1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?

1. Find The Area Of The Composite Figure To The Nearest Hundredth.55 Mm32.5 Mm12.5 Mm12.5 Mmtotal Area

Answers

Answer 1

Answer:

[tex]745.45 mm^{2}[/tex]

Step-by-step explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]

[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]

Formula for rectangle = [tex]A = lw[/tex]

[tex]25 x 12.5 = 312.5 mm[/tex]

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

[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]

Now we add them all up to get our answer

[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]

Answer 2

The area of the composite figure is 741.31 mm².

What is area?

The area of any object is given by the space covered by it.

Given is a composite figure having shapes, a semicircle, a triangle and rectangle,

We need to find the area of the composite figure,

So, to find the same we will find the areas of the figure and then add them,

So,

Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2

= 245.31 mm²

Area of a triangle = 1/2 × base × height

= 1/2 × 12.5 × 30

= 187.5 mm²

Area of a rectangle = length × width

= 12.5 × 25

= 312.5 mm²

Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²

Hence the area of the composite figure is 741.31 mm².

Learn more about area click;

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Related Questions

What is the image of (-5,-6) after a reflection over the line y=−x?

Answers

Answer:

The image will be the point (6,5)

Step-by-step explanation:

Here, we want to get the image of the point (-5,-6) after the reflection

Mathematically if we reflected a point with the pre-image coordinates (x,y) over the line y = -x; its image becomes (-y, -x)

So, (-5,-6) becomes (6,5)

Find the value of x.

Answers

Answer:

=147x2+406x−253

Step-by-step explanation:

For number five what is the Mean, Median, Mode, and Range

Answers

Answer:

Median- 31

Mean- 39

Mode- 20

Range-71

Step-by-step explanation:

Median-13, 20, 20, 20, 31, 35, 61, 67, 84

31 one is in the middle, also you have to sort it for least to greatest.

Mean- Add all the number then divide by the numbers there are.

Mode-It has occored the most

Range- sort least to greatest, then subtract the highest number to the lowest

Can someone please help me on this

Answers

Answer:

9

Step-by-step explanation:

find the volume................

Answers

Answer:

[tex]1) v= 400 ft^{2}[/tex]

[tex]2) v=1093.3m^{3}[/tex]

Step-by-step explanation:

1) v= 1/3 ab ×h

v= 1/3 (10)(10)×√13²-5²

v= 400 ft²

-------------------

2) v= πr² h/3

v= 1/3 × π×(6)²×29

v= 1/3×π×12×29

v= 348π

v= 1093.27

≈1093.3

---------------

hope it helps...

have a great day!!

En una tienda en la que todo está rebajado el 15% he comprado un pantalón por el que he pagado 102 €. ¿Cuál era el precio antes de la rebaja?

Answers

Answer:

120 euros

Step-by-step explanation:

X= 100% del precio (antes de la rebaja)

Pagaste el 85% pues habia descuento del 15%

85%--------------102

100%---------------x

CROSS MULTIPLICATION

85X  =  10200

Divide cada parte por 85

x= 120

Teniendo en cuenta la definición de descuento, el precio antes de la rebaja era 120 €.

En una operación de descuento, el valor que se paga después de haberle practicado el descuento se denomina “valor actual”.  

Recordando que el porcentaje representa una parte del total, el valor actual se puede calcular multiplicando el porcentaje a descontar por el precio original,  al cual luego se divide por cien. Finalmente, se resta al precio original este valor de descuento calculado. De esta manera se averigua el precio de venta.

Entonces, sea el precio original del producto p. Por lo que el descuento del precio original será:

15% de p= (15×p) ÷10

Sabiendo que se ha pagado 102 € por el pantalón, entonces:

p - (15×p) ÷10 = 102

Resolviendo

p - 0,15×p= 102

0,85×p= 102

p= 102÷0.85

p= 120

Finalmente, el precio antes de la rebaja era 120 €.

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Solve -3x + 12 = 2x - 18

Answers

Answer:

The value of x is 6

Step-by-step explanation:

- 3x + 12 = 2x - 18

12 + 18 = 2x + 3x

30 = 5x

5x = 30

x = 30 ÷ 5

x = 6

Thus, The value of x is 6

-TheUnknownScientist

Round 452.196 to the nearest tenth

Answers

I think the answer is 452,2, im sorry if its wrong

Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles

Answers

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles  must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

Plsss help me on this

Answers

Answer:

Pretty sure it is Product of Powers Property

Step-by-step explanation:

it's all on the picture ​

Answers

Answer:

subtract 12 from both sides of the equal sign

-since you are trying to find h

Given: Triangle ABC with AB = 45 and BC = 18.

Which of the following are possible lengths for AC?

35

17

7

56

70

27

30

63

Answers

Answer:

35, 27, and 30

Step-by-step explanation:

PLEASEE HELPP HELPP IMMA FAIL

Answers

I think the first answer is 21

Henry has a box of toys that weighs 7 pounds. He has another box of toys that weighs 84 ounces. How many ounces do both boxes weigh altogether?

Answers

Answer:

196 ounces

Step-by-step explanation:

1 pound = 16 ounces

16 x 7 = 112

112 + 84 = 196 ounces

how do i get only 50 point questions​

Answers

Answer:

what?

Step-by-step explanation:

if your asking to filter out all questions for only those that give you 50 points, its not possible at this moment

please help if you want points and happy ramadan if you celebrate it

Answers

Answer:

1. yes

2.no

3.yes

4. no

hope this helps I'm not sure about number 2 tho

Wich of the numbers below are factors of 20? Select that apply.

A)3
B)4
C)5
D)10
E)16





Answers

4, 5, And 10

4x5= 20

5x4= 20

10x2= 20

Leo is going to his grandmas apartment. He takes the subway, 3/6 of a mile there and walks another 1/6 mile. How much farther does Leo travel to get to his grandmas?

Answers

Answer:

2/6

Step-by-step explanation:

Add 3/6 and 1/6, then the leftover is 2/6.

What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)

questions are:

A) y= 2x + 13.5
B) y= x - 1
C) y= -2x + 1.5
D) y= -2x - 8.5

Answers

Answer:

D

Step-by-step explanation:

Please help!!!!

Which set of side lengths forms a unique triangle ?
A. 4 cm, 4 cm. 8 cm

B.13 cm. 18 cm. 33 cm

C. 7 cm. 14 cm, 20 cm

D.106 cm, 215 cm, 323 cm​

Answers

Answer:

a

Step-by-step explanation:

A Triangle has one 73 angle and a 58 angle. what is the measurement of the third angle?

Answers

Answer:49

Step-by-step explanation:

PLEASE HELP. NO LINKS. NEED REAL EXPLANATION.


Find the circumference and the area of circle with diameter 6ft. Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Circumference:

Area:

Answers

Answer:

Area: 28.26ft², Circumference: 18.84ft

Step-by-step explanation:

Area of a circle: πr²

Circumference of a circle: πd (or 2πr)

Since the diameter is 6ft, then the radius is half of that, which is 3ft. This means that our area is:

πr²

π(3)²

π(9)

9(3.14)

28.26ft²

Our circumference is:

πd

π(6)

6(3.14)

18.84 ft

2( x + 7) - (-18 + 4/5)

Answers

Answer:

[tex]2x+ \frac{156}{5}[/tex]

Step-by-step explanation

simplify step-by-step.

2(x+7)−(−18+

4

5

)

Distribute the Negative Sign:

=2(x+7)+−1(−18+

4

5

)

=2(x+7)+(−1)(−18)+−1(

4

5

)

=2(x+7)+18+

−4

5

Distribute:

=(2)(x)+(2)(7)+18+

−4

5

=2x+14+18+

−4

5

Combine Like Terms:

=2x+14+18+

−4

5

=(2x)+(14+18+

−4

5

)

=2x+ [tex]\frac{156}{5}[/tex]

1/8 + 9/40 as a fraction in simplest form

Answers

Find the least common multiple of 8 and 40 which is 40. The denominator will be 40. For 8 to get to 40 we have to multiply the top number by five since 8 x 5 is 40.

So we will have:

5/40

9/40 already has 40 as its denominator so we will keep the fraction like that:


5/40 + 9/40 = 14/40


14/40 can be simplified by 2.


7/20




So the answer is 7/20.



Hope this helped, have an awesome day! <3

Answer:

7/20

Step-by-step explanation:

9/40, 9 divided by 40 is 0.225. 1/8, 1 divided by 8 is 0.125. Add 0.225 and 0.125 you get 0.35. 35% (0.35) of 100 to a fraction is 7/20. 7 divided by 2 is 3.5 or 0.35, 20 divided by 2 is 10 or 1. So yeah. Hope This Helps :)

How many anime have you watched and name 10 of them if you can :D

Answers

Answer:

the best anime is death note.

Step-by-step explanation:

Answer:

My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol

Step-by-step explanation:

Find the slope of the line that passes through the points (0,-5) and (-2,-3).​

Answers

Answer:

the slope is -1

Step-by-step explanation:

formula for slope is (y2-y1)/(x2-x1)

lets say (-2,-3) is (x2,y2)

-3-(-5)=2

-2-0=-2

2/-2=-1

Can you guys please answer this is really important

Answers

Answer:

B) BC'= 8, m A'= 28°

Step-by-step explanation:

When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.

To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':

BC' = BC×1/2BC' = 16×1/2BC' = 8

The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.

27 thanks no links or I will report you

Answers

This is B because in 4 rows of 8 with 32 cans

HELP NOW PLEASE!! what is the equation of a line through the origin and (-5, -5)

Answers

y = x is your answer ❤️.....

Answer:

y = 1x

Step-by-step explanation:

(0,0) (-5,-5)

y2 - y1 / x2 - x1

-5 - 0 / -5 - 0

- 5 / -5

1

y = 1x + b

-5 = 1(-5) + b

-5 = -5 + b

0 = b

15 POINTS!!!! HELPP PLEASEE QUICK I NEED IT NOWW PLSS I POSTED THIS SO MANY TIMES PLSSS NO LINKS NO BOT OR ANSWERS JUST TO GET POINTS I WILL REPORTT!! Which of the following equations describes the line shown below? Check all
that apply.
(-6,2)
(-1,-4)

Answers

Answer:

Pretty sure its A and B

Step-by-step explanation:

Slope is -6/5, so that leaves just A B and E

Plugged it in, only A and B were correct

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