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In-s [12.5K]
3 years ago
6

Find the missing angle of the triangle.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

#1 is 31°

#2 is 120°

Step-by-step explanation:

You know that a triangle is 180°. In the first one its a right triangle, which means that angle is 90°. Subtract 90 and 59 by 180. The second subtract 36 and 24 by 180 to get your answer.

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4 years ago
I REALLY NEED HELP!!!
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4 years ago
ANSWER FAST ITS URGENT
Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

{x}^{2}  =  {2}^{2}  +  {6}^{2}

{x}^{2}  = 4 + 36

{x}^{2}  = 40

x =  \sqrt{40}

x = 6.3

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

n = 6 \sqrt{2}

The hypotenuse can be found using Pythagoras Theorem.

{m}^{2}  =  {(6 \sqrt{2} )}^{2}  +  {(6 \sqrt{2} )}^{2}

{m}^{2}  = 36(4)

m =  \sqrt{36 \times 4}  = 6 \times 2 = 12

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

n =  \frac{1}{2} (12) = 6

and

m = 6 \sqrt{3}

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

{x}^{2}  +  {115}^{2}  =  {350}^{2}

{x}^{2}  =  {350}^{2}   -  {115}^{2}

{x}^{2}  = 109275

x =  \sqrt{109275}  = 330.6 ft

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4 years ago
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then to graph it just plug that equation I gave you into your graphing calculator and it will show you the graph. Or you can do it by hand and just make a S and N table and plug in values like starting with 0 or 1 and go up 0,1,2,3,4,etc. for each S and P and you will get the corresponding graph coordinate points to plot. Hope this helps! Please rate thank you!!
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