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2 years ago

5

Find the value of both variables.

1 answer:

ella [17]2 years ago

8 0

$\cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2}$

I hope I helped you ^_^

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Jordie is getting balloons for his aunt's birthday party. He wants each balloon string to be 12 feet long. At the party store, s

geniusboy [140]

Answer:

216 yards

Step-by-step explanation:

You'd multiply the amount of string for each balloon (12 feet) by the 54 balloons he needs, and you get 648 feet. There are 3 feet in a yard so then you would divide 648 by 3 and get 216 yards

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2 years ago

Eliza’s backpack weighs 18 7/9 pounds with her math book in it. Without her math book, her backpack weighs 14 ⅞ pounds. How much

UNO [17]

Make each fraction have a like denominator

7/9 * 8/8= 56/ 72

7/8 * 9/9 = 63/72

18 + 14 + (56+63)/72

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32 + 1 + 47/72

33 and 47/72

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3 years ago

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What is the value of v in the equation 3(2v + 1)=-15(5v + 16)

Darina [25.2K]

Answer:

v = -3

Step-by-step explanation:

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3 years ago

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If Sarah invests $5,000 into a fund that earns 6% interest compounded annually, how long will it take for her investment to grow

yarga [219]

Answer:

40

Step-by-step explanation:

so next year her money would be 6% more so:

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So we can say after n years she will have :

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6 0

2 years ago

21. Brian wants to purchase a piece of fabric

ella [17]

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

Choice A is $4\frac{3}{4}$ feet long

Let us convert feet to inches

$4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet$

Now convert to inches

We know that,

1 feet = 12 inches

$\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice B is $4\frac{1}{2}$ feet long

$4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet$

Now convert to inches

$\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice C is $4\frac{1}{3}$ feet long

$4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet$

Now convert to inches

$\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches$

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

8 0

2 years ago