All categories

3 years ago

Find values for θ that make each statement true (show steps)

Mathematics

1 answer:

Ksju [112]3 years ago

4 0

Answer:

Step-by-step explanation:

1. sinФ = cos 25

25 ° is in the between 0 and 90°

therefore it can simply represent

cosФ= sin (90-Ф) = sin (90 - 25) = sin 65

2. sin(Ф/3 + 10) = cos Ф

cos Ф = sin (90 -Ф)

sin(Ф/3 + 10) = cos Ф

sin(Ф/3 + 10) = cos Ф = sin(90-Ф)

Ф/3+10=90-Ф

10Ф+3/30 = 90-Ф

10Ф+3 = 30(90-Ф)

10Ф+3 = 2700-30Ф

10Ф+30Ф=2700-3

40Ф = 2697

Ф = 2697 / 40 = 67.425 ≅ 67.4°

You might be interested in

What is the square root of 1675

liubo4ka [24]

40.9267 is the square root

7 0

3 years ago

Read 2 more answers

The area of a rectangle is 3/8 in and the length is 5/8 What is the width?

liberstina [14]

Answer:

The width W is :

$W=\frac{3}{5}$

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

$\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}$

6 0

3 years ago

If y =- 5x + 3, find the value of x when y = 13.

zmey [24]

Answer:

x=2

Step-by-step explanation:

You would first subsitute the y with 13. The you would subtract 3 from 3 and 13. Then you would have 10=5x. Then you would divide 5 by 5 and 10. You will get x = 2

3 0

3 years ago

Helppppppppppppppppppppp

Greeley [361]

Answer: 144ft

Step-by-step explanation: Hope this help :D

6 0

3 years ago

Plz help will mark brainliest

DENIUS [597]

Answer:

$-x^1} \\\\\\Hope that helps!$

Step-by-step explanation:

8 0

3 years ago