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vlada-n [284]
2 years ago
14

Question 23 of 25

Mathematics
2 answers:
Crank2 years ago
5 0

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos37° = \frac{adjacent}{hypotenuse} = \frac{x}{15} ( multiply both sides by 15 )

15 × cos37° = x , then

x ≈ 12 ( to the nearest integer )

AlladinOne [14]2 years ago
4 0

Answer:

x rounded to the nearest integer would be 12.

Step-by-step explanation:

In order to calculate the length of x, you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of x. In this case, \frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x} ⇒ \frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})} ⇒ x=\frac{15*sin(53^{o})}{sin(90^{o})} ⇒ x=15*sin(53^{o} ) ⇒ x ≈ 12. So side x rounded to the nearest integer would be 12.

You might be interested in
William can text 84 words in 6 minutes. At this rate, how many minutes would it take him to text 126 words?
kow [346]

Answer:

The time required to text 126 words is = 9 minutes

Step-by-step explanation:

Given data

William can text 84 words in 6 minutes

Time required for text one word = \frac{6}{84} minute

Therefore the time required to text 126 words is given by

T = Time required for text one word × Total no. of words

T = \frac{6}{84} × 126

T = 9 minutes

Therefore the time required to text 126 words is = 9 minutes

8 0
3 years ago
Logan invested $180 in an account paying an interest rate of 2.6% compounded continuously. Assuming no deposits or withdrawals a
Mumz [18]

Answer:

250

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=180 r=0.026 t=12

Given values

A=180e^{0.026(12)}

A=180e

0.026(12)

Plug in

A=180e^{0.312}

A=180e

0.312

Multiply

A=245.90784475

A=245.90784475

Use calculator (with e button)

A\approx 250

A≈250

7 0
3 years ago
Jessica Jones $425 per week working at a hair salon the weekly expenses are $93.50. What percentage of weekly income goes to pay
AysviL [449]

Answer:

22%

Step-by-step explanation:

22% of 425 is 93.5

This means that 22% of her weekly income goes to paying her weekly expenses​.

Hope this helped!!

Please leave a thanks and a rating!

If this helped you please consider giving brainliest!!

3 0
3 years ago
Need help with 2,3,4
Harman [31]

Answers:

In these exercices are ilustrated the representations of the fractions

2) Firstly, we have 3 equal segments, each one representing \frac{1}{4}, hence:

\frac{3}{4} is <u>3</u> copies of \frac{1}{4}

Let's prove it, taking into account we are adding fractions with the same denominator:

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}

There are <u>4</u> equal parts that make a whole

Four copies of <u>\frac{1}{4}</u> make \frac{4}{4} or <u>1</u> whole

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}=1

3) Here we have a line divided into four segments, each one of \frac{1}{5}. Hence:

This is \frac{4}{5} of a line. \frac{4}{5} is <u>4</u> lengths of  \frac{1}{5}

\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4}{5}

If we draw one more \frac{1}{5} we will have \frac{5}{5} or 1 whole.

Then:

<u>5</u> lengths of \frac{1}{5} make \frac{5}{5} or <u>1</u> whole.

4) In this part the answer is in the attached image. If we have two equal segments, each one of \frac{1}{3} we will have as a result \frac{2}{3}.

If we add another \frac{1}{3} segment, we will have three segments of \frac{1}{3}, having as a result \frac{3}{3}=1

3 0
3 years ago
Please help A.S.A.P. What possible transforms are shown below? (Choose at least one.)
n200080 [17]
3 reflection of y axis
5 0
3 years ago
Read 2 more answers
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