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3 years ago

Which of the following fractions are equivalent to 15/21? Select all that apply.

Mathematics

2 answers:

nikklg [1K]3 years ago

4 0

Answer:

A and B

Step-by-step explanation:

There is an infinity number of equivalent fractions to 15/21.

To find an equivalent fraction to 15/21 , or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

$\frac{15/3}{21/3} =\frac{5}{7}$

By multiplying the original fraction by 2, we get:

$\frac{15*2}{21*2} =\frac{30}{42}$

Here is a list of the equivalent fractions of 15/21

5/7, 10/14, 15/21, 20/28, 25/35, 30/42, 35/49, 40/56, 45/63, 50/70, 55/77, 60/84, 65/91, 70/98, 75/105, 80/112, 85/119, 90/126, 95/133, 100/140 ...

Answer:

Therefore, the answer is <u>A</u> and <u>B</u>.

scoundrel [369]3 years ago

3 0

Answer:

A. 5/7
B. 30/42

Step-by-step explanation:

I just used an equivalent fractions calculator.
Please correct me if I'm wrong :)

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Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tent

nalin [4]

Answer:

The last one $(x=11.3, y=8)$ .

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

$sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}$

In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.

2) In this case, we are given a length and an angle to find x and y.

Let's find x first. To find x we need to use $sin()=\frac{opposite}{hypotenuse}$ .

$sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31$

Find y.

Notice that, we can use the Pythagorean Theorem $(c^2=a^2+b^2)$ to find y.

$c^2=a^2+b^2$

$11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99$

3) Round them off to the nearest tenth.

$x=11.31\\x=11.3$

$y=7.99\\y=8$

Therefore, the correct choice is the last one $(x=11.3, y=8)$ .

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2 years ago

Find the value of b in the graph of y=3x+b if it is known that the graph goes through the point: N(0,5)

tino4ka555 [31]

Answer:

I believe b is 5.

Step-by-step explanation:

When you place the points in the values, you get 5=3(0)+b. When you simplify it, you get 5=b. I really hope this is correct, I apologize if it isn't! I hope this helps! :)

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stiv31 [10]

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Afina-wow [57]

Answer:

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