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Alex73 [517]
3 years ago
9

What is the measure of c

Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0

Answer:

90⁰

Step-by-step explanation:

add angle measurements to get 180⁰

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Prove that sec^4 (x)=1+2 tan^2 (x)+tan^4 (x)
IgorC [24]

Answer: sec^4(x)-tan^4(x) = 1+2 x tan^2(x)

Step-by-step explanation:

7 0
3 years ago
laptop has a listed price of $879.95 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax
Black_prince [1.1K]

Answer:

It would be $954.75

Step-by-step explanation:

8 0
3 years ago
20 % of 2 is equal to<br> A. 20<br> B. 4<br> C. 0.4<br> D. 0.04
zubka84 [21]

Answer: 0.4

Step-by-step explanation: To find 20% of 2, first write 20% as a decimal by moving the decimal point two places to the left to get .20.

Next, the word "of" tells us to multiply so we multiply .20 by 2.

(.20) (2) = 0.4

Therefore, 0.4 is 20% of 40.

3 0
3 years ago
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.
notsponge [240]

ANSWER

\sin( \theta)   =  -  \frac{15}{17}

\csc( \theta)   =  -  \frac{17}{15}

\cos( \theta)   =   \frac{8}{17}

\sec( \theta)   =    \frac{17}{8}

\tan( \theta)   =  -  \frac{15}{8}

\cot( \theta)   =  -  \frac{8}{15}

EXPLANATION

From the Pythagoras Theorem, the hypotenuse can be found.

{h}^{2}  = 1 {5}^{2}  +  {8}^{2}

{h}^{2}  = 289

h =  \sqrt{289}

h = 17

The sine ratio is negative in the fourth quadrant.

\sin( \theta)  = -   \frac{opposite}{hypotenuse}

\sin( \theta)   =  -  \frac{15}{17}

The cosecant ratio is the reciprocal of the sine ratio.

\csc( \theta)   =  -  \frac{17}{15}

The cosine ratio is positive in the fourth quadrant.

\cos( \theta)   =  \frac{adjacent}{hypotenuse}

\cos( \theta)   =   \frac{8}{17}

The secant ratio is the reciprocal of the cosine ratio.

\sec( \theta)   =    \frac{17}{8}

The tangent ratio is negative in the fourth quadrant.

\tan( \theta)   =  -  \frac{opposite}{adjacent}

\tan( \theta)   =  -  \frac{15}{8}

The reciprocal of the tangent ratio is the cotangent ratio

\cot( \theta)   =  -  \frac{8}{15}

8 0
3 years ago
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Robert has run the first 16 miles of a race, which means he is 72% finished. how long is the race
olga55 [171]
The race is 22 miles long
3 0
3 years ago
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