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Kisachek [45]
4 years ago
6

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics
1 answer:
sattari [20]4 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{14\sqrt{3} }{x} = \frac{\sqrt{3} }{2} ( cross- multiply )

x \sqrt{3} = 28\sqrt{3} ( divide both sides by \sqrt{3} )

x = 28

-----------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{14\sqrt{3} }{y} = \sqrt{3} ( multiply both sides by y )

14\sqrt{3} = y \sqrt{3} ( divide both sides by \sqrt{3} )

y = 14

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What is the simple interest earned on $3,672 at 4.5% for three years?
olasank [31]

Answer: interest at the end of 3 years is $495.72

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 3 years

P = $3,672

R = 4.5%

Therefore

I = (3672 × 4.5 × 3)/100

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3 years ago
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Step-by-step explanation:

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3 years ago
the double number line shows that in 3 seconds an ostrich can run 63 meters. how far can the ostrich run in 5 seconds
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Step-by-step explanation:

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3 years ago
Use the Law of Cosines to find the missing angle. In triangle JKL, j=3in., k=4in., and l=2.89., find mJ
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Using the values of k,j and l, we can write:

cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)}  \\  \\ &#10;cos(J)= 0.664 \\  \\ &#10;J= cos^{-1}(0.664) \\  \\ &#10;J=48.39

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So option B gives the correct answer
8 0
3 years ago
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7 d^2 +10 when d = 3
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Step-by-step explanation:

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