The figure shows 3 semicircles and a right-angled triangle, Find the total area of the shaded parts. (Take a = 3.14) ​

The Figure Shows 3 Semicircles And A Right-angled Triangle, Find The Total Area Of The Shaded Parts.

Answers

Answer 1

Answer:

A semicircle is drawn with AC as diameter. If AB = BC = 7 cm, find the area of the shaded region. Take π = 22/7. 25. A circular field has perimeter 660 m.

Answer 2

Using the formula for area of circle and right angled triangle, we find that area of shaded region is  96[tex]cm^2[/tex].

Area of circle = [tex]\pi r^2[/tex]

where, r is the radius of circle.

Area of right angled triangle = [tex]\frac{1}{2} * base *height[/tex]

The area of shaded region is given by =

= area of semicircle with AB as diameter + area of semicircle with BC as diameter + area of triangle ABC - area of semicircle with AC as diameter

Now,

area of semicircle with AB as diameter =

AB = diameter  =  12cm

radius = 6 cm

area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 6^2 = 56.52[/tex]

area of semicircle with BC as diameter =

BC = diameter  =  16cm

radius = 8 cm

area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 8^2 = 100.48[/tex]

area of semicircle with AC as diameter =

AC = diameter  =  20cm

radius = 10 cm

area of semicircle = [tex]\frac{1}{2} \pi r^2 = \frac{1}{2} *3.14 * 10^2 =157[/tex]

area of triangle ABC =

AB = base = 12cm

BC  = perpendicular = 16 cm

area(ABC) = [tex]\frac{1}{2}*12*16 = 96[/tex]

The area of shaded region is given by = 56.52 + 100.48 + 96 - 157 = 96[tex]cm^2[/tex]

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Related Questions

One bushel of apples weighs about 40 pounds. About how many bushels of apples would weigh 1 ton?

Answers

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

1 ton = 2000 pounds

2000÷40=50

What fraction is equivalent to four tenths and has a denominator of 100?

four hundredths
ten hundredths
forty hundredths
forty tenths

Answers

Answer:

forty hundreths

Step-by-step explanation:

40/100 is equivalent to 4/10 and has a denominator of 100

(forty hundreths)

Reasoning? 40/100 is 10 times 4/10

Solve x(x - 2) = 4
Using quadratic formula

(Show step by step for the answer because I gotta show my work)

Answers

Answer:

x = 1 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

x(x - 2) = 4

Multiply x on the left side by foil.

[tex]x^{2}- 2x = 4[/tex]

Subtract 4 on both sides.

[tex]x^{2} -2x-4=0[/tex]

Now, the quadratic formula.

x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a

Using the standard form equation.

Ax² + Bx + C = 0

(1)x² - 2x - 4 = 0

A = 1

B = -2

C = -4

x = (-(-2) ± [tex]\sqrt{(-2)^{2}-4(1)(-4) }[/tex]) / 2(1)

x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2

x = (2±[tex]\sqrt{20}[/tex])/2

x = (2±2[tex]\sqrt{5}[/tex])/2

x = 1 ± [tex]\sqrt{5}[/tex]

After converting two mixed numbers to improper fractions, what is the next step to take in order to solve the equation: 3/2 x 7/3 =?
Next you should simplify your fractions with the GCF.
Next you should find a common denominator for your fractions.
Next you should clearly state your final answer.
Next you should multiply the numerators and denominators.

Answers

Answer:

Next you should multiply the numerators and denominators.

explanation:

i got 100% ;)

Answer:

Multiply The Numearters and Denomenators

Step-by-step explanation:

Providing Brainliest for correct <333

Answers

THE MIDDLE TERM SHOULD BE 24p
3(3x+1)(x-1) and (3x +1)(3x-3)

Answer:

#1

Well lets solve the polynomial first.

(4p +3) ^2

That is basically

(4p + 3) (4p + 3)

And we’re trying to find the error in the “equal” solution.

16p^2 + 8p + 9.

So let’s solve the polynomial first

Following F.O.I.L

F- First

O- Outter

I- Inner

L- Last

So doing the equation in order.

4p * 4p = 16p^2

4p * 3 = 12p

3 * 4p = 12p

3* 3 = 9

Added it all up.

16p^2 + 12p + 12p + 9

Simplify.

16p^2 +24p +9
We can see that in this case the 8p is wrong.

So we replace 8p with 24p

In this case the last option.

Factoring #2

So we’re factoring

9x^2 -6x - 3

So how are we gonna do this.

So I’m just gonna go over the simple method.

The standard form of a quadratic is

Ax^2 + bx + c = 0

We don’t have to worry about the equal 0 part here for now.

ax^2 + bx + c

A being the number next to x^2

B is the number being next to x

C is the number that is next to nothing, jsut a plain whole number (sometimes whole number)

So let’s plug it in.

(It’s already plugged in so we can solve)

9x^2 - 6x - 3

Multiply a and c in ths case being, 9 and -3.

You’d get -27

We need two numbers that multiply to -27 and add up to -6

From here it’s guessing and checking.

Here’s my process.

trial 1

Since the sum is negative, it has to be negative + negative or positive + negative greater then the positive. Or vice versa but positive is less then negative.

But the product has to be -27,negative * negtaive is positive, so it has to be positive * negative and positive + negative.

I look at -27 and think of two numbers that would give the lowest.

-9 * 3

-9 * 3 = -27

-9 + 3 = -6

It looks like I got it already on the first try.

The numbers are -9 and 3

end of trial 1

So now I know that the numbers are -9 and 3.

Using that information I just plug it into the quadratic but replace it with b.

9x^2 -9x + 3x - 3

Now you can simplify this

In the end you’d get

3 (3x+1)(x-1)

You’d have the third option open to you

Figure out the second one using these strategies

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Answers

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: [tex]S_{n}=\frac{a(1-r^{n})}{1-r} \\[/tex]

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: [tex]S_{10}=\frac{-3(1-5^{10})}{1-5}[/tex] = -7324218

brainliest please :)

translate each verbal phrase into algebraic expression.

1. twice the difference between 6 times h and 3 gives 30.

2.sum of 5 times z and 4 divided by two is 7.

3.twenty-two minus the product of 7 and y yields 1.

4.quotient of 8 lowered by 2 times t and 3 is two.

5.three-fourths of x added to twice of x gives 11.

6.5 times together of 6 and 4 multiplied by g is equivalent to 50.

7.altogether of 9 and two-thirds of k alike 13.

8.7 raised by thrice of c dropped by factor of five is 2.

9.8 divides total of 3 times f and six equals 3.

10.volume of 8 and the product of 5 and q increased by 6 yields 88.

I really need it. :) thanks

Answers

Answer:

Step-by-step explanation:

[tex]1.\ 2(6h - 3) = 30[/tex]

[tex]2.\ \frac{5z+4}{2}=7[/tex]

[tex]3.\ 22 - 7y = 1[/tex]

[tex]4.\ \frac{8-2t}{3} =2[/tex]

[tex]5.\ \frac{3}{4}x +2x=11[/tex]

[tex]6.\ 5(6 + 4g) =50[/tex]

[tex]7. \ 9+\frac{2}{3}k=13[/tex]

[tex]8.\ \frac{7+3c}{5}=2[/tex]

[tex]9.\ \frac{3f+6}{8}=3[/tex]

[tex]10.\ 8(5q + 6)=88[/tex]

Hope this helps!

How many games altogether will four teams play if every team plays each other twice?

Answers

Answer :  8

Explanation : 4 × 2 = 8

◊ YusuCr ◊

Answer:

8

Step-by-step explanation: if your times it by two it would be 4x2 = 8 :)

Given graphs of f, g, and h, which function (g or h) is an inverse function of function f?

Answers

h

it's f but reflected diagonally

Ayuda pls cuanto es 278x972

Answers

Answer:

270216 this the multiplication of the numbers you can also use a calculator

On Monday, you deposited $20 into your bank
account. On Tuesday, you withdrew $12. If you
currently have $74, how much did you have on
Monday to begin with?

Answers

I think you add 20 and 74 which would be a total of 94?

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

1st and 6th option, 35 adult tickets

Step-by-step explanation:

So we know adult tickets are x and children tickets are y.

The total number of tickets is 57, so

x + y = 57

The adult tickets are worth 6 and the children's tickets are worth 2.50.

The total cost is 265.

6x + 2.5y = 265

Now, the system of equations.

6x + 2.5y = 265

-6x - 6y = -342

-3.5y = -77

y = -77/-3.5

y = 22

Plugging y back in

x + 22 = 57

x = 35 adult tickets sold

Given↷

* $265 worth of tickets were sold

* Adult tickets cost $6

* Child tickets cost $2.50

* 57 tickets were sold

To Find ↷

Let x represents the number of adult tickets sold and y as the number of child ticket sold

Which squations equation represents the scenerio? select 2 options

Answer ↷x ⇢No. of adult tickets soldy⇢No. of child ticket sold

so ,the equations would be

⤿ x + y = 57 ✓

⤿ 6x + 2.5y = 265 ✓

Solution

x + y = 57.....(1)

6x + 2.5y = 265.....(2)

Multiplying equation 1st by 6

we get,

6x + 6y = 342 ...(3)

subtracting equation (3) by equation (2)

we get,

6x + 6y = 342

-6x + 2.5y= 265

_____________

ㅤㅤ 3.5y =

ㅤㅤ y = 77/3.5

ㅤㅤ y = 22

_______________

y = 22x = 57-22 = 35

______________________________

A child ticket⇢ $ 2.5 x 22= $ 55An adult ticket⇢ $ 6 x 35 = $ 210

_______________________________

Total cost ⇢ $55 +210 = 265

_______________________________

Debra had 324 baseball cards. She got 439 more cards. How many cards does she have now?

Answers

Answer:763

Step-by-step explanation:

you add both numbers

Find the value of sin T rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

Thirteen times the cost of one ticket

Answers

Is 13 because one ticket and thirteen times
its 13 because anything multiplied by one will be the number we began with

Please help! Will give brainliest and lots of points

Answers

Answer:

b) [tex]4 \frac12[/tex] inches

3. a) [tex]2\frac{1}{8}[/tex] foot

Step-by-step explanation:

b)  area of a rectangle = length × width

Given:

area = 15 3/10length = x + 3width = 3 2/5

[tex]\implies 15\frac{3}{10}=(x+3) \times 3\frac25[/tex]

[tex]\implies \dfrac{15\times10+3}{10}=(x+3) \times \dfrac{3 \times 5+2}5[/tex]

[tex]\implies \dfrac{153}{10}=(x+3) \times \dfrac{17}5[/tex]

[tex]\implies \dfrac{153}{10} \div \dfrac{17}5=x+3[/tex]

[tex]\implies \dfrac{153}{10} \times \dfrac{5}{17}=x+3[/tex]

[tex]\implies \dfrac{765}{170} =x+3[/tex]

[tex]\implies \dfrac92=x+3[/tex]

[tex]\implies 9=2(x+3)[/tex]

[tex]\implies 9=2x+6[/tex]

[tex]\implies 2x=3[/tex]

[tex]\implies x=\dfrac32[/tex]

Therefore,

[tex]\textsf{length} = \dfrac32 + 3 = \dfrac92 = 4 \frac12[/tex]

Question 3a

Subtract the length of the picture from the length of the wall, then divide the answer by 2.

[tex]\implies (14\frac12-10\frac14) \div 2[/tex]

[tex]\implies \left(\dfrac{14 \times 2 +1}{2}-\dfrac{10\times4+1}{4}\right) \div 2[/tex]

[tex]\implies \left(\dfrac{29}{2}-\dfrac{41}{4}\right) \div 2[/tex]

[tex]\implies \dfrac{17}{4} \div 2[/tex]

[tex]\implies \dfrac{17}{4} \times \dfrac12[/tex]

[tex]\implies \dfrac{17}{8}[/tex]

[tex]\implies 2\frac{1}{8}[/tex]

Identical lines through the sides of a triangle indicate that the sides are:.

Answers

When the sides are the same then the triangles are congruent.

Identical lines through the sides of a triangle indicate that the sides are congruent.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Congruent triangles are two triangles that are identical in terms of size and shape. One of two congruent triangles remains congruent even if it is rotated, flipped, or turned. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.

Thus, identical lines through the sides of a triangle indicate that the sides are congruent.

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based on the information in the two-way table, what is the probability that a person selected at random is a left-handed male?

Answers

1:4, 1 out of every 4 men would be left handed

write each number in scientific notation 1) 660000 2) 0.00365 3)0.009 4) 810

Answers

Answer:

1) 6.6 × 10^5   2) 3.65 × 10^-3   3) 9 × 10^-3   4)  8.1 × 10^2

Step-by-step explanation:

I think that's what it is.

The time, t in seconds that it takes a car to travel a quarter-mile when starting from a full stop can be estimated by using the formula:

(see image)

Where w = weight of the car

p = power delivered by the engine in horsepower (hp)

If the quarter-mile time for a 3,590-pound car is 13.4 s, how much power does its engine deliver? Round to the nearest pound.

Assignment:

Natasha and Daniel worked out this problem. Natasha’s answer was 295 hp and Daniel’s was 679 hp.

1. Who was right?
2. How did you determine who was right? Show each step of how each of them solved the problem.
3. Set up your Fantasy Race. Research two different cars/trucks. What is the average hp and weight of each? Based on the formula, how fast can each reach a quarter-mile? Show all the work for each.

Answers

The computation of the power shows that Natasha was right as the value gotten is 295hp.

How to calculate power?

From the information given, t is given as 5.825 to the cube root of w/p.

In this case, the value of p will be:

p = w/t³(5.823)³

p = 3590(5.823)³ / (13.4)³

p = 708828.13/2406.104

p = 295hp

In conclusion, Natasha was correct.

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C
\qquad m \angle AOC
m∠AOC
m, angle, A, O, C
is a straight angle.

m

A
O
B
=
8
x
+
5
1

\qquad m \angle AOB = 8x + 51^\circ
m∠AOB=8x+51

m, angle, A, O, B, equals, 8, x, plus, 51, degrees

m

B
O
C
=
6
x

2
5

\qquad m \angle BOC = 6x - 25^\circ
m∠BOC=6x−25

m, angle, B, O, C, equals, 6, x, minus, 25, degrees
Find
m

A
O
B
m\angle AOB
m∠AOB
m, angle, A, O, B
:

Answers

Answer:

m∠AOB=139°

Step-by-step explanation:

m∠AOB+m∠BOC=180°

m∠AOB=8x+51°

m∠BOC=6x-25°

~

[tex]\tt 8x+51+6x-25=180[/tex]

[tex]\tt 14x+26=180[/tex]

[tex]\tt 14x=180-26[/tex]

[tex]\tt \cfrac{14x}{14} =\cfrac{154}{14}[/tex]

[tex]\tt x=11[/tex]

m∠AOB:-

[tex]\tt 8(11)+51[/tex]

[tex]\tt =88+51[/tex]

[tex]\tt =139^{o}[/tex]

Therefore, m∠AOB=139°

WILL GIVE BRAINLIEST

Which statement is TRUE about the results of the transformation?
A) Only corresponding sides of the triangles are congruent after the transformation.
B) Only corresponding angles of the triangles are congruent after the transformation.
C) Both corresponding angles and corresponding sides are congruent after the transformation.
D) Neither corresponding sides or corresponding angles are congruent after the transformation.

Answers

Answer:

C Is the correct answer

I am not sure please check it out once

Write an example of a binomial with a degree of 3

Answers

3x^3+7x the power is the degree and you need a total of 2 terms

Answer:

5x^3 + 7

Step-by-step explanation:

So basically a binomial is when there are 2 terms

To a certain degree (it's 3 in this case) is when the variable is to that power.

For example: [tex]5x^{3} + 7[/tex]

Mary brought chocolate and vanilla cupcakes to school for her birthday. 20 students decided to take a cupcake, and 10% of them picked vanilla. How many people picked a vanilla cupcake?

Answers

Answer:

  2

Step-by-step explanation:

To find the number corresponding to a percentage, multiply the base value by the percentage.

  10% of 20 = 0.10 ×20 = 2

2 people picked vanilla cupcakes.

please hurry!!! find the measure of E

Answers

Traingle DEF is isosceles

DE=FD

So

<F=<E

Hence

<E=55°

Grace has a segment with endpoints C (3, 4) and D (11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. She knows the distance between the x coordinates is 8 units. Which of the following fractions will let her find the x coordinate for point E?

Answers

x-coordinate of point E=6 i think

The value of x coordinate for point E is,

⇒ x = 6

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Grace has a segment with endpoints C (3, 4) and D (11, 3)

And, It is divided by a point E such that CE and DE form a 3:5 ratio.

Hence, We get;

The coordinates of E is,

E = [ ( 3× 11  + 5 × 3)/(3 + 5) , (3×3  + 5 × 4)/(3 + 5) ]

   = [ (33 + 15)/8 , (9 + 20)/8 ]

    = *(48/8  ,  29/8)

    =  (6 , 3.625)

Thus, The value of x coordinate for point E is,

⇒ x = 6

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Anyone know? I don’t really get it..

Answers

Answer:

D is the correct ans

Step-by-step explanation:

Because

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered? 1963. 5 ft 1963. 5 ft² 5890. 5 ft 5890. 5 ft².

Answers

Answer:

Option D. 5890.5 feet²

Step-by-step explanation:

An individual head of a sprinkler system covers a circular are of grass with a radius of 25 feet.

Yard has three sprinkler heads that each cover circular area with no overlap.

We have to calculate the approximate area watered by these 3 sprinkler heads.

Area covered by one sprinkler = π×r² = π×(25)² = 625π feet²

Therefore area covered by three sprinkler heads = 3 × 625π = 5892.85 feet²

which matches the approximate value of Option D. 5890.5 feet²

Which is the graph of f(x) = 4(1/2)*?

Answers

B I think not sure tho have a good day

Answer:

The second graph is the answer

4. Green Meadows makes three types of portable coolers. The company’s total fixed cost is 1,080,000. Selling prices, variable costs, and sales percentages of each type of cooler: Model X100: selling price – 8,800; variable cost – 7,600; sales mix – 30% Model X950: selling price – 14,800; variable cost – 12,000; sales mix – 50% Model X800: selling price – 24,000; variable cost – 20,000; sales mix – 20% Compute the: A) break-even point in units B) break-even point in pesos C) if the company has a target profit of 1M, compute the number of units of each type of cooler that must be sold

Answers

A) The computation of the break-even point in units for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:

= Fixed costs/Weighted contribution margin per unit

                                Model X100     Model X950       Model X800

=                              3,000 units          771 units           1,350 units

              (1,080,000/$360)  (1,080,000/1,400)    (1,080,000/800)

B) The computation of the break-even point in pesos for Green Meadows, which makes three types of portable coolers, can be determined using the following break-even formula:

= Fixed costs/Weighted contribution margin per unit

                       Model X100              Model X950         Model X800

=               240 million pesos      11,416,490 pesos      32,432,432 pesos

              (1,080,000/0.45%)  (1,080,000/9.46%)    (1,080,000/3.33%)

C) If Green Meadows has a target profit of 1M, the number of units of each type of cooler that must be sold is determined using the following break-even formula:

= Fixed costs + Target Profit /Weighted contribution margin per unit

                                Model X100     Model X950            Model X800

=                               5,778 units       1,486 units             2,600 units

                    (2,080,000/$360)  (2,080,000/1,400)    (2,080,000/800)

What is break-even analysis?

The break-even analysis is an accounting technique used to determine the break-even point.

The break-even point shows the units or dollars that must be achieved so that the total revenue equals the total costs, both variable and fixed.

Data and Calculations:

Fixed cost = 1,080,000 pesos

                                     Model X100  Model X950    Model X800

Selling price                       8,800          14,800              24,000

Variable cost                      7,600         12,000               20,000

Contribution margin           1,200          2,800                  4,000

Sales mix                              30%             50%                    20%

Weighted contribution

 margin                               360           1,400                    800

Weighted contribution

 margin ratio                    0.45%         9.46%                  3.33%

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