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2 years ago

9

Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake

. Which statements are true about the number of cups of sugar Finn needs? Select each correct answer.

1 answer:

sergey [27]2 years ago

7 0

Can you please attach the options?

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Find the unknown side length. Write your answer in simplest radical form.

Eva8 [605]

Answer: 1. x= 20 units, 2. x= $5\sqrt{3}$ units 3. x= $4\sqrt{2}$ units.

Step-by-step explanation:

In a right triangle,

$Hypotenuse^2= Perpendicular^2+Base^2$ (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

$\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20$

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

$\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}$

3. Hypotenuse = 9 , Base = x, Perpendicular =7

$\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}$

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2 years ago

Could negative two be used as a base to rewrite 32? 64?

Nataly [62]

$32=2^5-NO\ because\ (-2)^5=-32\\\\64=2^6-YES\ because\ (-2)^6=64$

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2 years ago

Multiply.<br><br><br><br> –58.7 • 13<br><br><br> Divide.<br><br> -6 ÷ 1/4

Vitek1552 [10]

The first one is -763.1 and the second one is -24

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3 years ago

Do you read Webtoon? if so, why don't you check out my Friend's Webtoon.

nignag [31]

Answer:

OMG

Step-by-step explanation:

I hadn't read WebToon in a loooooong time.

BUT I"LL LOG IN AND READ IT;)

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3 years ago

it snowed 1/4 inch every hour for 4 hours then it's no 1/2 inch every hour for 6 hours what was the total snowfall that was meas

ioda

Answer:

Step-by-step explanation:

4 hours × (¼ in)/hour = 1 in

6 hours × (½ in)/hour = 3 in

Total snowfall over ten hours = 1 + 3 = 4 in

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2 years ago