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Umnica [9.8K]
3 years ago
8

A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?

Enter your answer in the box. ft³
Mathematics
1 answer:
maksim [4K]3 years ago
6 0

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

According to the data we have:

length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}

width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}

Then:

A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}

Thus, the volume is:

V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875

Answer:

76.875 \ ft ^ 3

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jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya.
Debora [2.8K]
So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
M = 24
S = 16
4 0
3 years ago
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Please help and answer
Lubov Fominskaja [6]

Answer:

so the answer is B,D,E,F

and question a is B i guess

5 0
3 years ago
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Nostrana [21]

Answer:

The y-coordinate of F is 8.

Step-by-step explanation:

The area of the large triangle = 1/2 * base * height.

From the given coordinates:

The base of the large triangle =  x coordinate of C - x coordinate of A

= 11 - 3 = 8 units.

It's height = y coordinate of A = 12, so

Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.

Using a similar calculation for the small triangle:

Base = 10 - 6 = 4 and height = k units.

So it's area = 1/2 * 4 * k = 2k unit^2.

So from given area of the shaded part:

48 - 2k = 32

-2k = -16

k = 8.

8 0
2 years ago
What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2
mr Goodwill [35]

Make two shapes out of it.

The bottom is a rectangle 14 x 5 = 70 square cm

The top is a triangle 1/2 x 12 x 5 = 30 square cm

Total area = 70 + 30 = 100 square cm

4 0
3 years ago
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Help easy math question!!!
bogdanovich [222]

Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

c^{2} - b^{2}  = a^{2}

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

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