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2 years ago

The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Mathematics

1 answer:

Serhud [2]2 years ago

8 0

Answer:

<h2> $length = \frac{25}{28}$ </h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3> $length = \frac{area}{width}$ </h3>

So we have

<h3> $length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4}$ </h3>

We have the final answer as

Hope this helps you

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Which expression can be used to find 17% of 58?

posledela

Answer:

58 times 0.17 which agrees with answer C in the given list of possible answers.

Step-by-step explanation:

Notice that 17% in math terms is 17/100 = 0.17

Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:

58 times 0.17

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2 years ago

Georgie joins a gym. She pays $25 to sign up and then $15 each monthLabel the y-intercept, the slope, and your axes.

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The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.

Let X: number of months and: amount paid.

The equation of the line is
y = 15x + 25 y-intercept = 25

the slope = 15

Answer:

Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y -intercept)

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2 years ago

The data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 4141 years old. 2828

solong [7]

Answer:

37th percentile.

Step-by-step explanation:

We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.

28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.

Let us count the number of data points below and at 41.

We can see that the number of data points at and below 41 is 13.

We will use percentile formula to solve our given problem.

$\text{Percentile rank of x}=\frac{\text{Number of values below x}}{\text{Total number of data points}}\times 100$

$\text{Percentile rank of 41}=\frac{13}{36}\times 100$

$\text{Percentile rank of 41}=0.361111\times 100$

$\text{Percentile rank of 41}=36.11\approx 37$

Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.

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2 years ago

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2 years ago

QUICK! 75 POINTS !!Select all that are part of the solution set of csc(x) > 1 and over 0 ≤ x ≤ 2π.

Vladimir79 [104]

Answer:

$\frac{\pi}{4}$

$\frac{5\pi}{6}$

Step-by-step explanation:

The answer uses the unit circle and that sine and cosecant are reciprocals.

The first choice doesn't even fit the criteria that $x$ is between $0$ and $2\pi$ (inclusive of both endpoints) because of the $x=\frac{-7\pi}{6}$ .

Let's check the second choice.

$\csc(\frac{\pi}{4})=\frac{2}{\sqrt{2}} \text{ since } \sin(\frac{\pi}{4})=\frac{\sqrt{2}}{2}$ .

$\csc(\frac{\pi}{4})>1 \text{ since } \frac{2}{\sqrt{2}}>1$

$\csc(\frac{\pi}{2})=1 \text{ since } \sin(\frac{\pi}{2})=1$ which means $\csc(\frac{\pi}{2})=1$ which is not greater than 1.

So we can eliminate second choice.

Let's look at the third.

$\csc(\frac{5\pi}{6})=2 \text{ since } \sin(\frac{5\pi}{6})=\frac{1}{2}$ which means $\csc(\frac{5\pi}{6})>1$ .

$\csc(\pi)$ isn't defined because $\sin(\pi)=0$ .

So we are eliminating 3rd choice now.

Let's look at the fourth choice.

$\csc(\frac{7\pi}{6})=-2 \text{ since } \sin(\frac{7\pi}{6})=\frac{-1}{2}$ which means $\csc(\frac{7\pi}{6})$ and not greater than 1.

I was looking at the rows as if they were choices.

Let me break up my choices.

So we said $x=-\frac{7\pi}{6}$ doesn't work because it is not included in the inequality $0\le x \le 2\pi$ .

How about $x=0$ ? This leads to $\csc(0)$ which doesn't exist because $\sin(0)=0$ .

So neither of the first two choices on the first row.

Let's look at the second row again.

We said $\frac{\pi}{4}$ worked but not $\frac{\pi}{2}$

Let's look at the choices on the third row.

We said $\frac{5\pi}{6}$ worked but not $x=\pi$

Let's look at at the last choice.

We said it gave something less than 1 so this choice doesn't work.

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2 years ago

Read 2 more answers