what is the area of the figure below?

A. 58 in^2
B. 63 in^2
C. 61 in^2
D. 53 in^2

Answer:

113mm^2

Step-by-step explanation:

Firstly work out the area of the pink circle using πr^2, which is the area of a process.

So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.

Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.

72π - 36π = 36π

36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2

Answer:

D : reflection over the y-axis followed by a translation to the right one unit

Answer:

7.6 ft

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

A hemisphere is 1/2 of  a sphere

V = 1/2 (4/3 pi r^3)

V = 2/3 pi r^3

920 = 2/3 pi r^3

Multiply each side by 3/2

920 * 3/2 = 3/2 * 2/3 pi r^3

1380 = pi r^3

Divide each side by pi

1380/pi = pi r^3 / pi

1380/ pi = r^3

Using pi as 3.14

1380/3.14 = r^3

439.4904459= r^3

Taking the cube root of each side

(439.4904459)^(1/3)= r^3^(1/3)

7.602967711=r

To the nearest tenth

7.6 = r

radius=7.6ft

Answer:

Solution given:

radius [r]=?

Volume of hemisphere=920ft³

⅔*πr³=920

r³=920*3/(2π)

r³=439.267

r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]

Answer:

B

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

(x + 1)(x + 4) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 1 = 0 ⇒ x = - 1

The x- intercepts are (- 4, 0 ) and (- 1, 0 )

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

Answer:

i think . it is c

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Product is multiply

h * 5 = 65

Divide 5 on both sides

h * 5 = 65

/5 /5

h = 13

Answer:

12.2

Step-by-step explanation:

Answer:

The distance from the house to the school is 500 units

Step-by-step explanation:

The distance we want to calculate represents the hypotenuse of the right triangle

So, to use the Pythagoras’ theorem, we need the two other side lengths apart from the hypotenuse

The base side measures (350-50 = 300 units)

The measure of the height is (450-50 = 400 units)

Mathematically, the theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have it that;

h^2 = 300^2 + 400^2

h^2 = 90,000 + 160,000

h^2 = 250,000

h = √250,000

h = 500 units

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

Answer:

28/43

Step-by-step explanation:

The question asks what is the probability that Marley picks out a blue or yellow marble.

In total, there are 43 marbles.

In total, there are 28 blue and yellow marbles. (18+10=28)

So, the answer would be 28/43

Hope this helps

4,756 rounded to the nearest thousand is 5,000.

Answer:

rounded to the nearest thousands 4,756 is 5,000 since 7 is higher then 4 so it rounds up

2×12=24

24+3= 27

12*12=144

144/24=6

Answer:

Part A

The width of the garden is approximately 3.987 meters

Part B

Please find attached the drawing of the solution

Step-by-step explanation:

Part A

The given parameters are;

The dimensions of the backyard of the home = 25 m by 30 m

The width of the garden to be built in the yard = Uniform width

The shape of the grass left inside = Rectangular

The area of the grass at the center = The area of the garden

Let 'x' represent the width of the garden, we have;

The length of the rectangular grass area at the center, l = 30 - 2·x

The width of the rectangular area of grass at the center, w = 25 - 2·x

The area of the rectangular backyard, A = 30 m × 25 m = 750 m²

The area of the rectangular backyard, A = (The area of the garden) + (The area of the rectangle of grass inside)

The area of the rectangle of grass, GA = (30 - 2·x)·(25 - 2·x) = The area of the garden

The area of the rectangular backyard, A = 750 = (30 - 2·x)·(25 - 2·x) + (30 - 2·x)·(25 - 2·x)  = 2 × (30 - 2·x)·(25 - 2·x) = 8·x² - 220·x + 1,500

∴ 750 = 8·x² - 220·x + 1,500

8·x² - 220·x + 1,500 - 750 = 0

8·x² - 220·x + 750 = 0

x = (220 ± √(220² - 4 × 8 × 750))/(2 × 8)

x ≈ 23.513, or x = 3.987

When x = 25.513, the width of the rectangle of grass inside, w = 25 - 2 × 23.513 = -22.026, which is not a natural (physically possible)

Therefore, the possible width of the garden, x ≈ 3.987

Part B

The drawing of the solution created with MS Visio is attached

Answer:

I think choose (c)

4x+1/x²-5

Answer:61

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

1. 1=4x-2-3x

2. 1=x-2

3. 1+2=x

4. 3=x

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

[tex]r=\frac{75.36in}{2\pi } = 11.99 in[/tex]

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

[tex]A=\pi r^2=\pi (11.99^2)=451.7in^2[/tex]

The area that covers the circular pizza is: 451.64 in.²

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

Learn more about the area of a circle on:

https://brainly.com/question/12269818

Answer:

Answer: d + n = 22 and 0.1 d + 0.05n = 1.9 Step-by-step explanation: Let d be the number of dimes and n the number of nickels. Total dimes = 22 Therefore, d + n = 22 1 dime = 10 cents = 0.1 1 nickel = 5 cents = 0.05 Value of 22 dimes = $ 1.90 So , 0.1d + 0.05n = 1.9 Therefore, d + n 22 and 0.1d + 0.05n = 1.9 models the given% D% 3D situation. Leave a comment Send It might interest you

Answer:

B. d + n = 22 and 0.1 d + 0.05n = 1.9

Step-by-step explanation:

Answer:

3x-2=25

x=9. .

Answer:

9

Step-by-step explanation:

Answer:

The first one is correct

Step-by-step explanation:

If both sides of the expression are equal, any number given as X would fit, meaning that there are infinitely many solutions.

Answer:

huh

Step-by-step explanation:

?

The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]

An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.

Time period = x years

The number of archaeological sites discovered in a country  in x years = S(x) = [tex]2(1.1)^{x}[/tex]

The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]

The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]

Learn more about exponential function here

https://brainly.com/question/11487261

#SPJ2

Answer:

If Y was the center, it wouldn't be possible for a circle to pass through all 3 points; L, M and N. Statement 4 is the true answer, as it is possible for a circle to pass through all 3 points; D, E and F if Y was the center. Also, Y is the circumcenter of triangle DEF, so this statement must be true.

Answer:

25.5 / 3 = 8.5

Step-by-step explanation:

8.5 times more student prefer basketball over soccer

Answer:

d

Step-by-step explanation:

The slope of a line often referred to as the ([tex]\frac{rise}{run}[/tex]) is the rate of change in a line. It can be found using the following formula.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. For each problem, substitute the points on the line into the formula and solve for the slope.

1. [tex]\frac{1}{2}[/tex]

(0, 2), (-2, 1)

[tex]=\frac{1-2}{-2-0}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]

2. 2

(-2, -1), (0, 3)

[tex]=\frac{3-(-1)}{0-(-2)}\\\\=\frac{3+1}{0+2}\\\\=\frac{4}{2}\\\\=2[/tex]

3. 4

(1, 0), (2, 4)

[tex]=\frac{4-0}{2-1}\\\\=\frac{4}{1}\\\\=4[/tex]

4. 1

(6, 2), (2, -2)

[tex]=\frac{-2-2}{2-6}\\\\=\frac{-4}{-4}\\\\=1[/tex]

5.[tex]\frac{3}{5}[/tex]

(-1, 1), (4, 4)

[tex]=\frac{4-1}{4-(-1)}\\\\=\frac{3}{4+1}\\\\=\frac{3}{5}[/tex]

6. [tex]\frac{1}{3}[/tex]

(-7, 4), (2, 1)

[tex]=\frac{4 -1}{2-(-7)}\\\\=\frac{3}{2+7}\\\\=\frac{3}{9}\\\\=\frac{1}{3}[/tex]

7. 0

(5, -3), (-2, -3)

[tex]=\frac{-3-(-3)}{-2-5}\\\\=\frac{-3+3}{-7}\\\\=0[/tex]

8. [tex]\frac{7}{5}[/tex]

(-3, 2), (2, 7)

[tex]=\frac{7-2}{2 - (-3)}\\\\=\frac{7}{2+3}\\\\=\frac{7}{5}[/tex]

9. 8

(2, 16), (3, 24)

[tex]=\frac{24-16}{3-2}\\\\=\frac{8}{1}\\\\=8[/tex]