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3 years ago

6. A two-story building measures 21 feet

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

7 0

Answer:

Step-by-step explanation:

First figure the ratio of the real building to the model which is 21 divide 3. So the ratio is 1:7, since we're finding the height of the model, we divide 7 by 84 which is 12

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Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work

r-ruslan [8.4K]

Answer:

The error was made in step 4, $\pi$ should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Given that:

Volume of cylinder, $V = 576 \pi\ cm^3$

Radius of cylinder, r = 8 cm

To find:

The error in calculating the height of cylinder by Sandra ?

Solution:

We know that volume of a cylinder is given as:

$V = B h$

Where B is the area of circular base and

h is the height of cylinder.

Area of a circle is given as, $B = \pi r^2$

Let us put it in the formula of volume:

$V = \pi r^2 h$

Step 1:

Putting the values of V and r:

$576\pi = \pi 8^2 h$

So, it is correct.

Step 2:

Solving square of 8:

$576\pi = \pi \times 64\times h$

So, step 2 is also correct.

Step 3:

$h=\dfrac{576\pi}{64 \pi} = \dfrac{64 \pi \times 9}{64\pi}$

Step 4:

Cancelling 64 $\times \pi$ ,

h = 9 cm

So, the error was made in step 4, $\pi$ should have also been cancelled making the correct answer as 9 cm.

3 0

3 years ago

What is meant by confounding?

ankoles [38]

Answer:

Step-by-step explanation:

In a study, if we want to measure of establish a relation between two variables, we say that there is a confounding variable when there is a third variable that is having an effect on our original two variables but this third variable wasn't originally measured in our study. Therefore our results are misleading because the relation between our two variables is being influenced by the confounding one.

This is why the correct answer would be the a) An explanatory variable has a great effect on a response variable. And this causes a misleading interpretation between the two variables.

7 0

3 years ago

Explain how to solve one absolute value equation by writing it as two equations.

ddd [48]

If you have
|a|=b, then solve for the variable in euations
a=b and a=-b
for ineqalities, it is much trickier

for
|a|>b, assume a>b and a<-b
for
|a|<b, asssume -b<a<b

5 0

3 years ago

The point ( -3, -5 ) is on the graph of a function. which equation must be true regarding the function?

Y_Kistochka [10]

Answer:-4-5

Step-by-step explanation:

7 0

3 years ago

What is the solution for the equation 6x - 8 = 4x? x =

GarryVolchara [31]

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 4x

subtract 4x from both sides of the equation

6x - 4x -8 = 4x - 4x

2x - 8 = 0

add 8 to both sides of the equation

2x - 8 + 8 = 0 + 8

2x = 8

divide both sides of the equation by 2

2x/2 = 8/2

x = 4

4 0

3 years ago

Read 2 more answers