The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.

Answer:

a) r = √V/6π

b) r = 8 inches

Step-by-step explanation:

a) The volume V​ (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2​ . Solve the formula for r​ .

Solving for r means making r the subject of the formula

= V=6πr²

Divide both side by 6π

V/6π = 6πr²/6π

r² = V/6π

r = √V/6π

b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.

r = √V/6π

V = 1206 ft³

r = √1206/6π

r = √(63.98028712294193)

r = 7.9987678503 inches

Approximately r = 8 inches

Answer:

20) Rectangular prism, Rectangle base

21) Triangular Prism, Triangle base

22) Pyramid, Triangle base

Step-by-step explanation:

Look at the picture

Answer:

It is actually called a compass...

Step-by-step explanation:

Answer:

They're called geometrical proportional dividers.

Answer:

bro i did not undurstand the question pls make me brillant

Step-by-step explanation:

Kindly note that the spinner diagram. Wasn't given and the spinner used was just hypothetical.

Answer:

1 /18

Step-by-step explanation:

Sample space for spinner = (a, b, c, d, e, F, G, h, I) = 9

Total possible outcomes = sampme space

Vowels in spinner = (a, e, I)

Number of vowels = required outcome = 3

P(spinning a vowel) = required outcome / Total possible outcomes

P(spinning a vowel) = 3 / 9 = 1/3

For a six sided dice ;

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6) = 6

P(rolling a six) = 1/6

P(rolling a 6 and spinning a vowel) = 1/3 * 1/6 = 1/18

Answer:

A) The factors are 5 & 6

B) There are 3 terms

C) the coefficient is 4

Step-by-step explanation:

I hope this helps <3

Answer:

[tex]\{\sqrt b, -\sqrt b\}[/tex]

Step-by-step explanation:

Given

[tex]a^2 - b = 0[/tex]

Required

Determine the solution

Since b is  a perfect square, the equation can be expressed as:

[tex]a^2 - (\sqrt b)^2 = 0[/tex]

Apply difference of two squares:

[tex](a - \sqrt b)(a + \sqrt b) = 0[/tex]

Split:

[tex](a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0[/tex]

Remove brackets:

[tex]a - \sqrt b= 0 \ or\ a + \sqrt b = 0[/tex]

Make a the subject in both equations

[tex]a =\sqrt b \ or\ a =-\sqrt b[/tex]

The solution can be represented as:

[tex]\{\sqrt b, -\sqrt b\}[/tex]

Answer:

854mm2

Step-by-step explanation:

Area of a trapizium =Sum of parallel sides÷2 × height

(45+16)÷2=30.5

30.5×28 =854mm2

Answer:

am i too late

Step-by-step explanation:

Answer:

49°

Step-by-step explanation:

49^2 - 32^2 = BC^2

2401 - 1024 = 1377

√1377 = 37.1079506

37.1 m

Sin(A) / 37.1 = Sin(90)/ 49

Sin (A) = 37.1 X Sin(90)/49

A = sin^-1(3.71 X sin90)/49

A = 49.21

Answer:99

Step-by-step explanation:

Answer:

Alan: 110 lb.

Brady: 140 lb.

Charles: 160 lb.

Damien: 120 lb.

Step-by-step explanation:

Answer:

the answer is 58 degrees (rounded) I have done a step by step explanation below.

Step-by-step explanation:

hope this helps...

Answer:

16n^2+40n+25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B has the largest range

Step-by-step explanation:

Definition:  The range is the difference between the highest and lowest values.

So we must gather the greatest and the least the subtract to find the difference.

A. {2, 3, 5, 5, 5, 15}

15-2=13.  Range for A is 13

B. {10, 20, 30}

30-10= 20. Range for B is 20

C. {140, 141 ,142 ,143}

143-140= 3. Range for C is 3

D. {40, 40, 40, 40, 40}

40-40=0. Range for D is 0

PLS GIVE BRAINLIST IF THIS HELPED

Answer:

The mistake that Andy made was on step 2 when he multiplied only the variables by 12.

Step-by-step explanation:

When you're solving an equation and are multiplying one side by a number, you need to multiply the other side by that number as well to keep the equation true. Since Andy multiplied only the variables and not the constants on each side of the equation, that means the equation would no longer be valid, and solving it would provide a wrong answer.

Answer:

person above me is right. that's is the answer.

Answer:

False

Step-by-step explanation:

102 + 150 + 41 > 500

252 + 41 > 500

293 > 500

Is 293 greater than 500?

It is not so this statement is false.

Answer:

That statement is FALSE

Step-by-step explanation:

102+150+41 = 293

293 < 500, not 293 > 500

The statement is FALSE.

Answer:

3000

Step-by-step explanation:

[tex]\frac{870}{x} =\frac{29}{100} \\\\29x=87000\\x=3000[/tex]

Double check:

29% = 0.29

3000(0.29) = 870

So 29% of the 3000 freshmen students taking economic majors are 870 students.

Answer:

62.8cubic units

Step-by-step explanation:

volume of a cylinder isπ×radius×radius×height.hope it helps.

Answer:

Each side is 25 square centimeters

Step-by-step explanation:

100 divided by 4 is 25

Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.

Answer:

1. 0.000345

2. 0.0345

3. 34.5

4. 3.45

do the powers

Then multiply 3.45 with the result of those powers

Answer:

First Column top:

5. 3. 10

Second Column middle:

9. 7. 2

Third Column bottom:

4. 8. 6

Hence, the grid would be,

5. 3. 10

9. 7. 2

4. 8. 6

Answer:

19 birds where there on Friday

Answer:

10.125 ft^2

Step-by-step explanation:

Our strategy will be to find the area of each shape, therefore finding the area of each rectangle and the triangle, and then adding all the areas together. So, for the leftmost rectangle, the area is 1.5 ft x 3 ft = 4.5 ft. For the bottom rectangle, the area is the same, due to it having the same side lengths. For the triangle, we can find the area using A = (1/2) x base x height. The base and height are both 1.5, due to them being sides of the two rectangles. Therefore, the area is 1.5 x 1.5 x (1/2) = 1.125. Then, to get the total area we have to add up the areas we've already calculated. Therefore 4.5 + 4.5 + 1.125 = 10.125 ft^2

Answer:

7.71

Step-by-step explanation:

add it up

Step-by-step explanation:

hope it helps.

Answer:

4,5,6

Step-by-step explanation:

*The sign of ≥ means that it must be greater or equal to 10 in this case

1). 3 isn't a possible solution due to 9 being less than 10

3+6_10

9_10

9<10

2). 4 is a possible solution due to the sum of 4 and 6 being equal to 10

4+6_10

10_10

10=10

3). 5 is a possible solution due to the sum of 5 and 6 being larger than 10

5+6_10

11_10

11>10

4).6 is a possible solution due to the sum of 6 and 6 being larger than 10

6+6_10

12_10

12>10

Hope this helped! (:

Answer:

60%

Step-by-step explanation: