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pochemuha
3 years ago
12

A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The heigh

t of the gift box is 8 inches. What is the volume of the gift box?
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
First of all there are multiple formula's to get the volume of a trapezoidal prism:

V=(1/2 * (base1 + base2) * h) * height prism

Using the numbers you gave: 
base1 = 7     base2 = 5     h = 4     height prism = 8

Putting this into the equation:  V=(1/2 * (7 <span>+ 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192

The volume of the gift box is 191 inches squared.</span>
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hoa [83]

Answer:

A=22.5\ \text{feet}^2

Step-by-step explanation:

We have,

Height of a cone is 12 feet

Volume of the cone is 90 feet

It is required to find the area of the base of the cone.

The base of a cone is circular in shape.

The formula used to find the volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2 h

here, \pi r^2=A (area of base of cone)

V=\dfrac{1}{3}\times Ah\\\\A=\dfrac{3V}{h}\\\\A=\dfrac{3\times 90}{12}\\\\A=22.5\ \text{feet}^2

So, the area of the base of the cone is 22.5\ \text{feet}^2.

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3 years ago
What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

y = \frac{3}{4}(x - 1)^2 + 4

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

h = 1, k = 4

The directrix is at y = 7, hence:

4 + 4a = 7

a = \frac{3}{4}

Hence, the equation is:

y = a(x - h)^2 + k

y = \frac{3}{4}(x - 1)^2 + 4

More can be learned about the equation of a parabola at brainly.com/question/26144898

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2 years ago
Place the first digit 298 / 4
torisob [31]

The answer is 74.5 ahen you divide 298÷4

8 0
4 years ago
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The following formula models the number of prison inmates, P, in thousands, who are in U.S prisons x years after 1980.
MariettaO [177]
2X^2+22x+318=1270
2x^2+22x-952=0
x^2+11x-476=0
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3 years ago
A computer generates 80 integers from 1 to 5 at random. The results are recorded in the table. What is the experimental probabil
matrenka [14]

The experimental probability of the computer generating a 2 is 20%.

<h3>What is the experimental probability?</h3>

The experimental probability determines the odds an event would happen based on the results of an experiment.

Experimental probability = ( number of times a 2 was generated / total number of numbers generated) x 100

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To learn more about probability, please check: brainly.com/question/13234031

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