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Anit [1.1K]
3 years ago
13

Find the value of each variable

Mathematics
2 answers:
Neko [114]3 years ago
6 0

x = 15  \sqrt{2}

y = 15  \sqrt{2}

klio [65]3 years ago
5 0

Answer:

x = y = 15\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{\sqrt{2} }{2} , then

sin45° = \frac{opposite}{hypotenuse} = \frac{x}{30} ( multiply both sides by 30 )

30 × sin45° = x , then

x = 30 × \frac{\sqrt{2} }{2} = 15\sqrt{2}

The triangle is a right isosceles triangle thus the legs are congruent, then

x = y = 15\sqrt{2}

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Which expression has exactly three terms? Select all the expressions that apply.
irga5000 [103]

The answer is expressions D, E, and G.

In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.

Options A and B only have 1 term, an x or y³, so these are incorrect.

Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.

D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.

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I hope this helps!

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Olivia ordered 24 cupcakes and a layer cake costs 16$ and the total cost of the order was 52$ what was the price of each cupcake
Tju [1.3M]

Let x be the price of a cupcake. There are 24 cupcakes so it will be 24x. Solution: 24x+16=52 24x=52-16 24x=36 Divide both sides by 24 X=1.5. The price of each cupcake is 1.5$

8 0
3 years ago
Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay
Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

\frac{26,000-7,352.24}{12}

Now all we have to do is solve!

\frac{26,000-7,352.24}{12}

  • Subtract.

\frac{18,647.76}{12}

  • Divide.

1,553.98

Answer:

Latoya will get paid $1,553.98 with each paycheck.

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3 years ago
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