A sphere used in a contest has a
diameter of 9 feet. What is the
volume of the sphere?

Answers

Answer 1

Answer:

382 ft³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{ 3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Rdaius of sphere

= 9 ÷2

= 4.5 ft

Volume of sphere

[tex] = \frac{4}{3} (\pi)(4.5)^{3} [/tex]

= 382 ft³ (3 s.f.)


Related Questions

Which diagram is NOT a good model of 1/5÷6?

Answers

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

Answer: Lower left corner

==============================================================

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]

PLEASE HELP ASAP :D
what is
sin
cos
tan

Answers

Answer:

sin=180/181

cos=19/181

tan=19/180

Using the function p(x)=4x-3 what is p(5)

Answers

Answer:

p(5) = 17

Step-by-step explanation:

p(x) = 4x - 3

p(5) = 4(5) - 3

     = 20 - 3

     = 17

to solve the equation 4+3x^2-7x=0 using the quadratic formula, what are the values of a, b, and c

Answers

a = 3

b = -7

c = 4

Explanation

what you need to know:

[tex]a {x}^{2} + bx + c = 0[/tex]

what you have:

[tex]4 + 3 {x}^{2} - 7x = 0[/tex]

so you just rearrange them from highest exponent being on the left to lowest exponent being on the right:

[tex]3 {x}^{2} - 7x + 4 = 0[/tex]

You are hiking in Marin, and stop to stand on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

Answers

Answer:

Step-by-step explanation:

on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

We solve using the Trigonometric function of TANGENT

tan 28 = 150/x

Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest

Answers

Answer:

r = 5.74%

Step-by-step explanation:

Compound interest formula is expressed as;

A = P(1+r)^t

P is the principal = $8000

A = P+I =8000 + 2000 = $10000

time t = 4years

Substitute

10000 = 8000(1+r)^4

10000/8000 = (1+r)^4

10/8 = (1+r)^4

1.25 = (1+r)^4

1.05737126344 = 1+r

r = 1.05737126344 - 1

r = 0.05737126344

r = 5.74%

This gives the rate of interest

what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)

Answers

Pythagorean Theorem.

21^2 - 15^2 = x^2

X^2 = 216

X=14.7

Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4

Answers

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

thr value of k if x-1 is a factor of 2x^3 +3 kx^2+2x-1​

Answers

Answer:

-2/3

Step-by-step explanation:

put 1 in x should be 0

k is -2/3

(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)

Answers

Answer:

Hello!!!

Step-by-step explanation:

The first step for solving this expression is to remove the first set of parenthesis.

-8.3x+4 - (3.2x-5)

Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following

-8.3x + 4 - 3.2x + 5

Collect the like terms with an x variable.

-11.5x + 4 + 5

Lastly, add the number to get your final answer

-11.5x + 9

Hope that helps you dear...

Have a nice day..

Buhbye!

Jorge got a hit 8/25 of the times that he
batted. What percent of the times did
he get a hit?

Answers

Answer:

32%

Step-by-step explanation:

Percent means out of 100 so we need the denominator to be 100

8/25  * 4/4 = 32/100

The percent is the numerator since it is now out of 100

32%

Answer: 32%

Step-by-step explanation:

32%

what is the value of x

Answers

Answer:

20

Step-by-step explanation:

Those angles are the same so you can put them in an equation like this:

x + 60 = 4x

Then you subtract x from both sides to get variables on one side and constants on the other:

60 = 3x

Now divide by three to find what just x is:

20 = x

And there you go <3

PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!


Answers

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

What kind of solution is this? Prove it.
3+8x=8x+3
3=3
0=0

Answers

Answer:

all real numbers

Step-by-step explanation:

3 + 8x = 8x + 3

Subtract 8x from both sides.

3 = 3

Since 3 = 3 is a true statement, the solution is

x = all real numbers

Every number is a solution of this equation.

John brother Ricky also works part time in the summer. Ricky started working at the same time as John with a. Account balance of $227and deposit $24 each week. Writ an expression for the amount Ricky has in the bank after w week

Answers

Answer:

$227 + $24w

Step-by-step explanation:

Initial balance = $227

Amount deposited per week = $24

Amount in account after w weeks

Total amount = initial balance + total weekly deposit

Total Weekly deposit = $24 * number of weeks

Number of weeks = w

Hence,.

Total deposit = $227 + $24w


Please help me this is due tomorrow thank you

Answers

Answer:

The answer is option B.

Step-by-step explanation:

Answer: D

Step-by-step explanation:

The histogram shows driving to work so A even though it looks like it may fit there is no way to assume they don’t drive at all

Hope this helps

Someone help me solve this

Answers

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

What is the area of the triangle below? 10 cm 2 20 cm 2 10.5 cm 2 11 cm 2

Answers

Answer:

A = 10.5 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 3 , then

A = 0.5 × 7 × 3 = 10.5 cm²

Answer:

A = 10.5 cm²

Step-by-step explanation:

hope this helps

Use the diagram and solve for x if:angel AOB= 4x - 2; Angel BOC=5x + 10; Angel COD=?

Answers

Answer:

4x-2+5x+10=90 degree(being perpendicular)

9x+8=90

9x=90-8

x=82/9

x=9.11

Step-by-step explanation:

Four students spoke to the Parents Club for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?

Answers

Its 1/6

Explanation:
2/3 ÷ 4

Add 1 below 4 as a denominator:
2/3 ÷ 4/1

Reciprocate 4/1 and change to multiplication:
2/3 x 1/4

Solve:
2/3 x 1/4 = 2/12

Simplify 2/12
2/12 —> 1/6

Have a nice day! A brainliest would be nice:D
-SpaceMarsh


3. Write a pair of linear equations which has the unique solution x= 1 , y= -1.

Answers

Step-by-step explanation:

The equations with solution x = 1 and y = (-1) will intersect each other at (1,-1) .

Equation 1 :-

Say slope is 1 .

→ y - (-1) = 1 ( x -1)

→ y +1 = x -1

→ x - y -2 = 0

Equation 2 :

Slope = -1

→ y - (-1) = -1( x -1)

→ y +1 = -x +1

→ x + y = 0

Required answer

HELP NEEDED PLEASE!!
Calculate the volume of the following Prism. V = ####

Answers

Answer:

720

Step-by-step explanation:

first, to figure out the side lengths you do 12*10 = 120 then 120*6 = 720 (because those sides are all equivalent)

If WXYZ is a square, which statements must be true? Check all that apply.

Answers

Answer:

A might be right

hope this is helpful

The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ  is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.

What is the square frame?

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.

Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.

Thus, the correct statement for the square has been shown above.

Learn more about square here:
https://brainly.com/question/1658516
#SPJ2



Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for ed is

Step-by-step explanation:

16 and 10

Write the fraction as a percent. 6/25 ​

Answers

Answer:

0.0417

Step-by-step explanation:

we gots more lol
just per the instructions ​

Answers

Answer:

Step-by-step explanation:

65+3x-1=4+8x(the sum of two interior opposite angle are equal to the exterior angle formed)

64+3x=4+8x

64-4=8x-3x

60=5x

60/5=x

12=x

substitute the value of x

4+8x

4+8*12

4+96

100

therefore angle ZAB=100 degree

simplify: (13^2x+1 -5×169^x) / 9×169^x

Answers

[ 13^(2x + 1) - 5 × 169^x ] ÷ [ 9 × 169^x ] =

Expanding 1 from 13^(2x + 1 )

[ 13 × 13^(2x) - 5 × 169^x ] ÷ [ 9 × 169^x ] =

13 goes to the power of 2

[ 13 × 169^x - 5 × 169^x ] ÷ [ 9 × 169^x ] =

Factorize 169^x from both parts

[ ( 169^x ) × ( 13 - 5 ) ] ÷ [ ( 169^x ) × 9 ] =

Simplify 169^x

[ 1 × ( 13 - 5 ) ] ÷ [ 1 × 9 ] =

[ 13 - 5 ] ÷ [ 9 ] =

[ 8 ] ÷ [ 9 ] =

8 / 9

Rewrite the expression in the form zn.

Answers

Answer:

zⁿ = z³

Step-by-step explanation:

We have the expression:

√(z/ z^⅓)

Hence

= z^½/ (z^⅓)^½

= z^½/ (z^⅙)

= z^(½ ÷⅙)

= z ^(1/2 × 6/1)

= z³

Therefore: zⁿ = z³

1. Find the probability of rolling a sum less than 4 or a
sum greater than 8 when a pair of dice is rolled.

Answers

Answer:  13/36

=============================================================

Explanation:

Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.

Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8

outcome = 1+1 = 2outcome = 1+2 = 3outcome = 2+1 = 3outcome = 3+6 = 9outcome = 4+5 = 9outcome = 5+4 = 9outcome = 6+3 = 9outcome = 4+6 = 10outcome = 5+5 = 10outcome = 6+4 = 10outcome = 5+6 = 11outcome = 6+5 = 11outcome = 6+6 = 12

These 13 results are shown in green boxes in the diagram.

Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36

13/36 = 0.3611 = 36.11% approximately

Simple approved by trying title to the statements and reasons columns

Answers

Answer:

90 and 80 degrees

Step-by-step explanation:

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