3 years ago

Determine the value of in, in each of the following cases, where n represents all positive integer values.

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

Answer:

I need more info.

Step-by-step explanation:

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Given: △FKL, FK=a, m∠F=45°, m∠L=30° Find: FL

drek231 [11]

The best way to do this is to draw a picture of ΔFKL and include line segment KM that is perpendicular to FL. This creates ΔFKM which is a 45°-45°-90° triangle and ΔLKM which is a 30°-60°-90° triangle.

Find the lengths of FM and ML. Then, FM + ML = FL

FM

ΔFKM (45°-45°-90°): FK is the hypotenuse so FM = $\frac{a}{\sqrt{2}} = \frac{a\sqrt{2} }{2}$

ML

ΔLKM (30°-60°-90°): from ΔFKM, we know that KM = $\frac{a\sqrt{2} }{2}$ , so KL = $\frac{a}{\sqrt{6}} = \frac{a\sqrt{6} }{6}$

FM + ML = FL

$(\frac{3}{3})\frac{a\sqrt{2} }{2} + \frac{a\sqrt{6} }{6}$

= $\frac{3a\sqrt{2} + a\sqrt{6} }{6}$

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3 years ago

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If 60 is increased by 90%, what is the new amount?

balu736 [363]

Answer:

114

Step-by-step explanation:

1.14 x 10²

pls mark me as brailiest if it is correct and learn well

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1 year ago

Emily has $300 and sarah has $325. Write an inequality to compare the two amounts of money.

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3 years ago

Juan is going to flip a coin 2 times. What is the fractional probability that it will be two heads

sertanlavr [38]

Answer:

The fractional probability of getting 2 heads is 1/4.

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3 years ago

Caroline rolls a fair dice 480 times. How many times would Caroline expect to roll a six?

Gnom [1K]

A fair die has 6 sides so a 1/6 chance for each number
So divide 480/6= 80
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3 years ago