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3 years ago

What's the exact value of tan 15°?

Mathematics

1 answer:

marusya05 [52]3 years ago

3 0

Answer:

The answer is 0.267949192

Step-by-step explanation:

I hope that is enough numbers.

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

4 years ago

Max went to the store and bought 22 apples. He bought twice as many red apples as he did green, and he bought one-third many yel

katrin [286]

Let the number of green apples bought be x

Green apples = x

Red apples = 2x

Yellow apples = 1/3 (2x) = 2/3 x

Total = 22 apples

x + 2x + 2/3 x = 22

11/3 x = 22

11x = 66

x = 6

Green apples = x = 6

Red apples = 2x = 2(6) = 12

Yellow apples = 2/3 (2x) = 2/3 (6) = 4

Answer: Green = 6, Red = 12, Yellow = 4

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3 years ago

Barbara can walk 3,200 meters in 24 meters. Mavis can walk 11,808 feet in 24 minutes. Who walks faster rate of speed? Explain th

grin007 [14]

I used a converter so i put 3200 meters into feet which was 10,498.69 and i rounded it to 10,498 and then i subtract 10,498 feet from 11,808 feet and got 1,310 feet as the answer

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3 years ago

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Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of \$10$10dollar

lesya692 [45]

So to get the answer you do 100100100+303030-101010 which = 100302120 x 10 (the amount she/he gets for each subscriber) which is the amount of money Kiersten earned.

Hope this helped

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4 years ago

To the nearest cent, evaluate $73.50 * (7.5% + 1.25%).

Gelneren [198K]

The answer is $6.43. Hope this helps

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3 years ago

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