The shape has an area of 60 square inches. Find the value of x.

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:

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: B) eight decreased by a number

Step-by-step explanation:

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

Hey!!

1 and 2 are vertical angles.

Vertically opposite angles are always equal to each other.

Hope it helps..

Answer:

D

Step-by-step explanation:

To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.

Side note: Choice A is listing the x values of each point, which is the domain.

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!

x5-2=18

I’m gonna rewrite the equation:

18=5x-2

5*4=20-2

X=4

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:

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: Joe has initial amount of $12 ( when he played no game).

Step-by-step explanation:

Given: Joe took $12 to the arcade. Each game cost $.50 to play.

This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]

Here,

Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.

Since y-intercept gives the initial value of the function when x=0.

To find y-intercept , we out x=0 in funtion , we get

[tex]y=-0.50(0)+12=12[/tex]

So , y-intercept of this function is at y=12.

Meaning of the y-intercept in the terms of this problem :

Joe has initial amount of $12 ( when he played no game).

Answer:

y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.

Step-by-step explanation:

Note : The given equation is not correct.

It is given that Joe took $12 to the arcade and each game cost $0.50 to play.

This situation can be modeled with the equation

[tex]y=0.50x+12[/tex]

where, y is total cost of playing x games.

We need to find y-intercept.

Substitute x=0 in the above equation to find the y-intercept of the equation.

[tex]y=0.50(0)+12[/tex]

[tex]y=0+12[/tex]

[tex]y=12[/tex]

So, the y-intercept is 12.

Here y-intercept represents the total cost if the number of games is zero.

It means y-intercept shows the fixed cost of arcade, i.e., 12.

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

Learn more about triangles here:

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Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

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:

y=-5x+44

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

2.5(4k+2) =12k

2.5*6k=12k

Answer: 2.5

Step-by-step explanation:

Answers:

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

Answer:

0.0625

Step-by-step explanation:

Data

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

Answer:5.17%

Step-by-step explanation:

_______________________________

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]

hope this helps

brainliest appreciated

good luck! have a nice day!

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:  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:

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:

(-3,-2)

Step-by-step explanation:

Rewrite first equation in slope-intercept form ( y = mx + b)

2x -y + 4 = 0

-y = -2x - 4

y = 2x + 4

Now rewrite second equation in slope intercept form

y = -x -5

Graph both equations on a calculator and you see that they intersect at (-3,-2)

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).

Answers:

Perimeter=6 units

Area=0 units ^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer: A

Angle a = Angle b since they are vertical angles

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°

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.

Learn more about radius here: https://brainly.com/question/390660

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Answer:

[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]

[tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]

[tex]csc(x)=2[/tex]

[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation:

(I'll just use x for ease of writing)

We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]

[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]

[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.

[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]

[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]

[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]

Step-by-step explanation: