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3 years ago

2. Solve for x. Round to the nearest hundredth if necessary. Х 19 29°

Mathematics

1 answer:

marysya [2.9K]3 years ago

5 0

Answer:

x ≈ 34.28

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan29° = $\frac{opposite}{adjacent}$ = $\frac{19}{x}$ ( multiply both sides by x )

x × tan29° = 19 ( divide both sides by tan29° )

x = $\frac{19}{tan29}$ ≈ 34.28 ( to the nearest hundredth )

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Mrs. Stevens is wanting to buy new border for her math bulletin board in the hallway l. The length of the board is 6.9 meters. T

kiruha [24]

Answer:

The quantity of board which Mr. Stevens need to buy is 22.4 meters

Step-by-step explanation:

Given as :

The length of board = 6.9 meters

The width of board = 4.3 meters

Let The measure of new board = x meter

Now,

The measure of new board = The perimeter of board

∵ The board is of rectangle figure

As, The perimeter of rectangular board = 2 × Length + 2 × width

So, The measure of new board = 2 × Length + 2 × width

or, x = 2 × 6.9 + 2 × 4.3

or, x = 13.8 + 8.6

or, x = 22.4 meters

So, The measure of new board = x = 22.4 meters

Hence The quantity of board which Mr. Stevens need to buy is 22.4 meters Answer

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3 years ago

The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference

alukav5142 [94]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

$\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6$

Therefore, the common difference is 6.

4 0

3 years ago

(1) In the State of Michigan there is a 6% sales tax, so if you purchase a

Alex17521 [72]

Answer:

1:0.06

Step-by-step explanation:

since there is a 6% sales tax, which is the same as 0.06. to calculate your tax, you would multiply both of the sides of the ratio by 75, and the left side will show you subtotal of what you are buying, the right will show tax.

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3 years ago

You earn a weekly salary of $475 plus a 5.5% commission on sales at a gift shop. How much would you earn in a week if you sold $

alexira [117]

5.5% as a multiple is 0.055
So 700 x 0.055= $38.50 in commission
475 (standard pay) + 38.50 (commission) = $513.50 in that week

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3 years ago

A washer and a dryer cost $713 combined. The washer costs $37 less than the dryer. What is the cost of the dryer

77julia77 [94]

Answer:

375

Step-by-step explanation:

713 - 37 = 676

676 divided by 2 = 338

That would be the washer but we need to add the 37 again for the dryer

338 + 37 = 375

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3 years ago