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oksano4ka [1.4K]
3 years ago
13

Express the trigonometric function in terms of its positive acute reference angle. cos298° = cos

Mathematics
1 answer:
Nataly [62]3 years ago
8 0
298* falls in quadrant 4 is 0* is the positive x-axis. In quadrant 4, cos is positive. Therefore, we simply need to calculate the acute angle,x, that correlates to 298*.

360 = 298 + x
62 = x

Therefore, we have :

cos(298*) = cos(62)

In case you need to know :

sin(298*) = - sin (62)
tan(298*) = - tan (62)

Since both sin and tan are negative in the fourth quadrant.
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If you save $700 and earn $3 interest for every $100, how much money will you have in all?
Margaret [11]

Answer:

721

Step-by-step explanation

700 divided by 100 is 7.

So you have 7 hundred and 7 times 3 is 21.

700+21=721

4 0
2 years ago
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The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro
Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

                                   (3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

                    Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

                   |RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024

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4 0
2 years ago
16) Total asset turnover is used to evaluate: A. The efficiency of management's use of assets to generate sales. B. The necessit
Mariulka [41]

Answer:

A. The efficiency of management's use of assets to generate sales.

Step-by-step explanation:

The total asset turnover is calculated by dividing the sales to the assets. It measures the ability for a company so that in efficient way it would generate the sales.

By using the assets of the company, the company is able to generate the sales that could help the company for achieving the goals and objectives

Therefore according to the given situation, the a option is correct

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2 years ago
Uma atleta percorreu cinco oitavos de uma pista e ainda precisa percorrer 75 quilômetros para completar seu percurso . Quantos q
ivolga24 [154]

Answer:

The athlete will run 200 kilometers.

A atleta percorrerá 200 quilômetros no total.

Step-by-step explanation:

She will run x kilometers.

She has already run 5/8 of the distance(5/8 of x), and still needs to run 75 kilometers.

So

\frac{5x}{8} + 75 = x

x - \frac{5x}{8} = 75

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3x = 8*75

x = \frac{8*75}{3}

x = 200

The athlete will run 200 kilometers.

A atleta percorrerá 200 quilômetros no total.

3 0
2 years ago
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