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3 years ago

Describe the solutions for this inequality.

Mathematics

1 answer:

Olegator [25]3 years ago

3 0

D) i think

, all values of x that are greater than equal to 1
7
8

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Micah and his brother found some cash at a bus stop.They split the money evenly, each getting $ 16. How much money did they find

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Answer: 32 dollars

Step-by-step explanation:

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3 years ago

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

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

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3 years ago

Juan bought fruit from the grocery store. The variables below define his purchase. Juan’s bananas cost half as much as apples. W

mixas84 [53]

Answer:

$B = \frac{1}{2}A$

$A = 2B$

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

$B = \frac{1}{2} * A$

$B = \frac{1}{2}A$

Multiply both sides by 2

$2*B = \frac{1}{2}A*2$

$2B = A$

$A = 2B$

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3 years ago