Help I need help on this

Answer:

the radius of the sphere is 12 cm.

Step-by-step explanation:

IN A CONE

vertical height (h) = 27 cm

radius (r) = 32 / 2 = 16 cm

Now the volume of cone is

= 1/3 *h*π*r²

= 1/3 * 27 *π *16²

= 2304π cm³

Also by the question the cone and the sphere have equal volumes so

volume of sphere = volume of cone

                             = 2304 π cm³

OR, 4/3 πr³ = 2304 π

4/3 * r³ = 2304

r³ = 2304 * 3 / 4

r³ = 1728

r = ∛1728

r = 12 cm

hope it helps :)

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

203

Step-by-step explanation:

Answer:

∑ᵢ⁷₌ ₁(7+8i)

Explanation:

In order to write a series in sigma notation you must:

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

volume = 684π m³ or 2148.85 m³

Step-by-step explanation:

volume = (π6² x 11) + (4/3π6³) = 396π + 288π = 684π m³ or 2148.85 m³

Answer:

1.3845  

Step-by-step explanation:

i used this formula in the screenshot

and you can also try using calculator websites

Answer:

Shirt : Pant = 2 : 3 ,  & Pant : Shirt = 3 : 2 , Linear model can be used.

Step-by-step explanation:

Ratio of ' Number of shirts sold : Number of items sold' = 2 : 5

Let the common ratio be = x

Then, number of shirts sold = 2x. And, number of total items sold = 5x.

So, number of pants sold = Number of items sold - number of shirts sold = 5x - 2x = 3x

So, shirt to pant ratio = 2x / 3x = 2 : 3 .And,  pant to shirt ratio = 3 : 2

This model can be shown in linear equation, as all are linear powered.

Answer:

Step-by-step explanation:

Answer:1630.9 cm

v=4/3πr^3

radius =9.2

Plug in

4/3π(9.2)^3

3261.76066-

Volumenof hemisphere Half of volume of spehere

3261.76066698/2

=1630.9 cm^3

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

Answer:

w + 1.3 = 2.7

So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.

So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.

The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.

I always forget supplementary vs complementary, but a little bit of practice will help a lot.

Answer:

56.73 ft

Step-by-step explanation:

Given:

51° (angle)

73ft (hypotenuse)

With the given information use sin to determine the height of the kite.

sin51° = x/73

solve for x (height)

x= 73*sin51°

x= 56.73ft

Answer:

A

Step-by-step explanation:

Answer:

31.4in

Step-by-step explanation:

In order to solve this, we need to know that circumference of a circle is equal to its diameter times "pi" (a mathematical constant). So we just do...

(π)(10in) ≅ 31.4in (rounded to the nearest tenth)

Answer:

x=7

Step-by-step explanation:

since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

0.615

Step-by-step explanation:

Just round up.

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer: 3 and 6

5 and 4

Step-by-step explanation:

3 and 4 are congruent to 5 and 6

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

x = y = [tex]\sqrt{7\\}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} ^{2} + \sqrt{7} ^{2} = \sqrt{14}^{2}\\7 + 7 = 14[/tex]

Answer:

Option 3  (lower left)

Step-by-step explanation:

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

Step-by-step explanation:

13.

 P= 19.42mm

  A= 18.32mm²

Answer:

Half of 6 is 3(new radius)

2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42

2 + 2 + 2 = 6

6 - 2 = 4

Add lengths:

9.42 + 6 + 4 = 19.42 mm is your perimeter

2 x 2 = 4

3^3 = 9

9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13

Add areas:

4 + 14.13 = 18.13 mm2 is your area

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15