The radius of a sphere is 6 units.




Which expression represents the volume of the sphere, in cubic units?

Three-fourthsπ(6)2
Four-thirdsπ(6)3
Three-fourthsπ(12)2
Four-thirdsπ(12)3

Answer: 30%

Step-by-step explanation:

Answer:

The difference is

Step-by-step explanation:

Given

Large triangle

[tex]Base = 5cm; Height=9cm[/tex]

Small triangle

[tex]Base = 2cm; Height=6cm[/tex]

See attachment for logo

Required

The difference in their areas

Area is calculated as:

[tex]Area = 0.5 * base * height[/tex]

For the large triangle

[tex]Area = 0.5 * 5cm * 9cm[/tex]

[tex]Area = 22.5cm^2[/tex]

For the small triangle

[tex]Area = 0.5 * 2cm * 6cm[/tex]

[tex]Area = 6cm^2[/tex]

The difference (d) is calculated as:

[tex]d = 22.5cm^2 - 6cm^2[/tex]

[tex]d = 16.5cm^2[/tex]  

Given:

A line passes through the points (9,9) and [tex](x_2,-1)[/tex].

The slope of the line is [tex]\dfrac{5}{6}[/tex].

To find:

The value of [tex]x_2][/tex].

Solution:

Slope formula:

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

The line passes through the points (9,9) and [tex](x_2,-1)[/tex]. So, the slope of the line is:

[tex]m=\dfrac{-1-9}{x_2-9}[/tex]

[tex]m=\dfrac{-10}{x_2-9}[/tex]

It is given that the slope of the line is [tex]\dfrac{5}{6}[/tex].

[tex]\dfrac{5}{6}=\dfrac{-10}{x_2-9}[/tex]

[tex]5(x_2-9)=-10(6)[/tex]

[tex]5x_2-45=-60[/tex]

[tex]5x_2=-60+45[/tex]

[tex]5x_2=-15[/tex]

Divide both sides by 5.

[tex]x_2=-\dfrac{15}{5}[/tex]

[tex]x_2=-3[/tex]

Therefore, the value of [tex]x_2[/tex] is [tex]-3[/tex].

Answer:

median:  6

range:  7

mean:  5.4

Step-by-step explanation:

median is the middle value

range is the highest value minus the smallest value

mean is the total of all values divided by the total data values (174÷32, in this problem)

Answer:

Y = 50 degrees, X = 60 degrees

Step-by-step explanation:

Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.

Answer:

Step-by-step explanation:

Answer:

Part 1: It is not a valid conclusion to say that track and field sports are more popular than soccer based on the survey. The survey was taken at a track and field event so the people that were surveyed are probably biased.

Part 2: A better way of determining which sport is more popular is by counting how many people show up to each event and comparing the results.  

Answer:

3

Step-by-step explanation:

105/7hrs

15/1hr

15/60min

0.25/per minute

0.25*12

= 3

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

Took the "quiz"

(Please mark Brainliest)

Answer:

254.34 ft^2

Step-by-step explanation:

The equation for area of a circle is π*r^2, where r is the radius of the circle. So we do 3.14*9^2 for the answer

Answer:

254.34 ft

Step-by-step explanation:

radius (9)

multiply it by itself (9x9)

so then you get 81

then the two radius squared (81) is multiplied by pi (3.14)

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)

Answer:

47/9

Step-by-step explanation:

5*9 = 45 +2 = 47

Answer:

1.) 1.12/10= 1 2/10= 1.2%       10*1.2%=12

2.) 8/10=0.80%                     10*0.80=8

3.)10/12=0.83%                     12*0.83=10    

%*whole

Answer:

the answer is .24

Step-by-step explanation:

when you multiply 0.1 x 2.4 it equals out to .24

0.1 x 2.4= .24

Answer:

Step-by-step explanation:

We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.

Cos (45) = x/10

10 * Cos (45) = 10 * (√2 / 2)

This should equal to 5√2

Answer:

o f(-4)=7

Step-by-step explanation:

Sana makatulong:,-)

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer:

128 > 4*(x + 7)

Step-by-step explanation:

Given the following data;

Length = 4 meters

Width = x + 7 meters

Area = 128 m²

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Substituting into the formula, we have;

128 > 4*(x + 7)

128 > 4x + 28

128 - 28 > 4x

100 > 4x

Dividing both sides by 4, we have;

25 > x

Answer:

9.65 miles

Step-by-step explanation:

Given:

Final elevation = 8.05 miles

Change in elevation = 1.6 miles

Let Initial elevation which is the elevation before descent = x

Initial elevation - change in = final elevation

(-ve) sign because it was a descent

x - 1.6 = 8.05

x = 8.05 + 1.6

x = 9.65 miles

Hence, elevation before descent is 9.65 miles

Split it into two rectangles:

6 x 2 x 2 = 24

3 x 2 x 2 = 12

Now add:

24 + 23 = 36 cubic feet

Answer:

your answer will be Option A.$3,207.40

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

A. $3,207.40

Step-by-step explanation:

Hope this helps

Answer:

Ratio (r) = 2

n = 7

Step-by-step explanation:

The formula for the sum of the nth term of a G.P is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

The sum of the reciprocal is 127/64

The formula is inverted , hence:

Sn = 1/a(1-r^n)/(1-r)

127/64 = r^(1-n)(1-r^n)/(1-r)

Hence:

1/64 = r^(1-n)

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r = 2

n = 7

Answer:

Step-by-step explanation:

Base area * height

Answer:

i think that the answer is BH or Base area × Hight

Answer:

The answer is " x = - 1 "

Step-by-step explanation:

[tex]9t^{2}[/tex] - 54t + 81 = 36t + 180

^ The you solve the equation

t = 11, t = - 1

^ and then verify the solution

t = - 11 ( False ), t = -1 ( True )

Answer = t = -1

Answer:

3/4 meters

Step-by-step explanation:

We can use ratios to solve

8m         2 m

------- = -----------

3m         x m

Using cross products

8*x = 3*2

Divide each side by 8

8x/8 = 6/8

3/4 meters

Answer:

x = 3/4 m

Step-by-step explanation:

Construct two similar right triangles that share an angle of elevation.  The two vertical sides represent the heights of the person and the tree and are 2 m ad 8 m respectively.  The two horizontal sides represent the shadow cast by the person and that cast by the tree, respectively.  Because the triangles are similar, we can write the following equation of ratios:

 8 m       3 m

--------- = --------

 2 m         x

... where x is the length of the shadow cast by the person.

Cross multiplying, we get:

8x = 6m, or x = 6/8 m, or x = 3/4 m

Answer:

-2/3

Step-by-step explanation:

2-4 / 2-(-1)

2-4 / 2+1

-2/3

Given:

The volume of a cylinder is 95 cubic centimetres.

To find:

The equation that can be used to find h, the height of the cylinder.

Solution:

We know that, the volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].

Now, volume of the cylinder is

[tex]V=Bh[/tex]

The volume of a cylinder is 95 cubic centimetres.

[tex]95=Bh[/tex]

[tex]\dfrac{95}{B}=h[/tex]

[tex]h=\dfrac{95}{B}[/tex]

Where B is the base area of the cylinder.

Therefore, the correct option is G.

Answer:

The first number is 14

The second number is -3

Step-by-step explanation:

x + 2y = 8

2x + y = 25

Solving simultaneously,

2x + 4y = 16

2x + y = 25

On subtracting, we have

3y = -9

y = -3

Going to substitute for y, we have

x + 2(-3) = 8

x - 6 = 8

x = 14