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OLga [1]
3 years ago
6

The sine of 58º is equal to the cosine of what angle?

Mathematics
1 answer:
solniwko [45]3 years ago
7 0
Check the picture below.

in a right-triangle, the cosine of one of the acute angles, is equivalent to the sine of the "other" acute angle, as the example shows in the picture.

and since both acute angles are "complementary angles",  namely they add up to 90°, then

sin(58°)  =  cos(90° - 58°)

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What are the ratios for sin A and cos A? The triangle is not drawn to scale.
dalvyx [7]

Answer:

SinA = \frac{84}{85}  and  CosA=\frac{13}{85}

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

Sin A = \frac{Opposite}{Hypotenuse} , and

CosA = \frac{Adjacent}{Hypotenuse}

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}

CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}

The correct answer is  the first answer choice.

7 0
3 years ago
Dana bikes 10 mi in 50 min.
Karolina [17]
To get the answer you need to find out how many miles she bikes in 10minutes.
Divide 50minutes by 10 you get 5. Now you divide 10(miles) by 5 and you get 2. So it means that in 10minutes she bikes 2miles. Now you need to know how many miles she bikes in 90minutes so if she bikes 2 in 10 then because 90:10=9 you do 2*9=18. She can bike 18miles in 90minutes. :))
4 0
3 years ago
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Question in photo! giving away master
aniked [119]

Answer:

D.) -3

Step-by-step explanation:

N is greater than -4 and less than -2.

Therefore, -3 is N since it is between -4 and -2.

6 0
3 years ago
Solve x -2/3(3x - 4) + 3x = 5/6 is x -19/6, 11/6, 21/6, 29/6
Tanzania [10]

Answer:

x=-11/12

Step-by-step explanation:

Given an equation for x

x -2/3(3x - 4) + 3x = 5/6

We are asked to find the value of x.

We use equation rules to solve

To get rid of denominator in fraction, let us multiply the whole equation by 6.

6x-4(3x-4) +18x = 5

Simplify:

-6x+18x+16 =5

12x = 5-16 = -11

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3 0
3 years ago
Solve for x please<br> 4.5x + 11.5 = 8.5x + 3.5
leonid [27]

Answer: have you tried to use photomath?


6 0
3 years ago
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