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In-s [12.5K]
2 years ago
9

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Mathematics
1 answer:
icang [17]2 years ago
8 0

Step-by-step explanation:

(2 × 1/2 × 20 × 15) + (16 ×15) + (20 × 16) + (25×16)

300 + 240 + 320 + 400 = 1260 ft²

You might be interested in
After triangle ACE is dilated by a factor of 6, it has an area of 180 square inches. What was its area before dilation?
Agata [3.3K]

Answer:

The area of triangle ACE before dilation is:  30 square inches

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

The length of the image can be determined by multiplying the length of the original point by a certain scale factor.

Given that after triangle ACE is dilated by a factor of 6, it has an area of 180 square inches.

Thus, it means the dilated area is 6 times the area before dilation.

Let x be the pre-dilation area

As the dilated area is 6 times the area before dilation, so

6x = 180

divide both sides by 6

6x/6 = 180/6

x = 30 square inches.

Therefore, the area of triangle ACE before dilation is:  30 square inches

4 0
3 years ago
HELP! A daycare purchases two type of snacks, granola bars and fruit rolls. One week, they purchase 10 packs of granola bars and
ch4aika [34]
10x+6y=152
5x+3y=76
7x+12y=200
-20x-12y=-304
-13x=-104
x=8
40+3y=76
3y=36
y=12
There are 8 granola bars in a pack and 12 fruit rolls in a pack
5 0
3 years ago
Read 2 more answers
Two less than the product of 9 and a number
Yanka [14]

Answer:

2-9=x

HOW

let the number be x

then 2 less than product 9

so

2-9

and a number

we don,t know number so take it x

so 2-9=x

6 0
2 years ago
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

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

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

8 0
3 years ago
Which is the simplified form of p⁰? <br>O p <br>O 1/p <br>O 0 <br>O 1​
tatuchka [14]

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

6 0
3 years ago
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