MATHEMATICS HIGH SCHOOL

If the volume of a certain pyramid is x and another pyramid is made which is 7 times larger (that is, all the linear dimensions have been increased by a factor of 7), what is the volume of the new pyramid (in terms of x)?

Answers

Answer 1

Answer:

The volume of the new pyramid is given by:

$V = 343x$

The volume of a pyramid of radius r and height h is given by:

$V = (\pi r^2h)/(3)$

Initially, we suppose that the volume is x, that is:

$V = (\pi r^2h)/(3) = x$

Then, dimensions are multiplied by 7, that is, $r = 7r$ and $h = 7h$ , thus:

$V = (\pi (7r)^2(7h))/(3)$

$V = 343(\pi r^2h)/(3)$

$V = 343x$

A similar problem is given at brainly.com/question/21334693

Answer 2

Answer:

Answer:

Step-by-step explanation:

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9 is 60% of what number?

Answers

Lets say 9 is 60% of x
so 9/x= 60/100 or x= 100*9/60=15
so 9 is 60% of 15.
Hope I helped!:-)

Claire has 15 green beads.8 blue beads,and 4 yellow beads.If she puts them onto 3 strings equally,how many beads are on each string

Answers

the answer is 9 becouse 8+4+3 equals 27 and 27 divided by 3 is 9

A group of children, 6 to 10 years old, were asked how many video games they owned. The scatter plot shows the results.What is the child’s age for the outlier?

Answers

the answer is 10.Think of the outlier as in the dot that's off-topic out of the entire graph.

Find f (3) of the function: x square - 2x + 1

Answers

Answer:

f(3) = 4

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x) , that is

f(3) = 3² - 2(3) + 1 = 9 - 6 + 1 = 4

Find the unit rate: 6 yards of fabric for $8.10

Answers

Answer:

$1.35 per yard

Step-by-step explanation:

$8.10/6=$1.35

Answer:

$1.35

Step-by-step explanation:

$8.10 divided by 6

In quadrilateral ABCD what is m

Answers

Answer:

B.99°

Step-by-step explanation:

105°+ 66°+90°+ angle c=360°

angle c= 360° - 261

=99°

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jordan has been offered two summer jobs. One job is at the mall and pays $7 per hour. The other job is with your neighbor, who will pay $50 per week plus $5 per hour. How many hours per week would jordan have to week for both jobs to pay the same amount?