A sector has a central angle of 110° and an area of 11pi m squared. What is the arc length for this sector?

The measure of the angle is ∠ADB=60

The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°

Given here: ∠A =∠B=60

By triangle sum property we must have ∠A +∠B+∠D=180

                                                                                 ∠D=60

Thus the triangle must be an equilateral triangle with all its angles equal to 60

Hence, The measure of the angle is ∠ADB=60

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Answer:

Lindsey got 70% on this assignment.

Step-by-step explanation:

21 divided by 30 equals 0.7 which is 70% in percent form.

Answer:

She earned a seventy percent.

Step-by-step explanation:

You set the problem up like  21/30 = x/100.

Then, you cross multiply and you get 30x=2100.

From there, you divide each side by thirty and then you get x = 70.

And that brings you to 70 percent. Hope this helps!

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Hey!!

Solution,

Length(l)=9 inches

Volume of cube=?

Now,

Volume of cube= (L)^3

=(9)^3

=729 inches^3

Hope it helps...

Good luck on your assignment

_____________________________

Answer:

[tex]729 {in}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ [/tex]

[tex]v = x \times x \times x \\ = {x}^{3} \\ = {9}^{3} \\ = 9 \times 9 \times 9 \\ = 81 \times 9 \\ =72 9[/tex]

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Answer:

last option

Step-by-step explanation:

We know that a₁ (or the first term) = 4 so we can rule out the second and third options. d (or the common difference) = 8 (because 4 + 8 = 12, 12 + 8 = 20 and so on) so our answer is the last option.

Answer:

supplementary

Step-by-step explanation:

Answer:

Congruent Complement Theorem

Explanation:

I also had virtualsc, and this was the answer I chose, and it was correct.

Answer:

-48

Step-by-step explanation:

First You put The question in Order

HOPE THIS HELP

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Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

Answer: a) Cost(x) = $9.50 + $15*x

b)  $84.50

Step-by-step explanation:

a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.

We have:

A fixed $9.50 (this does not depend on the number of members in the family)

and $15 for each member, so the equation that represents this is:

Cost(x) = $9.50 + $15*x

b) now we have x = 5, then:

Cost(5) = $9.50 + $15*5 = $84.50

Answer:

a. y = 9.50 + 15a

b. total cost(y) = 84.5

Step-by-step explanation:

Brandon decided to take his family to a water park to celebrate the end of the school year.

The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .

a. The linear equation can be expressed below.  The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)

let

a = number of person for the entire day

total cost  = y

y = 9.50 + 15a

b. To find the cost for a whole family of 5 member can be calculated below.

Using the linear equation

total cost = 9.50 + 15a

total cost = 9.50 + 15(5)

total cost = 9.50 + 75

total cost(y)= 84.5

Answer:

it's a 152

Step-by-step explanation:

The surface area of the rectangular prism is S = 232 inches²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

A serving tray is in the shape of a rectangular prism without a top.

And , dimensions of the tray are 8 inches by 10 inches by 2 inches.

So , surface area A = 2(80) + 2(16) + 2(20)

A = 160 + 32 + 40

A = 232 square inches

Hence , the surface area is 232 inches²

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Answer:

-3x

Step-by-step explanation:

The term that goes in the box is

x * -3

-3x

Answer: B) eight decreased by a number

Step-by-step explanation:

decreased = subtraction, therefore, eight decreased by a number is 8 - m.

Answer:

3 b 11 6

Step-by-step explanation:

3 b 1 2 ⋅ b 4 3

Move  

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule  

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write  

4 3

as a fraction with a common denominator, multiply by  

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write  1 2

as a fraction with a common denominator, multiply by  

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of  

6

, by multiplying each by an appropriate factor of  

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

Answer:Decreasing

Step-by-step explanation:

Focus only on the 8-10 interval for x. Note that for x=8 , y=1, for x=9, y=0 and for x=10, y=-1. Y is obviously decreasing for [tex]8<x<10[/tex] .

Answer:

Radius, r = 3.8 inch

Step-by-step explanation:

A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift.

We need to find the maximum radius of the ball that Jimmy can wrap. The volume of a spherical shaped object is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

r = radius of the ball

[tex]r=(\dfrac{3V}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 232.2}{4\times 3.14})^{1/3}\\\\r=3.8\ \text{inch}[/tex]

So, the maximum radius of the ball that Jimmy can wrap is 3.8 inches. Hence, this is the required solution.

The maximum radius of the ball that Jimmy can wrap is 3.8 inches.

The maximum radius of the ball is calculated from volume of a sphere.

V = ⁴/₃πr³

where;

232.2 = ⁴/₃πr³

3(232.2) = 4πr³

696.6 = 4πr³

r³ = 696.6/4π

r³ = 55.433

r = (55.433)^¹/₃

r = 3.8 in

Thus, the maximum radius of the ball that Jimmy can wrap is 3.8 inches.

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Answer:

y=45x+75

Step-by-step explanation:

The x represents the months and the one time fee is added

Answer:

x = 10°

y = 35°

Step-by-step explanation:

9x + 20 + 7x = 180 (supplementary angles)

16x = 180 - 20

16x = 160

x = 10°

2y = 7x ( opposite angles)

2y = 70

y = 35°

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

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Good luck on your assignment

Answer:

Step-by-step explanation:

y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.

f(x) = 5x = y(x).

Answer:  the slope is up 1 and to the right 2, or if your going the opposite direction it would be down 1 and to the left 2

Answer:

1/2

Step-by-step explanation:

Slope is change in y over change in x.  The change in Y is 2.5 - 1= 1.5 .The change in X is 1 - (-2)= 3 .  Therefore, the slope is 1.5/3 which simplifies to 1/2

Answer:

see explanation

Step-by-step explanation:

The length of the arcs are calculated as

arc = circumference of circle × fraction of circle

(13)

arc = 2πr ×[tex]\frac{72}{360}[/tex]

      = 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units

(14)

arc = 2π × 2 × [tex]\frac{270}{360}[/tex]

      = 4π × [tex]\frac{3}{4}[/tex] = 3π units

Answer:

its 65

Step-by-step explanation:

Answer:

756.5 =x

Step-by-step explanation:

To find the perimeter of a rectangle

P = 2 (l+w)

4533 = 2 ( x+3  + 2x-6)

Combine like terms

4533 = 2 ( 3x -3)

Distribute

4533 = 6x -6

Add 6 to each side

4533+6 = 6x

4539 = 6x

Divide by 6

4539/6 =x

756.5 =x

Answer:

177.82397947 ft

Step-by-step explanation:

to find height of of the pole:

tan(44 degrees)=x/180

add the height of the person

x=(180tan(44 degrees) )+4

x=177.82397947 ft

now, round to what point you need to

x5-2=18

I’m gonna rewrite the equation:

18=5x-2

5*4=20-2

X=4

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

x = -2

y = 1

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

Considering the given point of (0,0), to find the value of b:

The line is:

b)Slope of 2 through the point (0,−3)

Solving as above:

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

Answer:

$584.28

Step-by-step explanation:

first, add up the yards around the perimeter of the bakery. 10 + 10 + 17 + 17 = 54. Then, multiply 54 by 10.82 to get the cost of the shelf.

54 x 10.82 = 584.28

Answer:

C =31.4 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14 * 5

C =31.4 inches

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Solution,

Radius(r)=5 inches

Circumference of the circle=?

Now,

Circumference of circle= 2 pi r

=2*3.14.5

=31.4 inches.

Hope it helps...

Good luck on your assignment

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