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IgorLugansk [536]
3 years ago
14

12 POINTS!!!!! Find the side length of the cube with the given volume.

Mathematics
1 answer:
zavuch27 [327]3 years ago
6 0

volume is the side length cubed(s^3). So if you take the cube root of 125 you can find the side length of the cube.

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The ratio of the heights of two similar solids is 6:11. Find the ratio of their surface areas.
vaieri [72.5K]

Answer:

The ratio of surface areas is 36:121.

Step-by-step explanation:

We have, the ratio of the heights of two similar solids is 6:11. It is required to find the ratio of their surface areas. As the two solids are similar, it means that the ratio of surface areas of solids is directly proportional to the square of their heights such that,

\dfrac{S_1}{S_2}=(\dfrac{h_1}{h_2})^2\\\\\dfrac{S_1}{S_2}=(\dfrac{6}{11})^2\\\\\dfrac{S_1}{S_2}=\dfrac{36}{121}

So, the ratio of surface areas is 36:121.

8 0
3 years ago
A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 1
Nadya [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

1

3

3

5

7

8

10

10

12

12

Annual sales (Y) :

85

97

95

97

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

4 0
3 years ago
Find the area of each parallelogram below.<br>​
Zielflug [23.3K]

Answer:

area of first

parallelogram

= 25x8

=200m^2

area of second

parallelogram

12x7

=84f^2

Step-by-step explanation:

I hope it's helpful for you

7 0
2 years ago
What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3
Sauron [17]

Answer:

The solution to the given system of equations is (-2,\frac{5}{3})

Therefore the values of x and y are x=-2 and y=\frac{5}{3}

Step-by-step explanation:

Given equations can be written as

y=\frac{2}{3}x+3\hfill (1)

x=-2x+3x=-2\hfill (2)

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

y=\frac{2}{3}(-2)+3

=-\frac{4}{3}+3

=\frac{-4+9}{3}

=\frac{5}{3}

Therefore the values of x and y are  x=-2 and y=\frac{5}{3}

The solution to the given system of equations is (-2,\frac{5}{3})

5 0
3 years ago
Read 2 more answers
Given this rectangular prism with length
34kurt

Answer: width = 36 m

Step-by-step explanation:

Width = Volume / (height x length)

Width = 13500 / (25 x 15)

= 13500/375

= 36 m

4 0
3 years ago
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