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3 years ago

9

Mr. Menedez ran 13.1 miles at a constant rate for 150 minutes. To find how fast he ran, you solve the equation 13.1 = x • 150. W

hat does x represent?

1 answer:

Elodia [21]3 years ago

5 0

To find x, divide 13.1 by 150 to get <span>0.08733333333.</span>

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Crystal solved the following equation incorrectly. In which step did she make a mistake? A Step 1 B Step 2 C Step 3 D Step 4

dem82 [27]

Answer: i don't know

Step-by-step explanation:yep

6 0

2 years ago

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on

lisov135 [29]

Hi there!

<u>What we need to know:</u>

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

<u>First question</u>

For the first question, we're given the angle with a measure of 56 degrees and the length of the <em>hypotenuse</em>. We must calculate <em>a</em>, which represents the side <em>adjacent </em>to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$

Isolate <em>a</em> by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

$a=7.3$

Therefore, <em>a</em> is equal to 7.3 when rounded to 1 decimal place.

<u>Other information you will need to know:</u>

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

$\displaystyle sin\theta=\frac{5}{8}$

In this case, we will use the inverse sine ratio:

$\displaystyle \theta=sin^-^1(\frac{5}{8})$

Solve using a calculator:

$\displaystyle \theta=39$

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0

2 years ago

At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please

inysia [295]

Answer:

your answer is 5 dollars per hour

Step-by-step explanation:

35/7 = 5

4 0

3 years ago

Read 2 more answers

Or a very large set of data the measured mean is found to be 288.6 with a standard deviation of 21.2. assuming the data to be no

SashulF [63]

The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.

Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.

So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ

That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)

Answer: 264.22 to 312.98

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3 years ago

If your dinner bill was $80 and you left a 15% tip. How much money did you leave as a tip? What is your total bill cost?

nadya68 [22]

Answer: 92 dollars because 15% divided into 80 is 12 and add 80 to 12 and its 92

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3 years ago