A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%

What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°​

Answers

Answer 1

Answer:

B. 54°

Step-by-step explanation:

There are 360° in a circle and sector 4 consists of 15% of it.

We just have to multiply the 2 numbers.

15% = 0.15

0.15(360) = 54


Related Questions

You roll two six-sided dice. What is the probability that the sum will be even or a multiple of five? Round your answer to the nearest tenth of a percent.

Answers

Answer:

0.51

Step-by-step explanation:

Four students are painting a wall mural for their school.Each student paints 5/7 square yard of wall space.What is the total area of the wall mural that is being painted(ASAP PLEASE)

Answers

THATS WHAT IM ASKING TOO LOL

Please help me I have no idea how to solve!
Polynomial puzzle
Fill in the blank to complete the polynomial puzzle. Remember to ADD across to the right and ADD down to the bottom.

Answers

Step-by-step explanation:

It says add across to the right and add  down bottom

                                                                                  Add across

                               [tex]3x[/tex]                              [tex]2x^2[/tex]                 [tex]3x +2x^2[/tex]

                               [tex]x^2[/tex]                              [tex]5x[/tex]                    [tex]x^2 + 5x[/tex]

Add down            [tex]3x + x^2[/tex]                        [tex]2x^2 +5x[/tex]            [tex]3x^2 +8x[/tex]

Please help me with this

Answers

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

The value of the function at x=-1 can be found by substituting that value for x and doing the arithmetic.

  f(-1) = 1/3(-1)³ -(-1)

  f(-1) = -1/3 +1 = 2/3

The relative maximum value is 2/3.

F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box

Answers

Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Expand and combine like terms.
(6y^2+ 5y^4)^2

Answers

Answer:

36y⁴ + 60y⁶ + 25y⁸

Step-by-step explanation:

(6y² + 5y⁴)² = (6y² + 5y⁴)(6y² + 5y⁴)

we can use the FOIL method to get:

36y⁴ + 30y⁶ + 30y⁶ + 25y⁸

we can simplify the two middle terms and get:

36y⁴ + 60y⁶ + 25y⁸

Answer:

[tex]\left(6y^2+5y^4\right)^2[/tex]

[tex](6y^2+5y^4)^2=36y^4+60y^6+25y^8[/tex]

[tex]=\left(25y^8+60y^6+36y^4\right)[/tex]

[tex]=\left(36y^4+60y^6+25y^8\right)[/tex]

[tex]=36y^4+60y^6+25y^8[/tex]

---------------------------

hope it helps...

have a great day!!

Use the Function f(x)=6x-1 Which equation correctly describes f(b)?
a.) f(b)=6b-1
b.)= f(b)=6bx-1
c.)f(x)=6b-1
d.) b=6x-1

Answers

Answer:

a

Step-by-step explanation:

To obtain f(b) substitute x = b into f(x) , that is

f(b) = 6(b) - 1 = 6b - 1

f(x) and f(b) are very similar. The only difference is that in every place where x is in the function, we now will plug in b. This is just like plugging in a number. For example, if our function was f(x) and we had to plug in 4, it might look something like this: f(4). Very similar, and we know how to plug that number in.

Let's do the same thing with b.

f(x) = 6x - 1

f(b) = 6b - 1

Hope this helps!! :)

I need help! Will give Brainliest to right answer!

Answers

Answer:

(0,-7)

Step-by-step explanation:

a^2+B+c

c= y intercept.

therefore the answer is (0,-7)

Answer:

the y intersept is (0,-7)

Step-by-step explanation:

Overnight the temperature in Chicago was -7F but by noon it had risen to 9 degrees F. What was the temperature in Chicago that afternoon?

Answers

Answer:

2 °F

Step-by-step explanation:

Overnight temperature = -7 °F

Total Noon temperature = 9 °F

What was the temperature in Chicago that afternoon?

Temperature in Chicago that afternoon = Total Noon temperature + Overnight temperature

= 9 °F + (-7 °F)

= 9 °F - 7 °F

= 2 °F

Temperature in Chicago that afternoon = 2 °F

There are 20 teachers and 705 students in Corey's school. What is the ratio of teachers to students

Answers

Answer:

4/141

Step-by-step explanation:

simplify 20/705

Answer:

4/141

Step-by-step explanation:

Solve the expression for a=12 , b=6 and c=3

Answers

Answer: 24

Step-by-step explanation: First, you fill in the values for each letter; replace any a with 12, replace any b with 6, and replace any c with 3. Then, enter the equation into the calculator like so, and it should be equal to 24.

I hope this helps. Have a nice day.

Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from the drop-down menus to correctly complete the statements. Circle Q is Choose... units to the Choose... of circle P and Choose... units Choose..Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from the drop-down menus to correctly complete the statements. Circle Q is Choose... units to the Choose... of circle P and Choose... units Choose... it. Circle Q has Choose... circle P.. it. Circle Q has Choose... circle P.

Answers

Answer:

(a) Circle Q is 9.4 units to the center of circle P

(b) Circle Q has a smaller radius

Step-by-step explanation:

Given

[tex]P:(x - 1)^2 + (y + 6)^2 = 9[/tex]

[tex]Q:(x + 4)^2 + (y + 14)^2 = 4[/tex]

Solving (a): The distance between both

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]Center: (h,k)[/tex]

[tex]Radius:r[/tex]

P and Q can be rewritten as:

[tex]P:(x - 1)^2 + (y + 6)^2 = 3^2[/tex]

[tex]Q:(x + 4)^2 + (y + 14)^2 = 2^2[/tex]

So, for P:

[tex]Center = (1,-6)[/tex]

[tex]r = 3[/tex]

For Q:

[tex]Center = (-4,-14)[/tex]

[tex]r = 2[/tex]

The distance between them is:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

Where:

[tex]Center = (1,-6)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]Center = (-4,-14)[/tex] --- [tex](x_2,y_2)[/tex]

So:

[tex]d = \sqrt{(1 - -4)^2 + (-6 - -14)^2[/tex]

[tex]d = \sqrt{(5)^2 + (8)^2[/tex]

[tex]d = \sqrt{25 + 64[/tex]

[tex]d = \sqrt{89[/tex]

[tex]d = 9.4[/tex]

Solving (b): The radius;

In (a), we have:

[tex]r = 3[/tex] --- circle P

[tex]r = 2[/tex] --- circle Q

By comparison

[tex]2 < 3[/tex]

Hence, circle Q has a smaller radius

HelPpPPPpPp

(just send a comment if you want me to mak it larger)

Answers

The answer is b then b then a

The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently

Answers

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

HURRYYYY PLEASE!!! Does the graph of this equation open up or down?
f(x) = 22
- 5
O up
O down

Answers

Answer: Down

Step-by-step explanation:

down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Need help !! Slove for c

Answers

90 degrees because there is a shade which indicates that it is a right triangle

Find the value of y

Answers

(2y+98)° equals 49.

You factor out two from the expression.
= 49 , hope this helps :) .

Ahmad made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $19.20. If the beads cost a total of , $12.80,how much did each pendant cost?

give brainliest

Answers

$6.40
All beads and pendants = $19.20, and the beads equal $12.80, so 12.80 + ? = 19.20. So you would use the equation. 19.20 - 12.80, which equals 6.40.

Marta is building a scale model of the Empire State building which has a rectangular base. The scale on the model is 1 inch = 35 feet. Her model is 4 inches in length and 1 inch in width. What is the actual area, in square feet, of the base of the building?

Answers

Answer: The actual area of the base of the building is 4900 square feet.

Step-by-step explanation:

We have given, the scale on the model: 1 inch = 35 feet

In model,

Length= 4 feet , Width = 1 inch

As per scale ,

Actual length =  4 x 35 feet

= 140 feet

Actual width = 35 feet

Area of base of the building = Length x width

= 140 x 35

= 4900 square feet

Hence, the actual area of the base of the building is 4900 square feet.

plsss help with these 2 questions

Answers

#1.

For this problem, we can use Pythagorean Theorem (a^2 + b^2 = c^2, where a and b are the legs, and c is the hypotenuse). We are given C, the hypotenuse, and A, a leg of the triangle in this problem.

9^2 + b^2 = 41^2

81 + b^2 = 1681

b^2 = 1600

b = 40 feet

#2.

We will again use Pythagorean Theorem. We are given the height and the length of a leg in this problem.

33^2 + b^2 = 65^2

1089 + b^2 = 4225

b^2 = 3136

b = 56 inches

Hope this helps!! :)

V = 4p2

Find V when p = 3

Answers

Given = V= 4p²

and P= 3

V= 4×3²

V= 36.

yh

so

there is another answer, it is above me

What are the possible vaules of x it (4x-5)2=49?

Answers

[tex]\boxed{The\:value\:of\:x\:is\:7.375.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = \frac{59}{8} \\ ⇢x = 7.375[/tex]

Therefore, the value of x is 7.375.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex](4x - 5)2 = 49 \\ ⇢(4 \times 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 \times 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verifed.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

The possible value would be 7.375 let me know if it works!

Find the volume of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

169.6 m³

Step-by-step explanation:

the volume = 3.14 × 3² × 6

= 3.14 × 54 = 169.6 m³

HELP ME!! First to answer gets brainiest!!!

Answers

Answer:

11 1/5 minutes

Step-by-step explanation:

All you have to do is add up all the songs together.

3 1/2 = 3 30/60

2 57/60= 2 57/60

4 3/4 = 4 45/60

Add this all up

9 132/60

11 12/60

11 1/5

11 1/5 minutes

If this helps please mark as brainliest

the height in feet above the ground of an arrow after it is shot can be modeled by y=-16r^2+63r+4.Can the arrow pass over a tree that is 68 feet tall? Explain.

Answers

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

I need help on this one 2 pls !?

Answers

the area of the first shape is 4 times 12 which is 48 and the area of the second shape is 2 times 10 which is 20
48+20= 68 mi2

Answer: The answer is 60 mi^2

Step-by-step explanation:

please help asap, i need to get this done

Answers

Answer:

25.5 = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

17^2 + 19 ^2 = c^2

289+361 = c^2

650 = c^2

Take the square root of each side

sqrt(650) = sqrt(c^2)

25.49509757=c

To the nearest tenth

25.5 = c

Answer:

C = 25.5

Step-by-step explanation:

17² + 19² = x²

289 + 361 = x

289 + 361 = 650

√650 = 25.495097567963924150141120545114

25.495097567963924150141120545114 ≅ 25.5

2. One important factor in inventory control is the variance of the daily demand for a product. Management believes that demand is normally distributed with the variance equal to 250. In an experiment to test this belief about , the daily demand was recorded for 25 days. The data has been summarized as follows: xbar = 50.6 and s2 = 500 Do the data provide sufficient evidence to show that management's belief about the variance is untrue? (Use alpa=0.01 ).

Answers

Answer:

we reject H0 and conclude that management's belief about variance is untrue.

Step-by-step explanation:

H0 : σ² = 250

H1 : σ² ≠ 250

Sample size, n = 25

xbar = 50.6 ; s² = 500

α = 0.01 ;

The test statistic :

χ² = [(n - 1)s²] ÷ σ²

χ² = [(25 - 1)* 500] ÷ 250

χ² = (24 * 500) / 250

χ² = 12000 / 250

χ² = 48

The critical value:

df = n-1 ; 25 - 1 = 24

χ²(0.01/2 ; 24) = 45.559

Decison :

Reject H0 : if |χ² statistic| > critical value

Since 48 > 45.559

Hemce, we reject H0 and conclude that management's belief about variance is untrue.

Who would I solve this?

Answers

Perimeter = 73.6 in


Explanation:
Using the Pythagoras Theorem,
RU^2 = 15^2 + 5^2
RU^2 = 225 + 25
RU^2 = 250
RU = sqrt(250)
RU = 15.81 in

ST = RU = 15.81 in

UT = 5 + 16 = 21 in

RS = UT = 21 in

Perimeter = RU + ST + UT + RS = 15.8 + 15.8 + 21 + 21 = 73.6 in

what is the volume of a cube if the length, width, and height are 1ft?

a)6 cubic feet
b)3 cubic feet
c)4 cubic feet
d) 1 cubic foot

Answers

Answer:

The answer is D. 1 cubic foot.

Step-by-step explanation:

To solve for the volume of a cube, use the formula V= [tex]a^{3}[/tex]. This is the formula because the volume of a cube formula equals length times width times height. Since the length, width, and height are all the same values, the simplest volume of a cube formula is [tex]a^{3}[/tex].

Next, plug in the information from the question into the formula, which will look like V= [tex]1^{3}[/tex]. Then, solve the equation, and the final answer will be 1 cubic foot.

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