How can you decompose the composite figure to determine its area? as a pentagon and four semicircles as two rectangles and four circles as a square and four semicircles as two triangles and four circles

Answers

Answer 1

Answer: as a square and four semicircles

Step-by-step explanation:

Answer 2

The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to Find the Area of a Composite Figure:

To find the area of a composite figure, the first thing to do is to identify the individual shapes that make up the figure, then find the area of each shape before adding all the areas together.

For a composite figure that is comprised of a square and 4 semicircles, the composite figure would be decomposed into: a square and four semicircles.

Hence, The composite shape area can be found by first decomposing the figure as: a square and four semicircles.

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Related Questions

find the area figer


a 14

b 50

c 60

d 64

Answers

Answer:

64 cm²

Right corner rectangle:

Length * Width2 * 714 cm²

Bottom rectangle:

Length * Width10 * 550 cm²

Together:

50 cm² + 14 cm²64 cm²

Answer:

d.  64 cm²

Step-by-step explanation:

Separate the shape into two rectangles (see attached image).

Formula

Area of a rectangle = width × length

Rectangle 1

Area = 2 × 12

        = 24 cm²

Rectangle 2

Area = 5 × (10 - 2)

        = 5 × 8

        = 40 cm²

Total Area

Total area = Area of Rectangle 1 + Area of Rectangle 2

                  = 24 + 40

                  = 64 cm²

651 x 5 porfavor ayudenme SIN CALCULADORA - please help me NO CALCULATOR

Answers

Answer:

3,255

Step-by-step explanation:

,

An object moves at a speed of 20 yards per second.
What is the object's speed, in feet per second?
(1 yard = 3 feet)
A) 17
B) 23
C) 50
D) 60

Answers

Let's see

[tex]\\ \rm\Rrightarrow speed=20yd/s[/tex]

See unit given to change is ft/sSo only numerator we need to change

[tex]\\ \rm\Rrightarrow Speed=20(3)=60ft/s[/tex]

Option D

rachel bought an equal number of bowls and plates for$96. each plate cost $2 and each bowl cost $4 more than each plate. how much did she spend on all the plates

Answers

Answer:

$24

Step-by-step explanation:

Cost per plate: $2

Cost per Bowl: $2 + $4 = $6

Cost of 1 Plate and 1 Bowl: $2 + $6 = $8

Total cost of $96 divided by Cost of 1 Plate and 1 Bowl $8 = 12 sets of 1 Plate and 1 Bowl

12 plates x $2 Cost per Plate = $24

Answer:

$24

Step-by-step explanation:

Let [tex]b[/tex] = bowl

Let [tex]p[/tex] = plate

Given:

Equal number of bowls and plates for $961 plate = $2 1 bowl = $4 + $2 = $6

1) We can translate these into algebra. Since Rachel has equal number of bowls and plates, [tex]b=p[/tex], totaling to $96.

[tex]b=p\\2p + 6b = 96[/tex]

2) We can solve for [tex]p[/tex] these two equations simultaneously using the substitution ot elimination method. I will demonstrate using the substitution method here.

[tex]2p + 6(p) = 96\\2p+ 6p = 96\\8p = 96\\p = \frac{96}{8} \\p = 12[/tex]

So, Rachel bought 12 plates and 12 bowls since plates are equivalent to bowls.

3) Use ratio to find the the cost of the plates.

[tex]1p[/tex] = $2

[tex]12p[/tex] = $24

If x2 mx m is a perfect-square trinomial, which equation must be true? x2 mx m = (x – 1)2 x2 mx m = (x 1)2 x2 mx m = (x 2)2 x2 mx m = (x 4)2

Answers

An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation [tex]m^2+2m[/tex]. Since there is only one value that can satisfy this equation that is 2.

Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

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Is this triangle acute, right or obtuse?

Triangle



Acute


Obtuse


Right

Answers

Answer:

ill say acute

Step-by-step explanation:

if im wrong tell me but if im not pls mark brainllest!

Answer:

This triangle is Acute.

Step-by-step explanation:

To figure this out you add the length of the two smaller sides if the sum is greater than the longest side then the answer is Acute. I really hope this helps have a wonderful day!

Can someone help me with this please
y – 6 ≥ 12

Answers

That would probably be 72 becuase if you multiply 12 and 6 it would be 72 hope that helps!!

I need help with this please.

Answers

D since X,Y=X/Y so you know what the top and bottom are

Amira is planning to plant a new food forest with papaya guava and banana trees she wants to plant a total of 36 trees in the forest and select 18 of them to be the buyer none of them to be guava she says that they're made in 25% of the forest will be banana trees is she correct? Explain.

Answers

Answer:

No

Step-by-step explanation:

If 18 are papaya or banana and none are guava then the remaining two trees would split the 36 50-50

What is 5/8 times 1/2

Answers

Answer:

5/16

Step-by-step explanation:

When multiplying fractions, you multiply the numerator by the numerator & the denominator by the denominator.

So 5/8 x 1/2 = 5 x 1/8 x 2 = 5/16

8
5.1
What is the area of the parallelogram?

(Please my geometry is due tomorrow an I haven’t even started yet)

Answers

Answer:

s the answer is 40

n

Step-by-step explanation:

a the formula is A=bh

p so 8*5=40

dsan168

Find the are of the shaded region. Are of a triangle = 1/2 base x height . 2w+2 < height. Width is 3w-1

Answers

The formula for the area of a triangle is 1 / 2 × base × height. This formula can be more easily written as Area = 1 / 2 bh. The formula of Area = 1 / 2 bh works for all triangles, no matter what size or shape.

From the top of a building 37 feet high, the angle of depression to a car stopped on the ground is 19 degrees. What is the distance from the car to the base of the building?

Answers

The distance from the car to the base of the building is 107.46 feet

Angle of elevation and depression

From the question We are given the following information

Angle of depression

Height of the building H = 37 feet

Required

distance from the car to the base of the building

Using the SOH CAH TOA identity

tan 19 = opp/hyp

tan 19 = 37/B
B = 37/tan 19
B = 37/0.34432
B = 107.46

Hence the distance from the car to the base of the building is 107.46 feet

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Please help me I can’t figure it out

Answers

Answer:

Your answer is 4

Step-by-step explanation:

(52 - 2(2)) / (9 + 3)

(52 - 4) / (9 + 3)

48 / 12 = 4

What is mZRST in degrees? O 78° O 84° O 120° O 156°​

Answers

Answer:

rst = ust + usr

6x+12 = 78 + 3x - 12

3x = 54

3x+66 = 54 + 66

3x +66= 120

thus rst = 120

The measure of angle ∠RST in degree is 156°

What is measure of an angle?

The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.

Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°

Now, ∠RSU+UST=∠RST

Putting the values of ∠RST and ∠UST we get,

78 + (3x - 12) = 6x + 12

78 + 3x - 12 - 6x - 12 = 0

54 - 3x = 0

3x = 54

So, x = 54/3=18

Therefore, (6x + 12)°=(6×18 + 12)°

=(144 + 12)°

=156°

Hence the measure of angle ∠RST is 156°

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HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]192cm^{2}[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} bh[/tex]

We know that b is the measurement of the base, 12, and h is the height of the cone, 32. Now we can simply insert those numbers into the equation and solve it.

[tex]A = \frac{1}{2} (12*32)\\\\A = \frac{1}{2} (384)\\\\A = \frac{384}{2} \\\\A = 192[/tex]

4
Select the correct answer.
Which expression is equivalent to the given expression?
3x2 + 5x – 7(x2 + 4)
-
O A.
x2 + 28
4
OB. x2 + 4
OC. -4x2 + 5x – 28
ОС
C

Answers

Answer:

C. -4x² + 5x - 28

Step-by-step explanation:

1. Expand -7(x² + 4):

-7x² - 28

3x² + 5x -7x² - 28

2. Group like terms:

-4x² + 5x -28

hope this helps :)


A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2
feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?

Answers

Answer: 11.25 ft³

Step-by-step explanation:

     We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.

V = L * W * H

V = 2.5 * 3 * 1.5

V = 11.25 ft³

       The volume of the rectangular prism is 11.25 ft³.

Dana just finished paying off the $15,400 loan she took out four years ago. the loan had 6.68% interest, compounded monthly. if dana paid a total of $18,321.60, how much did she pay in service charges? a. $730.08 b. $366.49 c. $1,028.72 d. $266.76 please select the best answer from the choices provided a b c d

Answers

If Dana paid a total of $18,321.60, then the amount that she paid for in service charges will be $730.08

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

For service charge

[tex]\rm Pv = PMT[(1 - (1 + (r/k))^{-kn}) / (r/k)][/tex]

Where;

Pv is the amount of the loan = $15400

PMT is monthly payment

R is interest rate = 6.68% = 0.0668

K is number of times compounded monthly = 12

N is time = 4years

PMT the subject of the formula gives

[tex]PMT = Pv/ [(1 - (1 + (r/k))^{-kn}) /(r/k)][/tex]

PMT = 15,400 ÷ ((1 − (1 + 0.0668 ÷ 12)^(−12 × 4)) ÷ (0.0668 ÷ 12))

PMT = 366.49

Thus, the total amount paid

A = 366.49 × 12months × 4years

A = $17,591.52

Thus, the Service charge is

S.C = 18,321.60 − 17,591.52

S.C = $730.08

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If f(x) = 3x 2 and g(x) = x2 1, which expression is equivalent to (f circle g) (x)? (3x 2)(x 2 1) 3x 2 1 2 (3x 2)2 1 3(x 2 1) 2

Answers

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. The correct option is D.

What is a factor?

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The given expression is;

[tex]f(x) = 3x + 2 \\\\ g(x) = x_2 + 1[/tex]

[tex](f g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1[/tex]

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. Option D is correct.

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Please help me with this question. Thank you

Answers

Answer:

9.

Step-by-step explanation:

6 9 12 15:-  multiplying by 3.

Answer:

B) 9

Step-by-step explanation:

When looking in both the horizontal and vertical direction of the missing space, we can see that the difference between the two numbers, 12 and 15, is 3.

15 - 12 = 3

Using this, we can see that each space on the second row and second column change by 3. Therefore, when looking at the missing space in the sequence, we can figure out that it is 9 by adding 3 to 6.

X^(2) + 6x - 9 = 0
solve by completing the square
write in (x+h)^2 = k form

Answers

Step-by-step explanation:

[tex]{x}^{2} + 6x - 9 = 0[/tex]

ADDING 18 ON BOTH SIDES

[tex] { x }^{2} + 6x - 9 + 18 = 0 + 18[/tex]

[tex] {x}^{2} + 6x + 9 = 18[/tex]

[tex] {(x)}^{2} + 2(x)(3) + {(3)}^{2} = 18[/tex]

[tex] {(x + 3)}^{2} = 18[/tex]

how many kilometers per hour would she have been traveling over the speed limit of 60 if covered a distance of 10 km in 5 minutes

Answers

Answer:

60 MPH over the limit

Step-by-step explanation:

5 times 12 - 60

A rectangular banquet room has an area of 182 square meters and a perimeter of 54 meters. Let l and w represent the dimensions of the room in meters. Which statements describe the dimensions of the banquet room? Select all that apply.

Answers

Answer:

Choose all but C

Step-by-step explanation:

Givens

Area = 182 m^2

Perimeter = 54 m

Solution.

B: solves for the length, not the width. Area = L*w. Area / w = L. But to get to the length, you need to solve for the width. So this statement can be used. B is true.

C is not true. The length and width differ by 1 which means one of them is even and the other is odd. See below under A.

D is also true. 2L = 54 - 2w   Divide both sides by 2

2L/2 = 54/2 - 2w/2

L = 27 - w

E is true.

L * w = 182                              Divide both sides by w

L = 182/w

The only one we don't know about is A. We have to solve the problem to get the answer to A.

P= 2L + 2w = 54

2L + 2w = 54

L + w = 27

L = 27 - w

L*w = 182

(27 - w ) * w  = 182                   Remove the brackets

27w - w^2 = 182                      Subtract 27w - w^2  from both sides.

0 = w^2 - 27w + 182                Notice the sign change. Subtraction does that.

This factors into

(w - 13)(w - 14)

A turns out to be true, because w can be 13 or 14. When W = 13, L = 14.

When w = 14, L = 13

Estimate 6 divided by 253 please show the work

Answers

0.023...

hope it helps...!!!

if two dice are thrown together , what is the probability of getting an even number on one die and odd number on the other die ?

Answers

Answer:

1/2

Step-by-step explanation:

the probability of the die rolling an even number  =  the probability of the die rolling an odd number  =1/2

Let us name these  2  dice as  A  and  B

One die can roll an even and the other can roll an odd, in the following cases

A  rolls even and  B  rolls odd. The probability of this happening  =1/2×1/2

A  rolls odd and  B  rolls even. The probability of this happening  =1/2×1/2

∴  The required probability

=1/2×1/2+1/2×1/2

=1/4+1/4

=1/2

julie planned to walk 35 miles a week. On Monday and Wednesday she walked 5 miles each. tuesday and thursday she walked 3 miles each. friday she walked 2 miles, saturday she walked 7 miles. and sunday she walked 4 miles. she failed to reach her goal. what was julie's approximate percent error?

Answers

Answer:

11%.

Step-by-step explanation:

Total miles walked = 5+5+3+3 +2+7+4 = 29.

%age error = [(35-29)/35] * 100

= 4/35 * 100

= 11%.

=

Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one

minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie

draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed

with a mean of 38 flowers and a standard deviation of 1. 8 flowers. The number of flowers Bennie draws in 1 minute,

B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2. 6 flowers. Let D represent

the difference, A - B in the number of Alicia's and Bennie's flowers drawn in 1 minute

What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?

Answers

Answer:

0.829

Step-by-step explanation:

Doesn’t it tell you the hight of the base I do not understand.

Answers

Answer:

Height of base (x) is 9cm exact

Step-by-step explanation:

I NEED HELP PLSSSSS I HVA ENO TIME LEFT

Answers

X=6
I won’t explain since ur in a hurry

Answer:

x=6

Step-by-step explanation:

FG is similar to MN just like GH is similar to NP.  GH is 20, which is double NP,10. Then, MN should be half of FG, 12, so 6 is your answer.

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