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3 years ago

what number must be added to both numerator and denominator of 16/21 to make the resulting fraction equal to 5/6?

1 answer:

4 0

9 because 16 plus 9 is 25 and 21 plus 9 is 30. now you have 25/30
Now you have to simplify:

25 divided 5 is 5 and 30 divided 5 is 6. So 5/6

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Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.

KengaRu [80]

We have the following expression

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})$

This is equivalent to

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})$

Since

$\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi$

we have that

$4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})$

Therefore, the answer is the second option from top to bottom.

3 0

1 year ago

Please helpppp i don’t understand

atroni [7]

Answer:

Think the answer will just be 5

Step-by-step explanation:

I don't use step by step so yeah

5 0

2 years ago

If 7 people each eat 3/8 pound of potato salad, how much potato salad will be eaten in all?

Nikitich [7]

1 people eat 3/8 pound of potato salad lets reoresent it：
x=3/8
Lets say n is the value of how many people ate with 7 people
7x=n
now substitute
7x=n
7(3/8)=n
21/8=n
n=2 5/8

7 0

3 years ago

Three fourths of a page are read in 2 minutes how many are read in one minute?

Dmitrij [34]

Answer:

3/8 of a page

Step-by-step explanation:

3/4=2 minutes

3/8 pages in a minute

You take 3/4 and divide by 2 to get 3/8

7 0

3 years ago

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

andre [41]

Answer:

7 feet

Step-by-step explanation:

Pythagorean theorem

sqrt(4.5^2 + 5.3^2) = hypotenuse

sqrt(48.34) = hypotenuse

6.95269732 = hypotenuse

round to nearest tenth

7 feet = the length of the hypotenuse

5 0

2 years ago