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Hatshy [7]
4 years ago
11

Amanda has a shipping box in the shape of a triangular prism. It is 9 inches tall with a triangular base that is 3 inches by 2 i

nches. What is the volume of this shipping box?

Mathematics
1 answer:
inna [77]4 years ago
8 0

Answer:

The volume of the shipping box is V=27\ in^3

Step-by-step explanation:

see the attached figure to better understand the problem

The volume of the triangular prism is equal to

V=BH

where

B is the area of the triangular base

H is the height of the prism

In this problem we have

H=9\ in

<em>Find the area of the triangular base B</em>

B=\frac{1}{2}bh

we have

b=3\ in\\h=2\ in

substitute

B=\frac{1}{2}(3)(2)=3\ in^2

<em>Find the volume of the triangular prism</em>

V=BH

we have

B=3\ in^2

H=9\ in

substitute

V=(3)(9)=27\ in^3

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Bingo uses the numbers 1-75. If you randomly select a number, what is the probability it will not be a multiple of ten? Explain
ValentinkaMS [17]

Multiples of ten are: 10, 20, 30, 40, 50, 60, & 70.

So there are (7 options that ARE multiplies of ten) out of (75 total options)

Thus, there are (75 - 7 options that are NOT multiples of ten) out of (75 total options).

Answer: \frac{68}{75}


7 0
4 years ago
Melissa went for a drive in her new car. She took 9 hours to drive 460.8 miles. What was her speed?
Elis [28]

Answer:

Her speed was 51.2 and the work i did was 460.8 / 9

Step-by-step explanation:

5 0
3 years ago
HELP ASAP
serg [7]

The equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

<h3>What is the equation of line?</h3>

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

The formula to find equation of line is,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

Here, x and y are the coordinate and subscript (1,2) used for the first and second point.

The points from which the line passes through are (2,5) and (-2,-3). Put the values,

(y-y₁)={(y₂-y₁)/(x₂-x₁)}(x-x₁)

(y-(-2))={(-3-5)/(-2-2)}(x-2)

y+2={-8/-4}(x-2)

y+2=2(x-2)

y+2=2x-4

y=2x-4-2

y=2x-6

Thus, the equation of the line which is plotted on the graph and passes from the points (2,5) and (-2,-3) is y=2x-6.

Learn more about the equation of line here;

brainly.com/question/13763238

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3 0
3 years ago
Someone please help me
Step2247 [10]

Answer:

20 sq in

Step-by-step explanation:

formula is (base * height)/2 so plug it in:

5*8=40

40/2=20

20 sq in

8 0
2 years ago
Daniel is a very good television salesperson. His annual sales average at $187,400. His commission on sales is 30% and his annua
BaLLatris [955]

Answer: $96,220

Step-by-step explanation:

From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.

His annual gross income will be his annual base salary plus commission annually. This will be:

= $40,000 + (30% × $187,400)

= $40,000 + (0.3 × $187,400)

= $40,000 + $56,220

= $96,220

7 0
3 years ago
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