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°​

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

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.

Answer:

I only know this much.....

A) Deepthi has won the election.

B) Rashmi got minimum number of votes.

Answer: The answer is 60 mi^2

Step-by-step explanation:

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!! :)

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

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

[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]

Answer:

0.51

Step-by-step explanation:

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.

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]

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

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!!

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:

#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!! :)

Answer:

169.6 m³

Step-by-step explanation:

the volume = 3.14 × 3² × 6

= 3.14 × 54 = 169.6 m³

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.

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.

Given = V= 4p²

and P= 3

V= 4×3²

V= 36.

yh

so

there is another answer, it is above me

Answer: Down

Step-by-step explanation:

down nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answer:

4/141

Step-by-step explanation:

simplify 20/705

Answer:

4/141

Step-by-step explanation:

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

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.

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