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frez [133]
2 years ago
8

BRAINLIEST FOR HELP!! *i might possibly have answer i want to see if i did it right*a 20 ft flagpole is casting a 8.9 foot shado

w, what is the suns angle?
Mathematics
1 answer:
hram777 [196]2 years ago
3 0

Step-by-step explanation:

the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.

the shadow is adjacent to the angle while the flagpole is opposite to it.

so to find the angle of elevation:

arctan(20/8.9)

= 66.01 degrees

comment if you have any doubt or need further help.

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We have to use the Distributive Property in this equation.
By the Distributive Property,
8(x+2)=36

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8x+16=36.
Now we need to isolate x. Remember PEMDAS?
8x=20
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3 years ago
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Please help me! i need help
Andrej [43]

Answer:

20%

Step-by-step explanation:

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3 years ago
Find the equation of a line through the given point A that satisfies the given condition: Point A(-2,7); parallel to the line y=
Inga [223]

Answer:

y = -3x + 1

Step-by-step explanation:

slope = -3

y = mx + b

7 = -3(-2) + b

7 = 6 + b

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3 years ago
A bank loaned out $14000, part of it at the rate of 9% per year and the rest at 17% per year. If the interest received in one ye
WINSTONCH [101]

Using simple interest, it is found that $13,872 was loaned at 9%.

<h3>Simple Interest</h3>

The amount of money after t years in simple interest is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

The interest earned is:

I(t) = Prt

A bank loaned out $14000, in two parts, hence:

P_2 = 14000 - P_1

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

r_1 = 0.09, r_2 = 0.17

The interest received in one year totaled $2000, hence:

I_2 = 2000 - I_1

Then:

I_1 = 0.09P_1

I_2 = 0.17I_2

14000 - P_1 = 0.17(2000 - I_1)

Isolating I_1 as a function of P_1, then we can replace on the equation for the first interest.

14000 - P_1 = 340 - 0.17I_1

0.17I_1 = -13660 + P_1

I_1 = \frac{P_1 - 13660}{0.17}

Then:

I_1 = 0.09P_1

\frac{P_1 - 13660}{0.17} = 0.09P_1

P_1 - 13660 = 0.0153P_1

0.9847P_1 = 13660

P_1 = \frac{13660}{0.9847}

P_1 = 13872

$13,872 was loaned at 9%.

To learn more about simple interest, you can take a look at brainly.com/question/25296782

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Elodia [21]

Answer:

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