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Dimas [21]
3 years ago
12

UNIT 5 SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY, AND PROOF

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
M4 and m2 are equivalent
M2 and m3 are supplementary angles which mean they add up to 180°

M2+m3=180

Plug in the equation
3x+74+2x+11=180
Add up the x’s 3x+2x=5x
Add the constants on the left side
74+11=85
You get 5x+85=180
Subtract 85 from both sides
5x=95
Divide by 5
X=19

Now plug x into the m3 equation and get
2*19+11=49°
Because m4=m3, m4=49°

M3 and m1 are equivalent so set both equations equal to each other and solve bringing the same variables on each side

11x-9=7x+23
11x-7x=23+9
4x=32
X=8

Now plug x into either equation and you get
M3=79°

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Please do not send links you will be reported and removed. What is this answer in feet please
Yuri [45]

Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

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469

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP
AfilCa [17]

The length of the leach is 16.05 ft and the area of the mainsail is 64.94 ft²

<h3>What is application of law of sines?</h3>

The law of sines refers to the ratio of side length of triangle to the sine of the opposite angle which is same for all the sides.

SinA / a = SinB/ b = SinC/c

where, the A,B,C are the angles of the triangle and a,b,c are the opposite sides of the angle of triangle.

The mainsail foot is 13 feet long, the luff is 10 feet long has the length of the leach 6.93 ft and the area of the mainsail is 64.85 .

Part A; By using the law of sines;

SinA /10 = SinB / 13

SinA /10 = Sin54 / 13

A = 38.49°

C = 180 - (54 + 38.49)

C = 87.51°

So, Sin38.49 / a = Sin54/ b = Sin87.51/c

Sin38.49 / 10 = Sin54/ 13 = Sin87.51/c

c = Sin87.51 × 13 ÷ Sin54

c = 16.05 ft

Part B; Area of the mainsail = 1/2 × ab SinC

Area = 1/2 × 10 × 13 × Sin87.51

Area =  64.94 ft

Therefore, the length of the leach is 16.05 ft and the area of the mainsail is 64.94 ft²

Read more about the law of sines at; brainly.com/question/17289163

#SPJ1

3 0
2 years ago
X + y = 7, what is the value of 2x + 2y -2?<br>btw please hurry, thx &lt;3
stira [4]

Answer:

The answer is 12 because 2x is just 8 and 2y is just 6 so add that and get 14 then subtract 2.

Step-by-step explanation:

5 0
3 years ago
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