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3 years ago

A store manager ordered 402 baseball caps and 122 ski caps estimate the total number of caps the manager ordered

Mathematics

1 answer:

sashaice [31]3 years ago

7 0

We don't need to estimate!
We can say exactly how many he ordered:
402+122=525 ordered caps

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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

3 years ago

The perimeter of a rectangle is 42 feet the length is 5 feet longer than the width what are the dimensions

Kruka [31]

18.5 x 23.5 is the answer

7 0

3 years ago

A:1/360 B:1/90 C:1/180 D:1/100

valkas [14]

the answer is 1/360.

$\frac{1}{1} = 360degrees \\ x= 1degree$

cross multiplication and u get the answer

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3 years ago

Please help! I will mark the 1st answer as brainiest.

uranmaximum [27]

Answer:

256 m^2

Step-by-step explanation:

area = b x h

16 x 16 = 256

both combined would be 512

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2 years ago

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sineoko [7]

Answer:

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Step-by-step explanation:

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2 years ago