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Alecsey [184]
4 years ago
7

Triangle abc is a right triangle and sin(53o) = . solve for x and round to the nearest whole number. which equation correctly us

es the value of x to represent the cosine of angle a?cos(53o) = 4/xcos(53o) = y/5cos(53o) = x/4cos(53o) = 5/y
Mathematics
2 answers:
Kay [80]4 years ago
3 0
Answer: cos(53o)=y/5 
<span>T
riangle abc is a right triangle and sin(53o) = . solve for x and round to the nearest whole number. which equation correctly uses the value of x to represent the cosine of angle a?cos(53o) = 4/xcos(53o) = y/5cos(53o) = x/4cos(53o) = 5/y</span>
                         
antiseptic1488 [7]4 years ago
3 0

The correct answer is:

B. cos(53°) = \frac{y}{5}

The equation correctly uses the value of x to represent the cosine of angle A.

|Huntrw6|

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F(x) = 2x2 + 12x + 1<br> Determine the vertex !
stealth61 [152]

Answer:

(-3, -17)

Step-by-step explanation:

The best way to find the vertex is to rewrite the given quadratic in vertex form:  y - k = a(x - h)^2.

The given quadratic is f(x) = 2x2 + 12x + 1.  We will focus on the first two terms and "complete the square."  f(x) = 2x2 + 12x + 1 can be rewritten as

f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is

f(x) = 2(x^2 + 6x + 9 - 9) + 1, or

f(x) = 2( (x + 3)^2  - 9 ) + 1, or

f(x) = 2(x + 3)^2 - 17

Comparing this to

f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k):  (-3, -17)

7 0
3 years ago
Trig Help please! 50 points!
IgorLugansk [536]

Answer:

C

Step-by-step explanation:

Remember the mnemonic: SohCahToa, where:

\sin(\theta)=\text{opposite}/\text{hypotenuse}\\\cos(\theta)=\text{adjacent}/\text{hypotenuse}\\\tan(\theta)=\text{opposite}/\text{adjacent}

Let's determine our side lengths first.

Note that our angle is A. So, we have to determine the sides with respect to A.

The opposite side to A is 16.

The adjacent side is 12.

And the hypotenuse is 20.

With this, we can find our trig ratios:

Sine:

\sin(A)=\text{opp}/\text{hyp}

Substitute 16 for the opposite and 20 for the hypotenuse. This yields:

\sin(A)=16/20

Reduce:

\sin(A)=4/5

Cosine:

\cos(A)=\text{adj}/\text{hyp}

Substitute 12 for the adjacent and 20 for the hypotenuse. This yields:

\cos(A)=12/20

Reduce:

\cos(A)=3/5

Tangent:

\tan(A)=\text{opp}/\text{adj}

Substitute 16 for the opposite and 12 for the adjacent. This yields:

\tan(A)=16/12

Reduce:

\tan(A)=4/3

So, our answers are:

\frac{4}{5}, \frac{3}{5}, \text{ and } \frac{4}{3}

Out of the answer choices, the choice that represents this is C.

So, our correct answer is C.

And we're done!

4 0
3 years ago
Read 2 more answers
Shawn earns $12.75 per hour. How many hours does she need to work to earn $102 or more. Write and solve an inequality.​
astra-53 [7]
First we divide 102 by 12.75 to get the hours which is 8 hours. So it would take 8 hours
4 0
3 years ago
Which of the following has the least value A. 5:7 B. 7/8 C.11/15 D.7/10
GREYUIT [131]

Answer:

A 5:7

Ste:p-by-step explanation

because you would look at what the denominator and 7 is the least and 5.

hope this helps!

5 0
3 years ago
The price of your favorite brand of jeans was $35 last month. This month the price is discounted by 15%. What is the current pri
Butoxors [25]

Answer:

5.25

Step-by-step explanation:

15% × 35 =

(15 ÷ 100) × 35 =

(15 × 35) ÷ 100 =

525 ÷ 100 =

5.25

6 0
3 years ago
Read 2 more answers
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