Find the area of the circle. Round your answer to two decimal places, if necessary.​

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

Answer:

Step-by-step explanation:

17/60 = 0.2833333333.....  3 repeating

25/60 = .025  terminating

31/44 = 0.7045454545.....   45 repeating

54/72 = 0.75    terminating

Answer:

D. - 3 ≤ x < 1

Step-by-step explanation:

The numerator cannot be the square root of a neg. no.

So, x + 3 ≥ 0 or x ≥ -3

The denominator cannot be a neg. no. or 0.

So, 1 - x > 0

1 > x or x < 1

So, altogether - 3 ≤ x < 1

Therefore, D is the correct answer.

HOPE IT MAY HELP YOU

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Answer:

882

Step-by-step explanation:

If it's over .5 you round up, if It's .4 or under you round down.

5.5 rounded to the nearest whole number is 6.

5.4 rounded to the nearest wholee number is 5.

Answer:

is B. 75

Step-by-step explanation:

x+26=101

x=101-26

:. x=75

[tex]\huge\boxed{\fcolorbox{lime}{yellow}{ B. \:75}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]x + 26 = 101[/tex]

[tex]➺ \: x = 101 - 26[/tex]

[tex]➺ \: x = 75[/tex]

Therefore, the value of [tex]x[/tex] is 75.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: x + 26 = 101[/tex]

[tex]➺ \: 75 + 26 = 101[/tex]

[tex]➺ \: 101 = 101[/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

A and B and E.And sorry if I get it wrong.

Answer:

y=40°

Z + Y = 70°

z. = 70°-40°

z. = 30°

POH=X

=180-70

=110°

Answer:

table:

x = -2 , y = 5

x = 0 , y = -3

x = 1 , y = -4

x = 3, y = 0

b

i. line A

ii. y = -1,5

iii. x = -1.25

Step-by-step explanation:

as from the table

Step-by-step explanation:

the last one takes allot of steps but I tried those

Answer:

You did give anything to solve

Step-by-step explanation:

x⁶ is just a single term

If you had posted an equation like

x⁶ = 64

Take the cube root of both side

x² = 4

Take the square root of both sides

x = ± 2

Answer:

30%

Step-by-step explanation:

Let's say he has 100% income

Spends 70%

Remaining=100-70=30%

Step-by-step explanation:

total percentage = 100%

total percentage spend = 70%

remaining percentage = 100% — 70% = 30%

Answer:

800 = 1/3(B)(46)

Step-by-step explanation:

Volume of a cone is [tex]1/3pir^2h[/tex]

we can set up an equation where V = 1/3pir^2h

Knowns :

V = 800

h = 46

Plug the knowns into the equation

800 = 1/3(pir^2)(46)

pir^2 is the area of a circle, which in this case is B

hope this helps

The equation which can be used  to find the area of the circular base is 800 = 1/3(πr²)(46)

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  circular cardboard piece is needed for the base of a volcano model.

The volcano is 46 centimeters tall and has a volume of 800 cubic centimeters.

We have to find the equation which can be used to find the area of the circular base.

Volume of a cone is 1/3πr²h

V= 1/3πr²h

Plug in the values of volume and height in the above formula

V = 800

h = 46

800 = 1/3(πr²)(46)

Hence, the equation which can be used  to find the area of the circular base is 800 = 1/3(πr²)(46)

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Answer:

I am not 100% sure but like 75 % sure its A,c , and e

Step-by-step explanation:

Answer:

a+b

Step-by-step explanation:

you have to multiply

7(3a-2b)                  5(3b-4a)

7x3=21                     5x3=15

7x2=14                      5x4=20

(21a-14b)                   (15b-20a)

add them

21a-14b+15b-20a

21a-20a=1a

-14b+15b=1b

1a+1b

Answer:

33 blooms

Step-by-step explanation:

This can be set up by an equation. x represents the number of days and y represents the number of corresponding blooms. y = 3x + 12 is the equation, as 3 is the rate of change and 12 is the initial amount. One week is 7 days, so 7 can be plugged in for x. 21 + 12 = 33, so after one week, Debbie has 33 blooms.

Answer:

D. All squares are parallelograms. (Correct)

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

Given:

The endpoints of a line segment QS are Q(-6,2) and S(5,6).

Point R divides the line segment QS in 1:2.

To find:

The coordinates of point R.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

It is given that the endpoints of a line segment QS are Q(-6,2), S(5,6) and point R divides the line segment QS in 1:2. So, the coordinate of point R are:

[tex]R=\left(\dfrac{1(5)+2(-6)}{1+2},\dfrac{1(6)+2(2)}{1+2}\right)[/tex]

[tex]R=\left(\dfrac{5-12}{3},\dfrac{6+4}{3}\right)[/tex]

[tex]R=\left(\dfrac{-7}{3},\dfrac{10}{3}\right)[/tex]

Therefore, the coordinates of point R are [tex]\left(\dfrac{-7}{3},\dfrac{10}{3}\right)[/tex].

Answer:

the teacher will win becasue there are less numbers of colors to choose from one of the catagories then there are in total.

Step-by-step explanation:

Answer:

7 strips

Step-by-step explanation:

One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips

Answer:

Yes, I agree

Step-by-step explanation:

See attachments for cone

Cone A

[tex]h = 2r[/tex]

Cone B

R = 2r

[tex]h=r[/tex]

The volume of a cone is

[tex]V = \frac{1}{3}\pi r^2h[/tex]

For cone A, we have:

[tex]V = \frac{1}{3}\pi r^2*2r[/tex]

[tex]V_A = \frac{2}{3}\pi r^3[/tex]

For cone B, we have:

[tex]V = \frac{1}{3}\pi *(2r)^2 * r[/tex]

[tex]V = \frac{1}{3}\pi *4r^2 * r[/tex]

[tex]V_B = \frac{4}{3}\pi r^3[/tex]

So, we have:

[tex]V_B = 2 * \frac{2}{3}\pi r^3[/tex]

Substitute [tex]V_A = \frac{2}{3}\pi r^3[/tex]

[tex]V_B = 2 * V_A[/tex]

Make VA the subject

[tex]V_A = \frac{1}{2}V_B[/tex]

Hence, I agree with Ahmad

Answer:

-k

Step-by-step explanation:

Cos(140)=cos(180-40)=-cos(40)=-k

Answer:

Step-by-step explanation:

Sin (90 - A)  = Cos A

Cos (90 + A) =   -Sin A

Sin 50 = Sin (90 - 40)

          = Cos 40

         = k

Cos 140 = Cos (90 + 50)

             = - Sin 50

            = (- k)

Answer:

n=0.05

0.00036km

Step-by-step explanation:

a)

20:1

1:0.05

n=0.05

b)

1:25000

0.00036:9

0.00036km

Answer:

shhsksbsvsvdbdhsbs. c

9514 1404 393

Answer:

  (d)  -3

Step-by-step explanation:

Put the number into the expression and do the arithmetic.

  f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7

  f(g(-2)) = -3

Answer:

B. MN, NO, OM

Step-by-step explanation:

Recall: In any triangle, the sides and the angles are related in the following way:

*The largest angle and the longest side are opposite each other

*The medium angle and the mid-sized side are opposite each other

*The smallest angle and the shortest side are opposite each other

In ∆MNO, we are given that

m<M = 57° which is opposite to side NO

m<N = 75° which is opposite to side OM

m<O = 180° - (75° + 57°) (sum of triangle)

m<O = 48° which is opposite to side MN

Therefore, we can write the order of shortest to longest side in relation to their opposite angles as follows:

MN, NO, OM

Answer: (a)

Step-by-step explanation:

Suppose the original function is [tex]y=\left | x \right |[/tex]

To shift it 2 units right, replace x by x-2 such that

[tex]\Rightarrow x-2=0\\\Rightarrow x=2[/tex]

So, the function becomes [tex]y=\left | x -2\right |[/tex]

Answer: (C) 308 cm^2

Step-by-step explanation: Flat surface area is the surface area that is not curved; in this case, it would be the two circular bases. The height is arbitrary as the height is not needed to calculate the area of the bases. The formula for the area of circular bases is πr^2. Let's plug the given values into the formula. (22/7)(7)^2=(22/7)(49)=154. 154 cm^2 is the area of one base. To find the area of both bases, simply multiply the area of one base by two. 154*2 is 308, therefore the answer is (C) 308 cm^2.

Answer:

x = -3

Step-by-step explanation:

Answer: x = 11.6

Step-by-step explanation: 11.6 - 7.5 = 4.1

Answer:

500ml orange juice is the most cost effective

Answer:12

Step-by-step explanation:

Based on the calculations, the number of degrees that the auto-aim feature would adjust the shot is 12°.

Based on the triangle attached in the image above, we can deduce the following parameters:

Side AT = 15 m.

Side CA = 50 m.

Side CT = 60 m.

In this scenario, we would apply the cosine trigonometry function by using this mathematical expression:

AT² = CA² + CT² - 2(CA)(CT)COSθ

15² = 50² + 60² - 2(50)(60)COSθ

225 = 2500 + 3600 - 6000COSθ

6000COSθ = 6100 - 225

6000COSθ = 5875

θ = COS⁻¹(5875/6000)

θ = COS⁻¹0.9792

θ = 11.72 ≈ 12°

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