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romanna [79]
3 years ago
15

Find the measure of the indicated angle to the nearest degree

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

32°

Step-by-step explanation:

use this formula :

Now you want to get the angle be x, so the opposite side is 28 and hypotenuse is 53. Putting in the formula we get:

Sin(x) = 28/53

Sin(x)= 0.5283018868

So to find x just do Sin^-1

x = Sin^-1 (0.5283018868)

you get 31.8907918, ok so we just want the nearest degree and if we do that we get 32˚

if you put them into your calculator you will get 32˚ as your answer

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Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the
kap26 [50]

Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\

Future value of annuity (FV) = $13,782.12 (Approx)

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3 years ago
Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboa
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Select each pair of expressions that are equivalent. 3x + 14 – x + 112 and 4x + 134 2 + 6x and 2(3x + 1) 3(x + 1) – (1 – x) and
Levart [38]

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option 1

(3x + 14 - x + 112) and (4x + 134)

Since, (3x + 14 - x + 112) = (3x - x) + (12 + 112)

                                      = 2x + 124

Therefore, (3x + 14 - x + 112) ≠ (4x + 134) [Not equivalent]

Option 2

(2 + 6x) and 2(3x + 1)

2(3x + 1) = (6x + 2)

Therefore, (2 + 6x) = (6x + 2) [Equivalent]

Option 3

3(x + 1) - (1 - x) and (2x + 3)

Since, 3(x + 1) - (1 - x) = 3x + 3 + x - 1

                                  = (3x + x) + (3 - 1)

                                  = 4x + 2

Therefore, (2x + 3) ≠ (4x + 2) [Not equivalent]

Option 4

3x and 4(x + 1) - x - 4

Since, [4(x + 1) - x - 4] = 4x + 4 - x - 4

                                   = (4x - x) + (4 - 4)

                                   = 3x

Therefore, 3x = [4(x + 1) - x - 4] [Equivalent]

Option 5

(5.5 + 2.2x + 3.8x - 4.1) and (1.4 + 6x)

Since, (5.5 + 2.2x + 3.8x - 4.1) = (2.2x + 3.8x) + (5.5 - 4.1)

                                                 = (6x + 1.4)

Therefore, (1.4 + 6x) = (6x + 1.4) [Equivalent]

4 0
3 years ago
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