Ask question

Ask question

All categories

3 years ago

7

A pyramid with a rectangular base has a volume of 60 cubic feet and a height of 6 feet. The width of the rectangular base is 4 f

eet. Find the length of the rectangular base.

1 answer:

Vedmedyk [2.9K]3 years ago

4 0

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

You might be interested in

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

How to simplify 7+(-8) )

FinnZ [79.3K]

It would be -56, just multiply as normal

8 0

3 years ago

Read 2 more answers

Rolands suitcase has a mass of 2,500 dekagrams. How many kilograms is his suitcase?

Tasya [4]

A decagram is 10 grams, so first lets convert the decagrams to grams and then after we'll change to kilograms.
If 1 decagram equals 10 grams, then 2500 decagrams is equal to:
2500*10 = 25000 grams
Now, 1 kilogram equals 1000 grams so 25000 grams equals:
25000/1000 = 25 kg
therefore, 2500 decagrams equals 25 kg

3 0

3 years ago

Can someone answer this problem fast for me please

agasfer [191]

$1 \times {3}^{100}$

8 0

3 years ago

Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the

vodomira [7]

The answer is letter A) Yes, one pair of opposite sides could measure
<span>10 in., and the other pair could measure 13 in. </span>

6 0

3 years ago

Read 2 more answers