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mina [271]
3 years ago
15

A cable is attached to the top of an 80' pole and to a stake in ground 35' from the base of the pole. What angle will the cable

and the ground form?

Mathematics
1 answer:
Finger [1]3 years ago
4 0

Answer:

66.37 degrees.

Step-by-step explanation:

If the angle is x then

tan x = opposite / adjacent side = 80/35.

x = arctan (80/35)

= 66.37 degrees.

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8 0
3 years ago
Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In
FromTheMoon [43]
She will likely finish the graduation sessions in less time.
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3 years ago
30°<br> 8 + 6x<br> 4x + 2 <br> in a triangle
andrey2020 [161]

Answer:

x=12

Step-by-step explanation:

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

32 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x

32 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

32 + -2x = 8 + 0

32 + -2x = 8

Add '-32' to each side of the equation.

32 + -32 + -2x = 8 + -32

Combine like terms: 32 + -32 = 0

0 + -2x = 8 + -32

-2x = 8 + -32

Combine like terms: 8 + -32 = -24

-2x = -24

Divide each side by '-2'.

x = 12

Simplifying

x = 12

4 0
3 years ago
Write an equation for the nth term of the arithmetic sequence 22, 15, 8, 1,.
DaniilM [7]

Answer:

aₙ = 7n +29

Step-by-step explanation:

  • Arithmetic sequence                

                           22 ; 15 ; 8; 1;........aₙ

  • the nth term

                 aₙ = -7n +29

8 0
3 years ago
Stan ran 4 7/10 miles, which was 1 3/10 fewer miles than Matt ran. Four students wrote and solved equations to find m, the numbe
nydimaria [60]

Answer: <u><em>Miles ran by Matt = 6 miles</em></u>

Step-by-step explanation: Miles ran by Stan = 4 7/10

i.e. 1 3/10 miles less than Matt.

∴ Miles ran by Matt = 4 7/10 + 1 3/10 = 60/10 = 6miles

∴<u><em> Miles ran by Matt = 6 miles</em></u>

<u><em /></u>

6 0
3 years ago
Read 2 more answers
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