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Norma-Jean [14]
3 years ago
13

20. Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work.

Mathematics
1 answer:
Lelu [443]3 years ago
4 0
Pentagon has 5 angles. 360/5= 72 degrees
16-gon has 16 angles. 360/16= 22.5 degrees
dodecagon has 12 angles. 360/12= 30 degrees
The measure of the exterior angle of any regular polygon is 360 divides by the number of sides the polygon has.
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Write the equation for a parabola with the focus at
katen-ka-za [31]
The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.
5 0
3 years ago
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The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle
Dovator [93]

\large \underline{ \mathbb{QUESTION:}}

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

\large\underline{ \mathbb{ANSWER  \: \& \: SOLUTION:}}

\large \tt{ tan \: x \:  =  \:  \frac{opposite}{adjacent} }

\large \tt{tan  \: x \:  =  \:  \frac{4}{9}}

\large \tt{ \:   \: \:  \:   \:  \:  \: \: x \:  =  \:  tan ^{ - 1}  \:  (0.444)}

\large \tt {\:  \:  \:  \:  \:  \:  \:  \: x \:  =  \: 23.96 ^{o} }

\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{  x \:  =  \: 24 ^{o} }}}

Therefore the angle of depression from the lifeguard to the boy is 24°.

8 0
2 years ago
Put in order from large to small:<br><br> 0,2,-1.5,-2,0.5,-5
Dafna1 [17]
0.5, 0.2, -1.5 , -2 , -5
8 0
2 years ago
I KNOW IT IT LONG BUT PLEASE HELP ME PLEASE
vovangra [49]

Answer:

8 points only for that of a long question

Step-by-step explanation:

6 0
3 years ago
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. What is 60% of 52?<br> SHOW WORK:
Bess [88]

Answer:

32.1% ( depending on question might have to round to 32% )

Step-by-step explanation:

60*52=3210

3210/100= 32.1

6 0
3 years ago
Read 2 more answers
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