The area of a sector with a central angle of 30' is 150'. Determine the approximate length of the diameter.

Answer:

Step-by-step explanation:

Part A

x-intercepts of the graph represent the value of goods at which profit of of the company is zero → Break even of the company

Maximum value of the graph represents the maximum profit of the company at certain price of the goods.

Part B

Interval in which the function is increasing → x = 0 to x = $3

Profit of the company increases when price of the goods increase from 0 to 3.

Interval in which the function is decreasing → x = $3 to x = $6

Profit of the company decreases when the price of the goods increases from 3 to 6.

Part C

Average rate of change of the function from x = a and x = b,

= [tex]\frac{f(b)-f(a)}{b-a}[/tex]

By applying the same rule,

Average rate of change of the function between x = 1 and x = 3

= [tex]\frac{120-60}{3-1}[/tex]

= [tex]\frac{60}{2}[/tex]

= 30

Answer:

1260

Step-by-step explanation:

212x3=636

104x6=624

636+624=1260

Answer:

She will receive $14.85

Step-by-step explanation:

$3.95+$1.20=$5.15

$20-5.15=$14.85

Therefore the answer is $14.85

Hope that Helps

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

Answer:

$14.59

Step-by-step explanation:

commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.

Answer:

It will be 63.9

Step-by-step explanation:

Trust me, I got it right

Answer:

63.6mm² (the last option)

Explanation:

the formula for calculating the area of a circle is πr², where r is the length of the radius.

in this case, we know that 9mm is the length of the diameter of the circle, so we can divide that by 2 to get 4.5mm for the length of the radius.

the question has instructed us to use 3.14 for π (pi), so we can substitute these values into the formula:

πr² = 3.14 × 4.5² = 63.585mm²

we can now round this to the nearest tenth to get 63.6mm², which would be the last option.

i hope this helps! :D

Answer:

3 x 7 and 1/6 = 21 and 1/126

Step-by-step explanation:

your going to multiply 3x7 then you get 21 then you multiply by 1/6 and there you go.

Answer:

d

Step-by-step explanation:

Answer:

550 sit-ups

Step-by-step explanation:

Given

See attachment for chart

Required

Number of sit-ups on March 11

Represent the number of sit-ups with x and the days with y.

So:

[tex](x_1, y_1) = (1,50)[/tex] --- May 1

[tex](x_2, y_2) = (2,100)[/tex] --- May 2

First, we calculate the slope of the line chart.

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

[tex]m = \frac{100 - 50}{2-1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we calculate the equation using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 50(x - 1) + 50[/tex]

[tex]y = 50x - 50 + 50[/tex]

[tex]y = 50x[/tex]

So, on May 11.

[tex]x= 11[/tex]

Substitute 11 for x

[tex]y = 50 * 11[/tex]

[tex]y = 550[/tex]

Answer:

Wages she earn = £124.1

Step-by-step explanation:

Given:

Number of hour work in June = 17 hour

Rate = £7.30 per hour

Find:

Wages she earn

Computation:

Wages she earn = Number of hour work in June x Rate

Wages she earn = 17 x £7.30

Wages she earn = £124.1

Answer

-[tex]\frac{7}{2\\}[/tex]

Step-by-step explanation:

Answer:

-7/2 or -3.5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

A: 1

B: 5

Scale is 1:5

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

Given the scale factor is 5 , then

the scale factor of areas is 5² = 25

Then A is [tex]\frac{1}{25}[/tex] of B's area

Answer:

[tex]x=\frac{3}{4}=0.75[/tex]

Step-by-step explanation:

From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.

In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:

[tex]4x+5=8[/tex]

[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])

[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

Answer:

x = 5

Step-by-step explanation:

6x and 30 are vertically opposite angles and are congruent, then

6x = 30 ( divide both sides by 6 )

x = 5

Answer: 9

Step-by-step explanation:

Given

The dimension of a rectangular prism is

[tex]L=2\ in[/tex]

[tex]W=112\ in.[/tex]

[tex]h=114\ in.[/tex]

Volume of Prism [tex]V=L\times W\times h[/tex]

[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]

The volume of the unit cube

[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]

Suppose there are n unit cubes to fit in a rectangular prism

[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]

Answer:

21 Kg

Step-by-step explanation:

Divide 56 Kg by 8 and multiply the answer by 3 , that is

56 Kg ÷ 8 = 7 Kg , then

3 × 7Kg = 21 Kg

I have attached an image showing the graph of the function.

Answer:

Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.

Step-by-step explanation:

First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.

Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.

This means that f(x) = 0 at x = 15 and at x = 70.

Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.

Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70

Answer:

Step-by-step explanation:

y+ 20= x+ 15( Vertically opposite angles)

y+ 20- 15= x

x= y+ 5 __(1)

3x+ 5=4y- 15

Substituting (1)

3(y+5)+ 5= 4y-15

3y+15+5=4y- 15

y=15+20

y= 35

x= 40

Answer:

Population: 38.64. Sample: 43.20

Answer:

IT IS B ANSWER

Answer:

327 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then

SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)

     = (2 ×76) + (2 × 40) + (2 × 47.5)

     = 152 + 80 + 95

     = 327 cm²

Answer:

Step-by-step explanation:

SA = 2B + LA         B = area of base        LA = lateral area

B = area of the rectangle with length of 9.5 and width of 5

  = 9.5(5) = 47.5

LA = perimeter of base times the height

    = [2(9.5) + 2(5)] (8)

    = (19 + 10)(8)

    = 29(8)

    = 232

SA = SA = 2B + LA  = 2(47.5) + 232

     = 95 + 232

     = 327 sq cm

ok the answer is b

Step-by-step explanation:

Answer:

.16

Step-by-step explanation:

5 by 30 and you get your answer

Answer:

Slope is -3

Equation is y = -3x + 2

Step-by-step explanation:

(0 , 2) and ( -1 , 5)

m= (y2-y1)/(x2-x1)

m= (5 - 2)/(-1 -0)

m= 3/-1

m= -3

y - y1 = m(x - x1)

y - 2 = -3(x - 0)

y - 2 = -3x + 0

y = -3x + 2

Answer:

x = 10

Step-by-step explanation:

Use Pythagorean Theorem

c2 = a2 + b2

Here you must find the hypotenuse length (x) which is c in the equation. Thus substitute the values given into the equation:

c2 = 6^2 + 8^2

c2 = 100

Square root both sides so

c = 10

Thus length of x is 10

Answer:

22/35

Step-by-step explanation:

width/length = 66/105 = 22/35

Answer:

66/105

it says width to the​ length

not length to length

Answer: Chnager your profile pic

Step-by-step explanation:

Answer:

noooooo nittt

Step-by-step explanation:well urv gay

Answer:

11%

Step-by-step explanation:

60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.

The bill is $54.

6/54 = 0.1 recurring

0.1 × 100 = 11.1%

11% is the percentage.

I hope that helps!! ^-^