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Andre45 [30]
2 years ago
5

The volume of a rectangular pyramid is 220 units^3

Mathematics
1 answer:
const2013 [10]2 years ago
6 0

Answer:

h = 11 units

Step-by-step explanation:

Volume of a Rectangular Pyramid = lwh/3

220 = 6*10*h/3

(220) * (3) =  ((6)*(10)*(h) / 3) * 3

660 = (6) (10) (h)

Simplify both sides of the equation.

660 = 60h

h = 11 units

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the figure is made up of a semicircle and a triangle. Find the area of the figure. Use pi equals 3.14​
valentinak56 [21]

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of triangle

step 1

Find the area of semicircle

The area of semicircle is

A_1=\frac{1}{2}\pi r^{2}

we have

r=10/2=5\ ft ----> the radius is half the diameter

\pi =3.14

substitute

A_1=\frac{1}{2}(3.14)5^{2}

A_1=39.25\ ft^2

step 2

Find the area of the triangle

The area of triangle is equal to

A_2=\frac{1}{2}bh

we have

b=8\ ft\\h=6\ ft

substitute

A_2=\frac{1}{2}(8)(6)

A_2=24\ ft^2

step 3

The area of the figure is equal to

A=A_1+A_2

substitute

A=39.25+24=63.25\ ft^2

5 0
3 years ago
The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.
Alexandra [31]
The area of the triangle could be determined by multiplying the length and the width. Since, we are given the area and the length, to find the width, you divide the area by the length:

w = A ÷ l
w = (x2 - 2x - 15) ÷ (x+3)

What do you have to multiply to (x+3) to yield x2 - 2x - 15? That would be x - 5. Since the sum of -5 and 3 = -2 (middle term) and the their product is -15 (last term).

Hence, the width is (x-5).
8 0
3 years ago
20 points!! Type the correct answer in the box. Use numerals instead of words. What value of n makes the equation true? -1/5n+7=
vredina [299]

Hey there! :)

Answer:

\huge\boxed{n = 25}

-1/5n + 7 = 2

Start by subtracting 7 from both sides:

-1/5n + 7 - (7) = 2 - (7)

-1/5n = -5

Multiply both sides by the reciprocal of -1/5, or -5.

(-5) · (-1/5n) = (-5) · (-5)

n = 25

6 0
3 years ago
Find the number of different subsets of the set mom dad son daughter
Ivahew [28]
Mom dad
mom son
mom daughter
mom dad son
mom dad daughter
mom son daughter

dad son
dad daughter
dad son daughter

son daughter
5 0
4 years ago
Express this number in scientific notation.<br> 3,868,000,000
Monica [59]

Hi friend


3868000000 in scientific notation is : 3.868* 10^9


I hope that's help:) Please rate

If you have any further questions please let me know.Thx

7 0
3 years ago
Read 2 more answers
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