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kow [346]
3 years ago
6

Can anybody solve this?

Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

<u>Given</u>:

The radius of the inner circle is 13 yards.

The width of the outer circle is 8 yards.

We need to determine the area of the composite figure.

<u>Radius of the composite figure:</u>

The radius of the composite figure can be determined by adding the radius of the inner circle and the width of the outer circle.

Thus, we have;

Radius=13+8

Radius=21

Thus, the radius of the composite figure is 21 yards.

<u>Area of the composite figure:</u>

The area of the composite figure can be determined using the formula,

A=\pi r^2

Substituting π = 3.14 and r = 21, we get;

A=(3.14)(21)^2

A=3.14(441)

A=1384.74

Thus, the area of the composite figure is 1384.74 square yards.

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Х<br> If two lines do not intersect, then<br> they are parallel.
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The water temperature required for a certain manufacturing process is 134°F. However, the process allows for a variation of 7°F
Y_Kistochka [10]

Answer:

The temperature that represents a smaller value would be the one with negative eighty (or -80) degrees Fahrenheit. Although it is negative, the value of 80 does not mean it has a smaller value as to 134 degrees. It is just that the difference between the absolute values of the two show that 134 degrees Fahrenheit has a bigger value.

Step-by-step explanation:

3 0
3 years ago
The area of a rectangle is expressed as x4 - 9y2. What are the possible dimensions of the rectangle?
AnnyKZ [126]

This is a stupid question.  The teacher who asked this needs to go back to school.

A = x⁴ - 9y²

That's going to be a number.  As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L.   So the correct answer is the dimensions are L by  (x⁴ - 9y²)/L.

They don't want the correct answer.  They want you to factor this expression.  We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.

We use the difference of two squares, a²-b² = (a+b)(a-b)

A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)

Answer: x²+3y  by  x²-3y

5 0
3 years ago
Which statements about these two functions are true? Select the TWO that apply. Function A is a linear function and Function B i
KengaRu [80]

Answer:

Function A is a linear function and Function B is a nonlinear function

Function A has a positive rate of change

Step-by-step explanation:

<u><em>Verify each statement</em></u>

Option 1) Function A is a linear function and Function B is a nonlinear function

The statement is True

Because

Function A

The function A represent a proportional relationship that can be expressed in the form

Find the value of k

For x=1, y=5 ----> k=\frac{5}{1}=5

For x=2, y=10 ----> k=\frac{10}{2}=5

For x=3, y=15 ----> k=\frac{15}{3}=5

so

y=5x

The graph is a straight line

therefore

Function A represent a linear function

Function B

we have

y=4x^2+2

This is a quadratic equation (vertical parabola open upwards)

The graph is a curved line

therefore

Function B represent a nonlinear function, because the graph is not a straight line

Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)

The statement is False

Because

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

y=4(0)^2+2=2

Therefore

The function B has only one y-intercept at (0,2)

Option 3) Function A has a positive rate of change.

The statement is True

Because

The rate of change of the function A is equal to the slope

The slope of the function A is m=5

Is a increasing function

As x increases the value of y increases

As x decreases the value of y decreases

Option 4) Function B has a negative rate of change

The statement is False

Because

To find the average rate of change, we divide the change in the output value by the change in the input value

we have

y=4x^2+2

Is a vertical parabola open upward

The vertex of the function B is the point (0,2)

For the domain ----> (-∞,0)

The function is decreasing ( the rate of change is negative)

For the domain ----> (0,∞)

The function is increasing ( the rate of change is positive)

4 0
3 years ago
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