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Juliette [100K]
2 years ago
15

Find the total surface area of this triangular prism. 17 cm 8 cm 2 cm 15 cm

Mathematics
1 answer:
kumpel [21]2 years ago
8 0

Answer:

<em> 200cm²</em>

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism  = 200cm²

<em>Hence the total surface area of the prism is 200cm²</em>

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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
2 years ago
What is the value of a(b - c) when b = 3, c = -3 and a = -2?​
musickatia [10]

Answer:

-12

Step-by-step explanation:

a(b - c)

b = 3, c = -3 and a = -2

-2( 3- -3)

-2(3+3)

-2(6)

-12

4 0
3 years ago
Read 2 more answers
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exis [7]
I used 3.14 for pi to solve easier.

6. 6.28

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6 0
2 years ago
I need help with this question.
Nataly_w [17]

Answer:

Plot 2 2/5 at the 4th tick mark past 2

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5 0
2 years ago
A line passes through the two given points. Is it vertical, horizontal, or neither?
Leviafan [203]

<u>Answer:</u>

A line passes through the two given points (5,2), (5,-2). The line is vertical line

<u>Solution:</u>

Given, two points are (5, 2) and (5, -2)

We have to find that a line that passes through the given two points is vertical or horizontal or neither.

First let us find the slope of the line that passes through given two points.

So, slope of line m =\frac{y_{2}-y_{1}}{x_{2}-x_{2}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

So slope of our line =\frac{-2-2}{5-5}=\frac{-4}{0} = undefined

Here slope of our line is undefined which means it is parallel to the y – axis.

Hence, line passing through given points is vertical line

6 0
3 years ago
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