MATHEMATICS COLLEGE

GUYS HELP ME PLS. Tina is standing at the bottom of a hill. Matt is standing on the hill so that when Tina's line of sight isperpendicular to her body, she is looking at Matt's shoes.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?

Answers

Answer 1

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

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A bag contains 6 red marbles, 3 blue marbles and 7 green marbles. If three marblesare drawn out of the bag, what is the probability, to the nearest 1000th, that all three
marbles drawn will be red?

Answers

Answer: 0.036

Work Shown:

6 red, 6+3+7 = 16 total

A = 6/16 = probability of getting red the first time

after you pick 1 red, there's 6-1 = 5 left out of 16-1 = 15 total

B = 5/15 = probability of getting red the second time

then you repeat: 5-1 = 4 red left out of 15-1 = 14 total

C = 4/14 = probability of getting red the third time

B and C are dependent on A, C is dependent on B. This is assuming we do not put any marbles back.

Multiply out the fractions found

A*B*C = (6/16)*(5/15)*(4/14) = 0.0357 which rounds to 0.036 when rounding to the nearest thousandth.

F(x)=-x^2-10x find f(-7)

Answers

=Answer:

Step-by-step explanation:

f(-7) = -(-7)^2 - 10(-7) = -49 +70 = 21

Does the Associative property always,sometimes, or never hold for subtraction? explain your reasoning using examples and counterexamples

Answers

sometimes

example when it's true
-3+(4-1)=(-3+4)-1

when it's false
-3-(4-1)≠(-3-4)-1

A_n=a_n+6 where a_1=11 find the first five terms of each sequence

Answers

Answer:

a1 = 11

a2 = a1 +6=11+6 = 17

a3= a2 +6=17+6= 23

a4= a3+6= 23+6= 29

a5= a4+6= 35

Marking brainliest if you are aced+

Answers

Answer:

C. No e = h + 2

Step-by-step explanation:

The answer is (No. e = h + 2) because first of all 4 times 2/3 is 6 but 8 multiplied by 2/3 is not 10, So, A is wrong.

B is also wrong because it is basically the same thing as A.

D is not right because 6 - 2 is not 8.

So, the answer is C. No e = h + 2.

Hope this helps! :)

Zachary invested $5,300 in an account paying an interest rate of 9 % compoundedcontinuously. Peyton invested $5,300 in an account paying an interest rate of 85%

compounded quarterly. After 9 years, how much more money would Zachary have in

his account than Peyton, to the nearest dollar?