8
y = -8
Hence the value of y = -8 not -14
So NO,if you continue to solve, y would not be -14
Select the correct answer. What is the simplest form of the ratio 40: 167 ; A 20:8 ,B10:4 ,C5:4, D. 5:2, E. 10:8. Will give brainlyest. NEED ANSWERS ASAP
Answer:
It is in the simplest form and cannot be simplified.
Step-by-step explanation:
Answer:
5:2
Step-by-step explanation:
40/8 = 5 16/8 = 2
f) graph the function in part e. (10 points)
Answer:
Step-by-step explanation:
Given: $1.99 as the fee per book (slope) & fixed fee of $3 (y-intercept)
The function can be written out f(x) = 1.99x + 3.
Express the value of f(x) for x = 0.
This would cancel out the slope, giving us a horizontal line on (0, 3).
f(0) = 1.99(0) + 3
f(0) = 3
You can try to graph the function using a software or by hand.
The graph is continuous because the x-values can have any input as a point.
A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).
Answer:
0.25q
Step-by-step explanation:
A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.
A quarter is a coin in the United States which is 25 cents.
Converting 25 cents to dollars:
100 cents = $1
25 cents = 25 cents × $1 / 100 cent = $0.25
The total amount of money registered = number of quarters × $0.25
The total amount of money registered = q × $0.25 = 0.25q
solve the following quadratic equation using the quadratic formula -2x^2-3x+4=0
Point M is the midpoint of segment AC. Point M is located at (25.5, 60.1) and point C is located at (18.3, 72.5). What is the location of Point A ?
Answer:
[tex]A = (32.7,47.7)[/tex]
Step-by-step explanation:
Given
[tex]M = (25.5,60.1)[/tex]
[tex]C = (18.3,72.5)[/tex]
Required
Determine the coordinates of A
Midpoint is calculated as thus:
[tex]M(x,y) = (\frac{A_x + C_x}{2}, \frac{A_y + C_y}{2})[/tex]
Substitute the given values
[tex](25.5,60.1) = (\frac{A_x + 18.3}{2}, \frac{A_y + 72.5}{2})[/tex]
Multiply through by 2
[tex]2 * (25.5,60.1) = (\frac{A_x + 18.3}{2}, \frac{A_y + 72.5}{2}) * 2[/tex]
[tex]2 * (25.5,60.1) = (A_x + 18.3, A_y + 72.5)[/tex]
[tex](51,120.2) = (A_x + 18.3, A_y + 72.5)[/tex]
By comparison:
[tex]A_x + 18.3 = 51[/tex]
[tex]A_y + 72.5 = 120.2[/tex]
[tex]A_x + 18.3 = 51[/tex]
[tex]A_x = 51 - 18.3[/tex]
[tex]A_x = 32.7[/tex]
[tex]A_y + 72.5 = 120.2[/tex]
[tex]A_y = 120.2 - 72.5[/tex]
[tex]A_y = 47.7[/tex]
Hence:
[tex]A = (32.7,47.7)[/tex]
1. A = {2, 4, 6, 8, 10), B = {1,2,3,4,5,6,7,8,9,10}
Find A UB and An B.
(7
Answer:
AUB=2,4,6,8,10 & AnB=1,3,5,7,9
Place the terms into the correct column that describes the reactions of photosynthesis.
Word bank:
Processes: ATP Synthase, Calvin Cycle, Electron Transport Chain, Photosystem I, Photosystem II
Locations: Stroma, Thylakoids membrane
Reactants: ADP, ATP, Carbon Dioxide, NADP+, NADPH, Sunlight, Water
Products: ADP, ATP, NADPH, NADP+, Oxygen, Sugars
Answer:
Please find the correct placement in a tabular format in the attached image. The explanation has been done below.
Step-by-step explanation:
The process of photosynthesis occurs in two stages viz: light-dependent and light-independent reactions.
- In the light-dependent reaction, which occurs in the THYLAKOID MEMBRANE of the chloroplast, energy from SUNLIGHT is used to breakdown WATER to release electrons in order to synthesize ATP and NADPH from ADP and NADP+. In a nutshell, the processes involved in this stage are Electron transport chain, photosystem I, photosystem II, and ATP synthase.
- In the light-independent stage, also called CALVIN CYCLE, the ATP, NADPH, and CO2 are used as reactants to synthesize SUGAR (glucose), NADP+ and ADP (which goes back to the first stage) as products.
-74.25
That the right answer
Answer:
Okay...
Step-by-step explanation:
How many solutions does this problem have 7(y+3)=5y+8
Answer:
7(y+3)=5y+8
y= -3/2 One solution
Step-by-step explanation:
3. Heights of 1-year-old girls are Normally distributed, with mean 30 inches and standard deviation of 1.2 inches. A company claims that taking 500 mg of vitamin C makes girls taller. In a random sample of 100 baby girls who were given 500 mg vitamin C daily from birth to 1 year, the mean height was 30.1 inches. Is this evidence for the company’s claim? Assume the standard deviation remains the same. To make this determination, calculate and interpret the p-value for the appropriate test.
Answer:
The p- value is [tex]p-value = 0.2033[/tex]
Its interpretation is
As [tex]p-value > \alpha[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 30 \ inches[/tex]
The standard deviation is [tex]\sigma = 1.2 \ inches[/tex]
The sample size is n = 100
The sample mean is [tex]\= x = 30.1[/tex]
Let assume the level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu \le 30[/tex]
The alternative is [tex]H_a : \mu > 30[/tex]
Generally the test test is mathematically represented as
[tex]z = \frac{\= x- \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{30.1- 30 }{\frac{1.2}{\sqrt{100} } }[/tex]
=> [tex]z = 0.83[/tex]
Generally from the z-table the probability of (Z > 0.83 ) is
[tex]p-value = 0.2033[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to support the company claims at a level of sign9ificance of 0.05
Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between how many friends, n, attend the movie and the total cost in dollars, c.
Answer:
lets say ella and 3 other friends went, so since there is 4 people in total, there will be 4 $5 dollar tickets, so you multiply 5 and 4 which is $20.
Step-by-step explanation:
What is the only odd single-digit number greater than 1 whose cube is a perfect square
Answer:
7
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
The new number, 550, is 200 more than the original number. What is the approximate percent change?
The percent change is approximately 33%.
The percent change is approximately 55%.
The percent change is approximately 150%.
The percent change is approximately 175%.
Answer: I believe the answer is b. 55%
Step-by-step explanation:
200/ (550-200) * 100
Answer:
Ps the answer IS 55%
Step-by-step explanation:
Just took quiz on edg 2020
The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)
Answer:
X² = 13.5
Degree of freedom = 6
0.04
Step-by-step explanation:
Give the following :
Number of samples (n) = 7
Population standard deviation (σ) =.4 minutes
Sample standard deviation (s) = 6
Mean battery life = 60 minutes
A) Chisquare (X²) :
X² = ((n - 1) * s²) / σ²
X² = ((7 - 1) * 6²) / 4²
X² = (6 * 6²) / 4²
X² = (6 * 36) / 16
X² = 216 / 16
X² = 13.5
B.) The degree of freedom:
degree of freedom = n - 1
Degree of freedom = 7 - 1 = 6
C.) using a chisquare distribution calculator :
With degree of freedom (df) = 6
X² = 13.5
Hence,
P(X² > 13.5) = 0.04 ( from calculator)
how many one and one fourths are in four and one half
Answer:
There is 5 4rth
Step-by-step explanation:
what is 8 plus 8 over 1 with the power of 4
65,536 welcome :))))))
i’ll mark brainlest! pls help :(
Answer:
square root: [tex]\sqrt{61}[/tex]
decimal: 7.81
Step-by-step explanation:
What is the answer for 2
Help plz Easy math I know the answer isn’t A
Answer: B
Step-by-step explanation: It is greater or equal to -6 and less than or equal to 5.
The value of the expression 7*3 to the second power +(12-8)/ 2*4 is
Answer: 40
Step-by-step explanation:
PEMDAS
7 + 3 squared + (12-8) divided by 2 x 4
7 +9 +4 divided by 2 x 4
20/2 = 10 x 4 = 40
Graph the line passing through (-6,-3) whose slope is m=2
Answer:
Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.
Step-by-step explanation:
Start by plotting the point (−6,−3). Use the slope formula m=rise/run to identify the rise and the run.
m=2
rise/run = 2/1
rise = 2
run = 1
Start at (−6,−3) and count up 2 units and right 1 unit to find a second point. Connect the two points with a line to find the graph.
Which is equal to 0.63?
Answer:
63%
Step-by-step explanation:
A percentage is x/100. So 0.63 = x/100. So multiply by 100, and you'll get 63%.
Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the number of bottles of water he buys c represent his total cost
Answer:
3.78+.75b=c
Step-by-step explanation:
Is the equation 6x-15y=-12 in standard form? Why or why not
Answer:
2x-5y=-4
Step-by-step explanation:
No, the GCF is 3 not 1
Which number has the lowest value?
A1/5B0.25C0.21D1/3
Answer:
A
Step-by-step explanation:
Answer:1/3 is bigger
Step-by-step explanation:
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees.
What is the length of the arc?
Answers:
6.28 ft 09.42 ft
18.84 ft
28.26 ft
Answer:
A) 6.28ft
Step-by-step explanation:
r = 3ft
θ = 120°
Arc length = θ ⋅ (2πr/360)
Arc length = 120° ⋅ (2π ⋅ (3/360))
6.2831853
i hope this explains it, pls mark brainliest
P.9.115
A local bank charges $9 per month plus 24 per check. The credit union charges $7 per month plus 4e per chock. How many checks should be written each month to make the credit union a bottor deal?
The credit union is a better deal when writing or fower checks per month
This question was not properly written
Correct Question
A local bank charges $9 per month plus 2c per check. The credit union charges $7 per month plus 4cper check. How many checks should be written each month to make the credit union a better deal?
The credit union is a better deal when writing fewer checks per month
Answer:
Writing between 0 to 99 checks makes the credit union a better deal.
Step-by-step explanation:
Let the number of checks be represented by x
Note, 1 cent = $0.01
A local bank charges $9 per month plus 2c per check.
2c = $0.02
$9 + 0.02× x
= 9 + 0.02x
The credit union charges $7 per month plus 4c per check.
4c = $0.04
= $7 + 0.04 × x
= 7 + 0.04x
The credit union is a better deal when writing fewer checks per month
Hence:
Credit union < Local bank
7 + 0.04x < 9 + 0.02x
Collect like terms
0.04x - 0.02x < 9 - 7
0.02x < 2
x < 2/0.02
x < 100 checks
Hence, writing less than 100 checks (i.e writing between 0 to 99 checks) makes the credit union a better deal.