The arched interior is comprised of a semi-circle and a rectangle. The diameter of the semi-circle is 20 inches. The length of the rectangle is 30 inches. What is the area of the arched interior? Use 3.14 for π.

Answers

Answer 1

Step-by-step explanation:

A semicircle is a half circle. That means a semicircle will have half of the area of a circle. You might think that means it will have half the perimeter of a circle, but that is not true.

To make a semicircle, take any diameter of the circle. Remove one half of the circle along that diameter. You have a semicircle (half of a circle).

A semicircle is half the circumference of a full circle plus the diameter of a cricle,

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d

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Related Questions

Kari plans to attend a 2-year community college. She will receive $4,500 in scholarships and grants each year, and she will earn $1,500 each year through a work study program.



Including her financial aid, what is Kari’s estimated cost per year? $

Kari’s family will contribute $3,000 each year. How much will Kari need to contribute? $

Kari has one year to save enough for her first year’s contributions. Complete each statement to show how much Kari will need to save each month based on her current savings.

If Kari currently has $0 in savings, she will need to save $
each month.

If Kari currently has $1,000 in savings, she will need to save $
each month.

If Kari currently has $2,000 in savings, she will need to save $
each month.

Answers

Answer:

Step-by-step explanation:

4 year Public University

Tuition and fees $ 8500

Room and board $ 6700

Books and supplies $1250

misc expenses $ 700

Total for 1 year

8500+6700+1250+700

= $ 17150

Total for 4 years 4* 17150 = $68600

4 year Private University

Tuition and fees $ 25100

Room and board $ 8000

Books and supplies $ 1300

misc expenses $ 750

Total for 1 year

25100+8000+1300+750

= $ 35150

Total for 4 years 4* 35150 = $ 140600

2 Year Community College

2 Year Community College

Tuition and fees $ 4400

Room and board $ 5000

Books and supplies $ 1100

misc expenses $ 800

Total for 1 year

4400+5000+1100+800

= $ 11300

Total for 2 years 2* 11300 = $ 22600

now given

kari will get $4500 in scholarships and grants yearly and $1500 yearly through work study program

so in total kari will get in financial aid = $6000 yearly

so in 2 years she will get total = 2*6000 = $12000 financial aid

kari's estimated cost per year = total fee of college for 1 year - total financial aid for 1 year

                                           = $11300 - $ 6000 = $5300

Kari's estimated cost per year = $5300

then estimated cost for two years = 2* 5300 = $10600

given Kari's family will contribute $3000 yearly

so for two years Kari will get = 2*3000 = $6000 from family

If kari has 1 year to save for 1st year's contribution then

a) kari has $0 in savings

kari needs to save for year = estimated cos per year - contribution from family per year

                                      = $5300 - $ 3000 = $2300

as kari has $0 savings so kari needs to save $2300 in 1 year

so kari needs to save an amount = 2300/12 = $191.666667 monthly

b) kari has $1000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $1000

                                          = $1300

so kari needs to save an amount of = 1300/12 = $108.3333333 monthly

c) Kari has $2000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $2000

                                          = $300

so kari needs to save an amount of = 300/12 = $25 monthly

Reflect shape A in the line y=1

Answers

Answer:

Step-by-step explanation:

1.Draw a mirrorline across y = 1 (Another way of saying that is draw a horizontal line through where y = 1)

2.For every single point of the shape, count the number of squares away that is from the mirror line on the graph, and from the mirror line go downwards by the amount of squares that you just counted from the mirrorline. Finally plot that point you reached with a cross and do the same with every point of the shape

3. Join all the cross together and there is your reflected shape.

*Extra Information*

If this was x = 1 instead of y = 1 you would reflect the shape horizontally instead of vertically (Youll see what i mean when the shape is reflected)

The new coordinates are (2, -2), (4, -2), and (2, -5) after reflection over y = 1

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

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

We have vertices of the triangle shown in the picture.

The reflection over y = 1

(x, y)-->(x, 2 - y)

(2, 4)-->(2, -2)

(4, 4)-->(4, -2)

(2, 7)-->(2, -5)

Thus, the new coordinates are (2, -2), (4, -2), and (2, -5) after reflection over y = 1

Learn more about the geometric transformation here:

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PLEASE HELP ASAP WILL GIVE BRAINLIEST Question 1 of 10
Which point lies on the line described by the equation below?
y + 4 = 4(x-3)
A. (1,-11)
B. (3,-4)
C. (1,11)
D. (0,0)
E. (-2,3)
O F. (2,9)

Answers

Answer:

(3, -4)

Step.

The coordinates of the point which lies on the equation is A ( 3 , -4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

y + 4 = 4 ( x - 3 )   be equation (1)

when x = 3 and and y = -4

Substituting the values of x and y in the equation , we get

-4 + 4 = 4 ( 3 - 3 )

0 = 4 ( 0 )

0 = 0

Therefore , the point A ( 3 , -4 ) lies in the equation

Hence , the coordinates of the point is A ( 3 , -4 )

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What is the equation of the line in slope-intercept form?
A.) y = x + 8
B.) y = x - 8
C.) y = 8x + 8
D.) y = 8x - 8

Answers

The answer is b. Because x is always 1. So your going up 1 over one each time so it’s positive x. And your starting at negative 8 which is down 8. Therefore your answer is b.

4) Does the table show a function?
Yes or no

Answers

Answer:

yes

Step-by-step explanation:

need an answer please:)

Answers

Answer:230

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST!!
WITH WORK PLZ! THANK YOU


The frame around a rectangular picture has a uniform width. The dimensions of the picture are 5 in. by 7 in. If the combined area of the picture and the frame is 80 in.2, what is the width of the frame?

Answers

24 inches hope this helps

Answer:

1.5 in

Step-by-step explanation:

Find < VXW

A.52
B.60
C.68
D.75




PLEASE HELP ME ASAP PLEASE

Answers

the answer is c because

y=60° opposite angles of a parallelogram are congruent.

? = 180-52-60 co- interior

=68°

When you combine the like terms -x and -32x,what does that simplify to?

Answers

Answer: 31x

Step-by-step explanation:

( -x + 32x )

( -1 + 32x )

= 31

What is the answer to 153÷1/4=?

Answers

Answer: 38.25

Step-by-step explanation: You divide the whole number by the denominator in the fraction.

153/4 = 38.25

Answer:

612

Step-by-step explanation:

you can always use a calculator if you need help with division :  )

At Fireside Bookshop, you buy a book for $30.00. If the sales tax is 9.5%, what is the total price you pay for the book?

Answers

Answer:

$32.85

Step-by-step explanation: 9.5% of 30 is 2.85

30 + 2.85 = 32.85

What is the volume, in cubic inches, of one cube with an edge length of 1/3inch?

Answers

Answer:

1/27

Step-by-step explanation:

what is the surface area of this design

Answers

The answer is 192 inches it’s all about the adding and multiply

Answer: 197.

Step-by-step explanation:

REALLY NEED HELP
Graph the line x=4.

Answers

Answer:

X=4 would be right above the 4 on the x axis.

Step-by-step explanation:

So you see where it says x? Graph it on the 4 on that line.

Answer:

Graph it on the 4 on line X

Leo is buying a shirt for his grandfather for his upcoming birthday. The shirt cost $34.50 and a 6.5% sales tax is applied. How much is the total cost of the shirt?

Answer choices
A. $32.26
B. $36.82
C.36.74
D.35.00

Answers

The answer would be c

Pls help me with #1 and #2 ASAP

Answers

Number 1 is 3.14 cm and 2 is 6.28 cm

Miguel measures two sides of a sail: 15 feet and 8 feet. Which could be the measurement of the third side?

A. 6 feet B. 10 feet C. 23 feet D. 30 feet

Answers

Answer:

10

Step-by-step explanation:

6 feet and 10 feet are the possible measurement of the  third side.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine the possible measurement of the third side of the sail, we can use the triangle inequality theorem,

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's check the answer choices using the triangle inequality theorem:

A. 15 + 8 > 6

23 > 6

This is true, so 6 feet could be a possible measurement of the third side.

B. 15 + 8 > 10

23 > 10

This is true, so 10 feet could be a possible measurement of the third side.

C. 15+8 > 23

23=23

This is false, so 23 feet is not possible measurement of the third sid

D. 15+8 > 30

23>30

This is false, so 30 feet is not possible measurement of the third side

Hence, 6 feet and 10 feet are the possible measurement of the  third side.

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A total of 250 households were surveyed. What fraction of the total number of households have three televisions?

A. 23/100
B. 13/100
C. 1/50
D. 6/25

Answers

I don’t think that is enough information

Find the volume of the sphere. The spheres dimension is 1. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth

Answers

3 point, 14, and round your final answer to the nearest hundredth

Answer:

The answer is 4.19

Step-by-step explanation:

this is the answer because i just did this question on khan academy and this is just the correct answer ok thanks

Como se calcula la medida de la sircunferencia si conocen la medida del diámetro

Answers

Para encontrar la medida de la circunferencia se aplica la ecuación P = π*D.

Explicación.

El perímetro es la medida total de todos los lados que pueda tener una figura geométrica, además se tiene que tener en cuenta que es una magnitud fundamental de los polígonos.

Para una circunferencia el perímetro se encuentra multiplicando el diámetro y el número π (pi), como se muestra a continuación:

P = π*D

Dónde:

P es el perímetro.

D es el diámetro

The contractor estimated the job would take about 12 weeks to
complete. It really took 20 weeks. What is the percent error?

Answers

It will be .6 because u divide

PLEASE HELP 17 POINTS!
1. A slice is being made to a cube. For each slice—
• Describe the two-dimensional figure resulting from the described slice. Use the specific name when possible.
• Determine whether a different slice can produce a congruent two-dimensional figure. If so, describe or sketch an example of the slice. If not, explain why not.

(a) a slice parallel to the base
(b) a slice that contains and
(c) a slice that contains and vertex F

Answers

(a.) A slice parallel to the base would result in two rectangular prisms, as opposed to a cube now. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle.

(b) A slice that contains and AE and DH will make a slanted cube, meaning it will turn into a cubic pyramid.

(c.) A slice that will contain and vertex F will make the cut the figure in half going slanted. They will technically be congruent, although there is no name for this figure.

A line has ______ rotational symmetry

Answers

Answer:

two-fold

Step-by-step explanation:

Answer:

Two Fold rotational symmetry

Please help I need this answer

Answers

Answer:

This is your answer

Step-by-step explanation:

(For the second step I multiplied 6 and 4)

In triangle RST, the measure of angle T=90°, the measure of angle R=67°, and TR = 94 feet. What is the length of RS to the nearest tenth of a foot?

Answers

I’m having trouble with these types

Answer:

The answer is 240.6 feet

1. At what price must an article which cost $450 be sold in order to make a profit
of 16.5% on cost?​

Answers

Answer:

$450.00 x 16.5% = $74.25

$450.00 + 74.25 = $524.25

Answer $524.25

Step-by-step explanation:

Henry has 96 marbles. He is packing containers with 8 marbles in each container. How many containers, c, does Henry need to pack all the marbles?
96 − c = 8
96 = 8 x c
c = 96 + 8
8 ÷ c = 96

Answers

8c= 96

so 96= 8xC

because we know there’s 96 total, and only 8 per c , this would be the setup

I need help solving |-5y+9|= 14

Answers

Answer:

-5 turns into 5 and the y is probably 1, so 5+9 is equal to 14.

Step-by-step explanation:

Solve for
9.
39 + 4 + 9 = -14
9 = [?]

Answers

Answer:

9=-57

Step-by-step explanation:

39+4

43

43+14

57

So 39+4+(-57)=-14

100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

D= (-2, 2), E = (-1, -2), F = (-4, -1)

3.

As per definition, midsegment is parallel to a side.

Parallel lines have same slope.

Find slopes of FD and CB and compare.

m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2As we see the slopes are same

Find the slopes of FE and AB and compare.

m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3Slopes are same

Find the slopes of DE and AC and compare.

m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4Slopes are same

4.

As per definition, midsegment is half the parallel side.

We'll show that FD = 1/2CB

FD = [tex]\sqrt{(2+1)^2+(-2+4)^2}[/tex] = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{13}[/tex]CB = [tex]\sqrt{(1 + 5)^2+(1+3)^2}[/tex] = [tex]\sqrt{6^2+4^2}[/tex] = 2[tex]\sqrt{13}[/tex]As we see FD = 1/2CB

FE = 1/2AB

FE = [tex]\sqrt{(-4+1)^2+(-1+2)^2}[/tex] = [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{10}[/tex]AB = [tex]\sqrt{(-5 -1)^2+(3-1)^2}[/tex] = [tex]\sqrt{6^2+2^2}[/tex] = 2[tex]\sqrt{10}[/tex]As we see FE = 1/2AB

DE = 1/2AC

DE = [tex]\sqrt{(-2+1)^2+(2+2)^2}[/tex] = [tex]\sqrt{1^2+4^2}[/tex] = [tex]\sqrt{17}[/tex]AC = [tex]\sqrt{(-5 +3)^2+(3+5)^2}[/tex] = [tex]\sqrt{2^2+8^2}[/tex] = 2[tex]\sqrt{17}[/tex]As we see DE = 1/2AC

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