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3 years ago

HELP!!! 15 points. picture below

Mathematics

2 answers:

vlada-n [284]3 years ago

7 0

Step-by-step explanation:

$\sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3}$

Vaselesa [24]3 years ago

3 0

Answer:

cos theta =± 2/3

Step-by-step explanation:

sin theta = sqrt(5) /3

sin theta = opp side / hypotenuse

We know that

a^2 + b^2 = c^2 from the pythagorean theorem

opposite side ^2 + adjacent side ^2 = hypotenuse ^2

( sqrt(5)) ^2 + adjacent side ^2 = 3^2

5 + adjacent side ^2 = 9

Subtract 5 from each side

5-5 + adjacent side ^2 = 9-5

adjacent side ^2 = 4

Taking the square root of each side

adjacent side = ±2

We know that

cos theta = adj side / hyp

cos theta =± 2/3

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12 is what percent of 19

VikaD [51]

Answer:

63%

Step-by-step explanation:

12/19=0.63157895

0.63157895*100=63.1578947

7 0

3 years ago

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

8 0

3 years ago

What is the answer to this problem?

Andrei [34K]

i think the best answer for this question is A)

5 0

3 years ago

Ill Mark Brainliest If you answer Divide 1/2 and 1/8 and express the answer in simplest terms. If necessary, use / for the fract

Yuri [45]

Answer:

Step-by-step explanation:

3 0

3 years ago

Solve the system of equations by subsitution.<br> b = 4a +2<br> 12a - 3b = -6

Vladimir [108]

Answer:

infinite solution

Step-by-step explanation:

hello

we substitute b = 4a + 2 in the second expression

12a -3*(4a+2) = -6

<=> 12a -12a -6 = -6

<=> -6 = -6

which is always true

so there is infinite solution

hope this helps

5 0

3 years ago