All categories

3 years ago

Two rectangular pyramids are similar. The smaller pyramid has a volume of 12 cubic feet, and

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Volume of Big Pyramid= 324 cubic feet

Volume of small pyramid= 12

Volume of a pyramid is given as V=⅓xBasexheight

For the big pyramid

324=⅓xbasexheight

But 324= 27x12

Then for the big pyramid,

12=1/3x1/27xbasexheight

For the small pyramid

12=1/3xbasex6

Since both base are similar and from the equations derived so far

1/3x1/27xheight=1/3x6

Height=27x3x1/3x6=162feet

You might be interested in

15+6X = Y(32+ 12x)-|

hammer [34]

i hope it helps please mark me as brainliest please

6 0

2 years ago

16^10 x 16^4 need the work

Alex787 [66]

Answer:

$16^{10}*16^{4} \\= 16^{14}$

Property used: $a^{m} * a^{n} = a^{m+n}$

3 0

2 years ago

1. What is the value of x? 19 31 38 62

Lera25 [3.4K]

I hope this helps you

31 and x looking same arc

x=31

7 0

2 years ago

Read 2 more answers

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

5 0

2 years ago

Read 2 more answers

Determine if the linear system

zubka84 [21]

Answer:

b. The system is not in echelon form because the system is not organized in descending "stair step" pattern so that the index of the leading variables increases from the top to bottom.

Step-by-step explanation:

The given linear system has a equation which is not in echelon form. The echelon is a system which divides the data into rigid hierarchal groups. The given linear equation in not in echelon form as the leading variables are increased from top to bottom indicating descending stair step pattern.

4 0

2 years ago