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mote1985 [20]
2 years ago
8

If sin 0 = 15/17 use pythagorean identity to find cos 0

Mathematics
2 answers:
Inga [223]2 years ago
8 0
Hello : 
sin<span>θ = 15/17
</span> use pythagorean identity : cos²θ +sin² θ = 1 
cos²θ =  1 - sin² θ
cos²θ = 1-(15/17)² 
cos²θ = 1- 225/289
cos²θ = 64/289
cos²θ = (8/17)²
cosθ = 8/17 or -8/17
kipiarov [429]2 years ago
4 0

Answer:

Cosine (theta) = plus or minus 8/17

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1. Find the measurement of angle J.<br><br> 2. (5x - 13) (3x + 17)
Alex Ar [27]

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

y= 3x +5 -----(1)

(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

3x +5 +y +4x -10= 180

7x +y -5= 180

7x +y= 180 +5

7x +y= 185 -----(2)

Substitute (1) into (2):

7x +3x +5= 185

10x= 185 -5

10x= 180

x= 180 ÷10

x= 18

Substitute x= 18 into (1):

y= 3(18) +5

y= 59

Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

2x= 30

x= 30 ÷2

x= 15

∠LKJ

= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

8 0
2 years ago
The volume of a rectangular solid is given by the equation V = l ⋅ w ⋅ h . Find the volume of a box whose dimensions are l = 3 n
scoundrel [369]

3*2*6 is 36 yards cubed or 36 yards to the power of 3.

7 0
2 years ago
RIDDLE ME THIS Fresh and invigorated after completing her algebra homework, Mimi appeared at the living room door. She held a pi
Marat540 [252]

Answer:

Mimi is 15.

Step-by-step explanation:

Set up two equations, and solve by elimination.

 2(m+5) = d+5

- 3(m-5) =  d-5

_____________

2(m+5) - 3(m-5) = 10

2m + 10 - 3m + 15 = 10

-m + 25 = 10

-m = -15

<u>m = 15</u>

Plug this back in to get dad's age.

2(m+5) = d+5

2(15+5) = d + 5

2(20) = d + 5

40 = d + 5

<u>d = 35</u>

<u></u>

8 0
3 years ago
Find the missing side<br> 13 ft<br> 5 ft <br> x
Scilla [17]

Answer:

Assuming you're referring to the sides of a right triangle, the missing side X would be 12.

Step-by-step explanation:

The Pythagorean Theorem states that the two legs of a right triangle squared and added together is equal to the hypotenuse squared. 13^{2} is 169, 5^{2} is 25, 169 - 25 = 144. Take the square root of 144 and you'll get 12, which is the missing side of the right triangle.

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2 years ago
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bagirrra123 [75]

Answer:

2\frac{1}{3}\: ft

Step-By-Step Explanation:

Height\: of \:sail = 1\frac{1}{6}\:  ft = \frac{7}{6}\:  ft\\Base\: of \:sail = 4\:  ft \\Area\: of \:sail =\frac{1}{2} \times base \times height\\=\frac{1}{2} \times \frac{7}{6} \times 4\\= \frac{7}{6} \times 2\\=\frac{7}{3}\\=2\frac{1}{3}\: ft

6 0
2 years ago
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