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UkoKoshka [18]
3 years ago
15

the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top

of the building. *

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

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And anything above 90 and below 360 is obtuse because it's fat xD
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2x + 3y + x + 7 identidy the terms, like terms, coefficients, and constants in each expression
charle [14.2K]

Answer:

terms, 2x, 3y , x and 7,

like terms, 2x, 3y, x and 7

Coefficient. 2 is the coefficient of 2x and 3 is the coefficient of 2y 1 is the coefficient of x

Constant. 7

Step-by-step explanation:

Given:

2x+3y+x+7

Terms are the number of parts in the  expression.

there are four terms 2x, 3y , x and 7,

Like terms are the part of the polynomials. 2x, 3y and x are like terms because  they both have an x attached. 7 is like terms because they have nothing attached.

The number that are  attached to variable is called Coefficient.

So In the term 2x the  number 2 is a coefficient because it is  attached to x similarly 3y the number 3 is a coefficient because it is  attached to y

and in the term x the number 1 is a coefficient.

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7 0
3 years ago
Suppose that 2000 is invented at a rate of 3.5%, compounded semiannually. Assuming that no withdrawals are made, find the total
Vinvika [58]

Answer:

$2,297.76

Step-by-step explanation:

Present value: P = 2000

Future value: F

Annual interest rate: r = 3.5% = 0.035

Time: t = 4 years

Number of compounding periods per year: n = 2

F = P(1 + \dfrac{r}{n})^{nt}

F = 2000(1 + \dfrac{0.035}{2})^{2 \times 4}

F = 2000(1 + 0.0175)^{8}

F = 2000(1.0175)^{8}

F = 2000(1.148881783)

F = 2297.76

Answer: $2,297.76

6 0
3 years ago
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