A spherical boulder is 26 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for it
The volume of the boulder is approximately 13
(Round to the nearest whole number as needed.)

Answers

Answer 1

Answer:

530 ft.

Step-by-step explanation:

π(r)^2

3.14(13)^2

= 530.66 rounded to the nearest whole number

= 530

Answer 2
Answer:

Step by step explanation:

Related Questions

Correct answers only!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$39

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 30 × 10/100 × 3

I = $9

She have = 30 + 9 = $39

Select all ratios equivalent to 16:4.
12:3
1:2
24:6

Answers

can you show me a picture then maybe i can help you

Theresa has a rectangular pool 30 ft long, 15 ft wide, and 4 ft deep. Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water.


Nancy has a circular pool with a diameter of 24 ft and a depth of 4 ft. Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.


If Theresa and Nancy both fill their pools 6 inches from the top of the pool, determine and state who paid more to fill her pool. [ 1 ft3 water = 7.48 gallons]

Answers

Answer:

Step-by-step explanation:

Both pools were filled 6 inches from the top.

12 inches = 1 feet

6 inches = 6/12 = 0.5 foot

Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is

Volume = length × width × height

Height filled is 4 - 0.5 = 3.5 feet

Volume = 30 × 15 × 3.5 = 1575 ft³

Recall, 1 cubic feet = 7.48 Us gallons

Therefore,

1800 cubic feet = 1575 × 7.48 = 11781 gallons of water

Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is

3.95 × 11781/100 = $465.35

Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is

Volume = πr²h

Diameter = 24

Radius = diameter/2 = 24/2 = 12 ft

Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes

1582.56 × 7.48 = 11837.55 gallons of water.

Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.

It means that the amount she paid to fill her pool is

200 × 11837.55/6000 = $394.59

Therefore, Theresa paid more to fill her pool.

Arthur is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches × 12 1 4 inches. He needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Arthur need for his project?

Answers

Answer:

303.63 sq inches

Step-by-step explanation:

We need to find the area of the two rectangles he cuts and add them together.

The area of a rectangle is given as:

A = L * B

The first rectangle is 16 inches × 12 1/4 inches. Its area is:

A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches

The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:

A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches

The total square inches of construction paper that he needs is:

196 + 107.63 = 303.63 sq inches

I need help preciate it

Answers

Answer:  x=1

They all have 1 for their x coordinate; 'nuff said.

Please Help!!!! ASAP!! I will mark Brainliest!!! Please awnser CORRECTLY!! No guessing.

Answers

Answer:

C

Step-by-step explanation:

f(5) means we must plug in 5 wherever we see an x in the function.

[tex]f(x) = \frac{1}{9} 3^{x}[/tex]

[tex]f(5) = \frac{1}{9} 3^{5}[/tex]

[tex]f(5) = \frac{1}{9} * 243[/tex]

[tex]f(5) = \frac{243}{9} = 27[/tex]

So f(5) = 27! The answer is C.

find the total surface area of a right cone with a base diameter of 10cm and a height of 12cm. give your answer in terms of pie.

Answers

Answer:

The total surface area is 90π cm²

Step-by-step explanation:

To find the total surface area of his cone, we will follow the steps below;

write the formula for finding the total surface area of a cone

Total surface area = πrl + πr²

where r is the radius  and l is the slant height

from the question, diameter = 10 cm, diameter = 2r     this implies  that r = d/2 = 10/2 = 5 cm

Also from the question given to us, height h = 12 cm, but what we want  is slant height l. We can find this by using the Pythagoras theorem to find the slant height using the height giving to us and the radius.

opposite² + adjacent² = hypotenuse²

where radius is the adjacent, height is the opposite  and the slant height is the hypotenuse

5²  +  12²  = l²

25 + 144 = l²

169 = l²

13 = l

l= 13 cm

hence slant height =13 cm

We can now proceed to insert the values into the formula

Total surface area = πrl + πr²

                              = π×5×13 + π×5²

                               =65π + 25π

                                =90π cm²

The total surface area is 90π cm²

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all. Which equation can be use to find m, the number of marbles still needed to fill the jar?

Answers

Answer:

1000-273=M

Step-by-step explanation:

Jarry has 273 and needs 1000 so take the number he needs by the marbles he has to find the marbles he needs to fill the jar. Hope this helped

The required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,

Jarry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all.

Let the number of marbles that are still to be filled by M
And the equation is given as,
M = 1000 - 273

Thus, the required equation that models the number of marbles still needed to fill the jar is M = 1000 - 273.

Learn more about models here:

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factorise :x^2y^2-16​

Answers

Answer:

(xy - 4)(xy + 4).

Step-by-step explanation:

The is the difference of 2 squares.  

a^2 - b^2 = (a - b)(a + b: so we have:

x^2y^2 - 16​ = (xy - 4)(xy + 4)

Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188

Answers

Answer:

64 - 8 + 12 x (2 + 9) = 188

Step-by-step explanation:

64 - 8 + 12 x 2 + 9 = 188

Putting parentheses around two numbers and one operation:

64 - 8 + 12 x (2 + 9) = 188

Following the BODMAS principle

Solving the bracket or parentheses first

(2 + 9) = 11

64 - 8 + 12 × 11

Then multiplication:

12 × 11 = 132

64 - 8 + 132

Then addition:

-8 + 132 = 124

64 + 124 = 188

Hence the proof

Taylor read 32 pages on Monday. On Tuesday, she read twice as much as she read on Monday. On Wednesday, she read 14 fewer pages than she did on Tuesday. How many total pages did Taylor read during the three days?

Answers

Answer:

Taylor read 146 pages during these three days.

Step-by-step explanation:

32 pages on Monday.

On Tuesday twice, as much as Monday. So 2*32 = 64 on Tuesday.

On Wednesday, 14 less pages than Tuesday. 64 - 14 = 50. So he read 50 pages on Wednesday.

How many total pages did Taylor read during these three days?

32 + 64 + 50 = 146

Taylor read 146 pages during these three days.

I need help with number 2 name the radii of the circle

Answers

Answer:

AO and OB

Step-by-step explanation:

The radii are radiuses and in this case you have two. They radius half of the circle and the diameter is the whole length. Hope this was helpful.

Solve 3.4 [ 6 ( 4) +6^2]

Please show your work! <3

Answers

Answer:

204

Step-by-step explanation:

3.4[6(4)+6^2]=

3.4[24+36]=

3.4[60]=

204

Hope this helps!

Help me pleasee for this equation

Answers

Answer:

11.3 (C)

Step-by-step explanation:

sqrt(12^2 - 4^2) =

sqrt(144 - 16) =

sqrt(128)-->

11.3 (C)

Answer:

11.3 ft

Step-by-step explanation:

We have a right triangle with the hypotenuse of 12 and a leg of 4

Using the pythagorean theorem

a^2 +b^2 = c^2

4^2 + b^2 = 12^2

16 +b^2 = 144

Subtract 16 from each side

b^2 =144-16

b^2 =128

Taking the square root of each side

sqrt(b^2) = sqrt( 128)

b =11.3137085

solve 25+8m =73 M=....​

Answers

Answer:

25+8m=73

We move all terms to the left:

25+8m-(73)=0

We add all the numbers together, and all the variables

8m-48=0

We move all terms containing m to the left, all other terms to the right

8m=48

m=48/8

m=6

Answer:

[tex]m = 6[/tex]

Step-by-step explanation:

[tex]25 + 8m = 73 \\ 8m = 73 - 25 \\ 8m = 48 \\ \frac{8m}{8} = \frac{48}{8} \\ m = 6[/tex]

Replace A with a number to make A/24 ≥ 1/4 a true statement.

Answers

Answer:

B. 7

Step-by-step explanation: 6/24= 1/4 so 7/24>1/4

Find the height of a prism with volume 720cm3 and base area 45cm2

Answers

Answer:

The height is 16 cm

Step-by-step explanation:

It's just v/b

720/45=16

The height is 16 cm

i think the height is 16cm

helppppppppppppppp meeeeeee

Answers

1x1x1.  That's pretty much the definition of

Answer: 1 cubic foot, last choice

i am having trouble i need help.

Answers

Answer:

A.  y=2x-2

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

to find the slope intercept formula u need the slope, the y-intercept, and the X and Y

1st step: find the slope and to find the slope, pick any two points from the line

point 1: (2,2)

point 2: (3,4)

slope= y2-y1/x2-x1

4-2/3-2=2/1 or 2

the slope intercept form is y=mx+ b, so now substitute the variables for the known

y=2

x=2

m=2

2=2(2)+b

solve the equation

2=4+b

subtract 4 on both sides

b=-2

the slope intercept form is y=2x-2

Solve for x: 4(x + 2) = 3(x − 2) PLEASE HURRY

Answers

4x+8=3x-6 (distribution)
x=-14

Answer:

X= -14

Step-by-step explanation

4(x + 2) =3(x-2)

4x + 8 = 3x - 6

4x - 3x= - 8 - 6

X = - 14

Halla el término trigésimo de la progresión aritmética de diferencia 3 y primer término 11. Halla el término general de la progresión y la suma de los cuarenta primeros términos

Answers

Answer:

13th term = 47

General term: Tn = 11 + 3(n-1)

Sum of the first 40 terms = 2780

Question:

Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.

Step-by-step explanation:

Common difference (d)= 3

First term = a = 11

Find attached the solution of problem.

Samantha’s mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkway on two sides of the pond. Below is a picture of the pond.

a. Create an equation that can be used to solve for the width, x, of the walkway.

b. Use any method (other than graphing) to figure out how much the width, x, of the walkway will be.

Answers

Answer:

A- 3x2= 6

6 divided by 2 is 3

B- flip it around with division first

Step-by-step explanation:

What is the slope of the line x= -1
plz help
who ever answers first will get brainliest

Answers

Answer:

Step-by-step explanation:

If the line has an equation of x = (some number), this is a vertical line. The slope is undefined and all the points on the line have an x-coordinate of that (some number). For example, if x = -2, then all points along this line will have an x-coordinate of -2, making it a vertical line.

Answer:

its undefined, since its a vertical line and is parallel to the y-axis it is passes though all points with a x-axis of -1

Step-by-step explanation:

Emma received grades of 68, 74, and 86 on 3 tests. What is the lowest grade she could get on a 4th test if she needs her average to be 80 or higher?

Answers

Answer:

92

Step-by-step explanation:

68+74+86+x/4 ≤ 80

92 would be the answer

Which angle is coterminal to 2pi/3

Answers

the correct answer is -4π/3.

How many times larger is the volume of a sphere if the radius is multiplied by 5?

Answers

Answer:

Brainliest please

The  Volume is 125 times bigger.

Step-by-step explanation:

V = [tex]\frac{4}{3}*\pi *r^{3}\\[/tex] is the normal formula.

If you multiply the radius by 5 the it changes to

V = [tex]\frac{4}{3}*\pi *(5r)^{3}[/tex]

And when you simplify you get

V = [tex]\frac{4}{3} * \pi * 125r^3[/tex]

And the only difference between the inital equation and this one is *125 and so the volume is 125 bigger if the radius is multiplied by 5.

Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the
newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are
state quarters. Based on this sample, how many of the quarters in the full bag were likely to
be eagle quarters?
300
100
400
200?

Answers

Answer:

400

Step-by-step explanation:

The 200 quarters in the full bag were likely to be eagle quarters.

What is the ratio?

In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Given that:-

Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are thenewer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 arestate quarters. Based on this sample, how many of the quarters in the full bag were likely tobe eagle quarters

We can conclude from the given data that the ratio of the Eagle and state quarters is 4:6 or 2:3 suppose the common factor is a so the value will be calculated as:-

E  +  S  =  500

2a  +  3a  =  500

5a   =  500

a  =  100

E  =  2a

E   =  2  x  100 =  200

Therefore 200 quarters in the full bag were likely to be eagle quarters.

To know more about ratios follow

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Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.

Answers

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree

No, I do not agree because:

The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles

2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.

No, do not agree because:

A  cylinder has two congruent bases but it is not a  polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons

Hope it will find you well.

evaluate using distributive property -7/3*5/9+13/3+4/9*-7/3

Answers

-7/3*5/9+13/3+4/9*-7/3=2

If sin x= (sqrt 2)/2 and tan x=-1 what is sec x

Answers

Answer:

[tex]-\frac{2}{\sqrt{2}}[/tex] or [tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sec{x}[/tex] is the reciprocal of [tex]\cos{x}[/tex], or in symbols: [tex]\sec{x}=\frac{1}{\cos{x}}[/tex]. [tex]\tan{x}[/tex] is also the ratio of [tex]\sin{x}[/tex] to [tex]\cos{x}[/tex], and we can multiply both sides of the equation [tex]\tan{x}=\frac{\sin{x}}{\cos{x}}[/tex] by [tex]\frac{1}{\sin{x}}[/tex] to get the equation [tex]\frac{\tan{x}}{\sin{x}}=\frac{1}{\cos{x}}[/tex]. Of course, this is just the definition of [tex]\sec{x}[/tex], so we can rewrite this fact as [tex]\sec{x}=\frac{\tan{x}}{\sin{x}}[/tex].

In this problem, we're given that [tex]\sin{x}=\frac{\sqrt{2} }{2}[/tex] and [tex]\tan{x}=-1[/tex], so plugging those two values into our equation gives us

[tex]\sec{x}=\dfrac{-1}{\frac{\sqrt{2}}{2}} =-\frac{2}{\sqrt{2}}[/tex]

We could leave our solution as [tex]-\frac{2}{\sqrt{2}}[/tex], or we could rationalize the denominator to get a solution of

[tex]-\frac{2}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=-\frac{2\sqrt{2}}{2}=-\sqrt{2}[/tex]

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