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garri49 [273]
3 years ago
7

Find the number of sides when:

Mathematics
1 answer:
svp [43]3 years ago
7 0
((n-2)×180)/n = 156
(n-2)×180=156n
24n =360
n =15

360/n =36
n = 10

a)15 b)10
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This is the one!!!!!!!!!!!
sukhopar [10]
All you have to do is move the denominator on the other side, by multiplying.

a-10
------- = -9  
20 

multiply 20 x -9
= -180

then it becomes a-10=-180
                             +10  +10
a=-170
4 0
3 years ago
Read 2 more answers
Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose
yawa3891 [41]

Answer:

V=5\sqrt{3}\ m^3

Step-by-step explanation:

we know that

The volume of a trough is equal to

V=BL

where

B is the area of equilateral triangle

L is the length of a trough

step 1

Find the area of  equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

B=\frac{1}{2} b^{2} sin(60\°)

where

b=2\ m

sin(60\°)=\frac{\sqrt{3}}{2}

substitute

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

B=\sqrt{3}\ m^{2}

step 2

Find the volume of a trough

V=BL

we have

B=\sqrt{3}\ m^{2}

L=5\ m

substitute

V=(\sqrt{3})(5)

V=5\sqrt{3}\ m^3

3 0
3 years ago
HELP HELP HELP , I WILL MARK BRAINLIEST!!
Nataly [62]

Answer:

c

Step-by-step explanation:

3 0
2 years ago
AC = 9x - 12, CD = 4x + 18, AD = ?​
GrogVix [38]

If we assume that point C is somewhere on segment AD, then,

AD = AC + CD

AD = (9x-12) + (4x+18)

AD = (9x+4x) + (-12+18)

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3 0
3 years ago
Choose the point-stope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope
Keith_Richards [23]

Answer:

y-6 = -3(x+1)

Step-by-step explanation:

The point-slope form of a line is the following:

y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.

In this case, m=-3 and (xo, yo) = (-1, 6).

Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)

In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:

y-6 = -3(x+1)

6 0
3 years ago
Read 2 more answers
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