Simplify the expression. Write your answer as a power.
6^10/6^4

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:

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:

0.615

Step-by-step explanation:

Just round up.

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:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Step-by-step explanation:

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

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

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:

Step-by-step explanation:

This is just simple addition so there really isn't anything to talk about.

Just note that -5 1/2+6 3/4=1 1/4.

Then, we do 1 1/4+(-4 1/4)

This is just -3.

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

Answer:0.47

Step-by-step explanation:

Answer:

its b i just took this on a p 3 x  :))

Step-by-step explanation:

Answer:

the answers are b and c

Step-by-step explanation:

b

[tex]12x + 24y = \\ 4(3x + y)[/tex]

c

[tex]2(6x + 12y) = \\ 12x + 24y = \\ 4(3x + 6y)[/tex]

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:

C

Step-by-step explanation:

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:

Sea Travels

Step-by-step explanation:

Hope this helps

Answer:

Crossing a land bridge.

Step-by-step explanation:

We that what I think they would do.

Answer:(2) (3) (4)

Step-by-step explanation:

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:

203

Step-by-step explanation:

Answer:

∑ᵢ⁷₌ ₁(7+8i)

Explanation:

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

Answer:

The awnser is 2432

Step-by-step explanation:

12x28x22= 2432

Answer:

1. 2

2. 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Step-by-step explanation:

1. |4−2| (simplified)

= |2|

=2

2. 2a^2 = 5.2

(22)(1.3)

=(4)(1.3)

=5.2

(2.6 - (2*1.3))=

5.2 - (2.6 - 2.6) = 5.2

3. (c * 2) - 3= a

4. ($85 + $35 * h)

Answer:

(3,2)

Step-by-step explanation:

3x-2y=5

x+2y=7     Add them up

4x=12     Solve for x

x=3

3+2y=7   Plug it back into either one of the parent functions and solve for y

2y=4

y=2

(3,2) That's the point where the two lines intersect each other.

Answer:

a = 0, b = 7

a = 1, b = 6

a = 2, b = 5

a = 3, b = 4

a = 4, b = 3

a = 5, b = 2

a = 6, b = 1

a = 7, b = 0

Step-by-step explanation:

the sum of a and b must equal 7 because 4 x 7 = 28

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:

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:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

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:

<1 = 112degrees

<2 = 33degrees

Step-by-step explanation:

From the figure, the sum of interior angles of the larger triangle is equal to the exterior, hence;

<1 + 15 = 127

<1 = 127 - 15

<1 = 112degrees

For the smaller triangle;

<1 = <2 + 79

112 = <2 + 79

<2 = 112-79

<2 = 33

Hence the measure of <2 is 33degrees