Find the area of the figure below. below. 24 yd 24 yd I 24 yd 40 yd 576

Answer:

Step-by-step explanation:

To get theta, we will apply the formula for calculating the length of an arc as shown;

Length of an arc = theta/360 * 2πr

theta is the central angle (required)

r is the radius of the circle

Given r = 9 inches and length of the arc PQ = 6π in

Substituting this given values into the formula to get the central angle theta;

6π = theta/360 * 2πr

Dividing both sides by 2πr

theta/360 = 6π/2πr

theta/360 = 3/r

theta/360 = 3/9

theta/360 = 1/3

cross multiplying;

3*theta = 360

theta = 360/3

theta = 120°

Since 180° = π rad

120° = x

x = 120π/180

x = 2π/3 rad

Hence the measure of the central angle in radians is 2π/3 rad

The area of the Shaded region, when the frame is 1 unit wide, is 20 square units.

The area of the shaded region when one rectangle is framed within another and the frame has a width of 1 unit, we need to calculate the difference between the areas of the outer rectangle and the inner rectangle.

the dimensions of the outer rectangle as length and width, and the dimensions of the inner rectangle as length' and width'. Based on the information provided, the length and width of the outer rectangle are 5 and 7 units, respectively.

The dimensions of the inner rectangle can be found by subtracting twice the width of the frame (1 unit) from the dimensions of the outer rectangle:

Length' = length - 2 * frame width = 5 - 2 * 1 = 3 units

Width' = width - 2 * frame width = 7 - 2 * 1 = 5 units

Now we can calculate the areas of the outer and inner rectangles:

Area of the outer rectangle = length * width = 5 * 7 = 35 square units

Area of the inner rectangle = length' * width' = 3 * 5 = 15 square units

Finally, to find the area of the shaded region, we subtract the area of the inner rectangle from the area of the outer rectangle:

Area of shaded region = Area of outer rectangle - Area of inner rectangle = 35 - 15 = 20 square units

Therefore, the area of the shaded region, when the frame is 1 unit wide, is 20 square units.

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Answer:

\(P(x) = x^{2} -4x -4\\\\P(x=-3) = (-3)^2 - (4*-3) -4\\\\P(x=-3) = 9 + 12 -4 =17\)

The latitude of 40.28882° in degrees, minutes, and seconds is 40°17'19.75".

Since  40.28882° =  40° + 0.28882°, we convert the decimal part to minutes.

Since 1° = 60', then

0.28882° = 0.28882° × 60'/1°

0.28882° = 17.3292'

Since 17.3929' = 17' + 0.3929', we convert the decimal part to seconds.

Since 1' = 60'', then

0.3929' = 0.3929'  × 60"/1'

0.3929' = 19.752"

≅ 19.75" to the nearest hundredth of a second.

So, 40.28882° = 40° + 0.28882°

= 40° + 17' + 0.3929'

= 40° + 17' + 19.75"

= 40°17'19.75"

So, the latitude of 40.28882° in degrees, minutes, and seconds is 40°17'19.75".

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Answer:

1,125 divided by 75 = 15 is your answer.

.5

Step-by-step explanation:

5 divided by 10 is 0.5

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

Let's put this function into slope-intercept form.

y = mx + b

where m is the slope

and b is the y-intercept

We know the y intercept is -3 since f(0) = -3

Thus, b = -3

To find the slope, use the equation m = (y1 - y2) / (x1 - x2)

x1 = 0

y1 = -3

x2 = 7

y2 = 11

Note: these values came from the given information

m = (-3 - 11) / (0 - 7)

= (-14) / (-7)

= 2

m = 2

Plug the values of m and b into y=mx + b

y = 2x - 3

That's your answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer:

Question 1: the angle of y is the same as 49 degrees.

So, y = 49 degrees.

y + x = straight line

=> Straight line = 180 degrees

=> 49 + x = 180

=> 49 - 49 + x = 180 - 49

=> x = 131

Answer to Question 1:

x = 131 degrees

y = 49 degrees

Question 2: Angle x is  the same as 119 degrees

x + y = straight line

=> Straight line = 180 degrees

=> 119 + y = 180

=> 119 - 119 + y = 180 - 119

=> y = 61

y + z = straight line

=> Straight line = 180 degrees

=> 61 + z = 180

=> 61 - 61 + z = 180 - 61

=> z = 119

Answer to Question 2:

x = 119 degrees

y = 61 degrees

z = 119 degrees

Answer:

Its 64 cm

Step-by-step explanation:

Answer: On Tuesday and Thursday

Step-by-step explanation:

On Tuesday, Mrs. Smith rode her favorite horse for 1 9/15 miles. Taking it to its simplest form by dividing it by 3 would yield a mixed fraction of 1 3/5 which is the same as the distance that the horse was ridden on Thursday.

Another method is to convert them back into their original improper fractions.

Tuesday;                                                              Thursday

= 1 9/15                                                                 = 1 3/5

= (15 * 1 + 9) / 15                                                   = (5 * 1 + 3)/5

= 24/15                                                                 = 8/5

= 8/5

Notice how again they are the same at their simplest forms.

Answer:

Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3≤ x = graph 6

-3 > x = graph 3

x≥ 3 = graph 2

x ≤ 3 = graph 4

3 > x = graph 1

x > 3 = graph 5

the closed circles means greater/less than or equal to

the open circle means greater/less than

the direction of the arrow tells you if the number is greater than x or less than x

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

\(\sqrt{2395.5}\) = 48.938737213 = 48.9

Step-by-step explanation:

1597(2/5)= 3992.5(1-2/5)= 3992.5(1-0.4)= 3992.5(0.6)= 2395.5

\(\sqrt{2395.5}\) = 48.938737213 = 48.9

It will take Omari 7 months to pay off the computer.

What is a percentage?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) besides the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

To find the amount of the down payment, multiply the price of the computer by the down payment percentage:

down payment = $1,099 * 20% = $219.80

The remaining balance on the computer after the down payment is:

remaining balance = $1,099 - $219.80 = $879.20

To find the total number of months it will take Omari to pay off the computer, divide the remaining balance by the monthly payment:

total months = $879.20 / $144/month = 6.1 months

Since it is not possible to have a fraction of a month.

Hence, it will take Omari 7 months to pay off the computer.

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The equation for the g(x) is g(x) = -3f(x) after applying the transformation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a graph of a function shown in the picture.

From the graph:

When, x=0, y=3

The graph f(x) is reflected over the x-axis and stretched upward.

The transformation can be applied:

g(x) = -3f(x)

Thus, the equation for the g(x) is g(x) = -3f(x) after applying the transformation.

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The slope of the graph changes from -3 to 3 and the y-intercept changes from -2 to -4.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given equations are f(x)= -3x-2 to f(x)=3x-4.

The slope of the equation changes from -3 to 3 which is shown in the graph similarly the y-intercept of the graph changes from -2 to -4.

The graph of the two lines f(x)= -3x-2 and f(x)=3x-4 is attached with the answer below.

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Step-by-step explanation:

1. its either 0 or 1/4 cause cause each pound is $3 and he had less then that.

2. 3 cause its either u count by 3 till u get to 11 or below it

The answers to both subparts using mathematical operations are shown:

(A) Strawberries at $1.00:

Strawberries at $1.00: 0.33 pounds

(B)  Strawberries for $11.00:

Strawberries at $11.00: 3.67 pounds

Therefore, the answer to both subparts using mathematical operations are shown:

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3 pounds because strawberries cost $3.00 per pound.What is cost? A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.What connection exists between price and quality?Regardless matter whether the relationship is positive [higher costs are linked with higher quality] or negative [higher quality is associated with lower costs], the majority of research have concluded that the relationship between cost and quality is minimal to moderate.Given: Cost of Strawberries per pound = $3. 00a. How many pounds of strawberries can you buy for $1.00?Answer: 0 because the cost of per pound strawberries is $3.00So, he can not but any pound at $1.00but he can but 1/4 pound as the cost given b. How many pounds of strawberries can you buy for $11.00?Therefore, 3 pounds because strawberries cost $3.00 per pound.To learn more about : cost calculationRef: https://brainly.com/question/17215284#SPJ2

Answer:

Third one

Step-by-step explanation:

y-1-5/(y+3)=[y(y+3)-1(y+3)-5]/y+3

=(y^2+3y-y-3-5)/y+3

=(y^2+2y-8)/y+3

Answer:

The answer is the third one.

Step-by-step explanation:

:)

It should be noted that the number of cupcakes that Cadence bake on Monday is 21 cupcakes.

It should be noted that Cadence baked 45 cupcakes on Tuesday and this was 3 more than twice the number of cupcakes she baked on Monday

2Let the number of cakes on Monday = x

Therefore, the expression will be:

(2 × x) + 3 = 45

2x + 3 = 45

Collect like terms

2x = 45 - 3.

2x = 42

Divide

x = 42 / 2

x = 21

Therefore, it should be noted that the number of cupcakes that Cadence bake on Monday is 21 cupcakes.

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The smallest number of students who go to one of these clubs is 21.

A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).

Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."

Therefore, the smallest number of students who go to one of these clubs is 21.

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Answer:

x=12

Step-by-step explanation:

cause then when u add them it's bigger than 17

From the p-value of the test, it is found that the conclusion is:

At the null hypothesis, it is tested if there is no difference between the mean weight loss of men and women, that is:

\(H_0: \mu_m - \mu_w = 0\)

At the alternative hypothesis, it is tested if there is difference, that is:

\(H_1: \mu_m - \mu_w \neq 0\)

The p-value is of 0.03 < 0.05, hence the null hypothesis is rejected, and it is found that there is significant evidence to conclude that there is a difference.

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Answer:

There is sufficient evidence that there is a difference in mean weight loss between men and women.

Step-by-step explanation:

got it right

Answer:

x = 134°

Step-by-step explanation:

Let

\(\angle A=64^{\circ}\\\\\angle B =70^{\circ}\)

We need to find the value of x.

We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,

\(x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}\)

Hence, the value of x is 134°

Answer:

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Step-by-step explanation:

Slope is defined as the steepness of a line.

Slope is denoted by m and the formula for calculating slope is:

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Here

(x1,y1) and (x2,y2) are coordinates of the points through which the line passes

Now,

For (2, 4) and (5, 1):

\(m = \frac{1-4}{5-2} = \frac{-3}{3} =-1\)

NEGATIVE

For (3,5) and (-1,2)

\(m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}\)

POSITIVE

For (-7, 8) and (-7,0)

\(m = \frac{0-8}{-7+7} = \frac{-8}{0}\)

UNDEFINED

For (6.-3) and (4, -3)

\(m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0\)

ZERO

Hence,

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero