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slamgirl [31]
3 years ago
6

Which ordered pair represents the translation of R to S?

Mathematics
1 answer:
shtirl [24]3 years ago
8 0
I believe it is -3, 5
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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
The area of a square garden is shown. how long is each side of the garden?
andrey2020 [161]

I believe the answer is 11ft

5 0
3 years ago
-12+8d &lt;52 <br> Please answer
Radda [10]

Answer:

d < 8

Step-by-step explanation:

Given

- 12 + 8d < 52 ( add 12 to both sides )

8d < 64 ( divide both sides by 8 )

d < 8

6 0
3 years ago
Read 2 more answers
The appliance store where the Scott family shops offers a 7% discount for paying cash. The Scott
Nostrana [21]

Answer:

7% = $34

100% =  100/7 X 34 = 3400/7 = $ 485.71  OR  $ 486  ANSWER.

Step-by-step explanation:

100% =  100/7 X 34 = 3400/7 = $ 485.71  OR  $ 486  ANSWER.

8 0
3 years ago
Do ratios 15:5 and 6:2 form a proportion?
mrs_skeptik [129]

For two ratios to form a proportion they have to be equal.

To see if two ratios are equal we express them in their simplest form.

In this case we notice that in the first ratio both numbers are multiples of five, then:

15\colon5=3\colon1

In the second case we notice that both numbers are multiples of 2, then:

6\colon2=3\colon1

Since both ratios can be simplified to the same final ratio, they form a proportion.

7 0
1 year ago
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