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damaskus [11]
3 years ago
11

What is the surface area of the triangular prism?

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

135 ft^2.

Step-by-step explanation:

The total surface area

= 2 * area of the triangular sides + area of the 3 rectangular sides

= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5

= 135 ft^2.

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area
Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

3:2

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle

If we define:

C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2

Then, the ratio of the circumference of two circles is 3:2 is:

\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}

The area of a circle is given by:

A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius

So the ratio of their area can be found as:

\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2

So:

\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

5 0
3 years ago
Submit your answers in simplest radical form.<br><br><br> help :(
rusak2 [61]

Answer:

x = 6√2, y = 6

Step-by-step explanation:

This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.

Therefore, you know that y will equal 6.

You have to multiply a by √2 to find x.

6 x √2 = 6√2

Hope this helps!

8 0
2 years ago
Read 2 more answers
What is the focus of the parabola with equation y = x2?
hammer [34]

Answer:

focus=(0,\frac{1}{4})

Step-by-step explanation:

We are given equation of parabola as

y=x^2

we can also write as

y=1(x-0)^2+0

now, we can compare

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

and find a , h , and k

a=1

h=0

k=0

now, we can use focus formula

focus=(h,k+\frac{1}{4a})

now, we can plug values

focus=(0,0+\frac{1}{4\times 1})

focus=(0,\frac{1}{4})


5 0
3 years ago
Hey can someone pls help me answer this? I was rlly confused
Ivahew [28]

Answer:

4\pi

Step-by-step explanation:

4 0
2 years ago
20% of 145<br> Please show work!!!!<br> I need an answer ASAP!!!!
IRISSAK [1]

Answer:

20/100 × 145

2/10 × 145

290 ÷ 10 = 29

Thus, 20% of 145 is 29

5 0
2 years ago
Read 2 more answers
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