3 years ago

What is the location of the point on the number line that is 1/4 of the way from

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

answer is 31

Step-by-step explanation:

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3 years ago

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3 years ago

Find the area of the regular polygon. Round to the nearest tenth.

mojhsa [17]

Given:

Side length = 12 in

To find:

The area of the regular polygon.

Solution:

Number of sides (n) = 6

Let us find the apothem using formula:

$$a=\frac{s}{2 \tan \left(\frac{180^\circ}{n}\right)}$

where s is side length and n is number of sides.

$$a=\frac{12}{2 \tan \left(\frac{180^\circ}{6}\right)}$

$$a=\frac{6}{ \tan (30^\circ)}$

$$a=\frac{6}{ \frac{1}{\sqrt{3} }}$

$$a=6\sqrt{3}$

Area of the regular polygon:

$A=\frac{1}{2}(\text { Perimeter })(\text { apothem })$

$$A=\frac{1}{2}(6 \times 12)(6\sqrt{3} )$

$$A=\frac{1}{2}(72)(6\sqrt{3} )$

$A=216 \sqrt{3}$

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The area of the regular polygon is 374.1 in².

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4 years ago

Determine if the following is true: if sin^2x cos^2x=1, then sinx+cosx=1

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Answer:

true

Step-by-step explanation:

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3 years ago

7800 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 29 years, to th

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Answer:

Year 29 $2,956.63 Total Interest $40,643.25 Balance $48,443.25

Step-by-step explanation:

Base amount: $7,800.00

Interest Rate: 6.5% (yearly)

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Calculation period: 29 years

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4 years ago