A contractor is building a circular swimming pool. The radius of the circle 12 feet. He needs to know the
circumference in order to buy tile to put around the edge of the pool.
What is the circumference if he uses n=2217 ?

Answers

Answer 1

Answer:

75.41 ft

Step-by-step explanation:

This problem is on the mensuration of flat shape, a circle.

we know that the circumference of a circle is expressed as

[tex]C= 2\pi r[/tex]

Given that radius = 12 ft

The circumference can be solved for by substituting the value of r in the formula

C=2*3.142*12

C= 75.408ft

to 2 d.p the circumference is 75.41 ft


Related Questions

what is 4 times 4 divided by twenty eight then multiplied by five

Answers

Answer:

2 6/7

Step-by-step explanation:

4 x 4 = 16

16/28 = 4/7

4/7 x 5 = 20/7

2 6/7

I'm always happy to help :)

Solve [4x +2] =6
Select one:
O a. 1
b. 2
O c. 1 or -2
O d. -1 or 2​

Answers

Answer:

x=1

Step-by-step explanation:

Steps:

1: Step 1: Subtract 2 from both sides.

4x+2−2=6−2

4x=4

2: Step 2: Divide both sides by 4.

4x4=44x=1

Answer: x=1

Hope this helps.

Answer:

1

Step-by-step explanation:

Given expression:

4x+2=6

Bringing 2 to the other side, it becomes negative..

4x=6-2 = 4

4x=4

again 4 brought to rhs n divided..

x=4/4

x= 1

So the correct option is (a)

Patty made a banner that has an area of 96 square inches. The length and width of the banner are whole numbers. The length is 6 times greater than the width. What are the dimensions of the​ banner?

Answers

Answer:

The length of the banner is 24 inches and its width is 4 inches.

Step-by-step explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W = [tex]6W^2[/tex]

The are of the banner is 96 square inches. This implies that:

[tex]6W^2[/tex] = 96

=> [tex]W^2[/tex] = 96 / 6 = 16

W = [tex]\sqrt{16}[/tex]

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

x = - 9, x = 10

Step-by-step explanation:

Given

x² - x - 90 = 0

Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)

The factors are - 10 and + 9, since

- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus

(x - 10)(x + 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 9 = 0 ⇒ x = - 9

lesser x = - 9

greater x = 10

w^2(x+8)+z(x+8)=( )(x+8) find the missing factor PLEASE!

Answers

Answer:

w^2(x+8)+z(x+8)= (w^2+z)(x+8)

Step-by-step explanation:

This question uses concepts from grouping. Since the second term (x+8) is a common term on the left side of the equation, we can pull it out. This would leave (w^2+z) left.

What is the leading coefficient of the polynomial?

3x2 + 5x3 − 4x4 − 7x

Answers

Answer:

-4

Step-by-step explanation:

Rearranging the terms of this polynomial in descending order by powers of x, we get 3x2 + 5x3 − 4x4 − 7x => -4x^4 + 5x^3 + 3x^2 - 7x.

-4x^4 is the leading power of x, and -4 is the "leading coefficient" of the polynomial.

When a grizzly bear hibernates it's heart rate drops to 10 bpm which is 20% of its normal value what is a grizzly bear is normal heart rate when not hibernating

Answers

Answer:

The normal heart rate of the bear is 50 bpm

Step-by-step explanation:

20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.

So we can write the equation:

[tex]0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50[/tex]

Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car?

Answers

Answer:

4 days in total

Step-by-step explanation:

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

What this question?????????

Answers

Answer:

A. [tex]\frac{3}{4} = \frac{21}{28}[/tex]

Step-by-step explanation:

[tex]\frac{21}{28}[/tex] ÷ [tex]\frac{7}{7} = \frac{3}{4}[/tex]

21 ÷ 7 = 3

28 ÷ 7 = 4

Can someone help me with this please

Answers

Answer: Bladder

Step-by-step explanation:

The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.

Please help, having trouble with geometry word problems. Tysm if you do :)

Answers

Hi!

So let's start with some variables.

w is width

L is length.

The length is 4 less than 5 times the width. Let's put that into an equation.

L = 5w - 4

The perimeter is 76.

The perimeter is L + L + w + w or

perimeter = 2L + 2w.

Which means that 1/2 of the perimeter = L + w.

We know the perimeter is 76, so half of 76 is 38.

38 = L + W.

Let's put length in terms of width and plug in the previous equation.

38 = 5w - 4 + w

Add the same variables

38 = 6w - 4

simplify

42 = 6w

w = 7

And plug that into the length equation that we had above to get

L = 35 - 4

L = 31

The correct answer is C: 7, 31

Answer:

1. C. 7, 31 cm

2. A. 43°, 137°

Step-by-step explanation:

1.

A. 14+14+66+66=160 (incorrect)

B. 7+7+27+27= 68 (incorrect)

C. 7+7+31+31= 76 (correct)

D. 7+7+39+39= 92 (incorrect)

For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.

2.

Supplementary angles add up to 180°

The formula is x° × 5 = y° × 2 - 59

A. 43° × 5 = 137° × 2 - 59 (correct)

B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)

C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)

D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)

For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.

Please help I really need it it’s too soon I will give brainless a thank you and five stars

Answers

Answer:

6

Step-by-step explanation:

3/4=6/8

1/8x=6/8

x=6

Teo has a combination of quarters, loonies, and toonies in his pocket.
He knows he has 9 coins in total and that he has at least one of each
type of coin.
a) What is the probability that Teo has more than $8?

b) How many different combinations of coins could Teo use to pay for an item
that costs between $10 and $12, if he uses fewer toonies than loonies?

Answers

Answer:

ooga booga ooga booga ooga booga ooga booga

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

please help !
1) The product of two rational is always a .....................................
2) The reciprocal of a positive rational number is ............................................
if u say the answer then i will rate u excellent

Answers

Answer:

1. rational number

2. a positive rational number

Step-by-step explanation:

A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.

The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.

。☆✼★ ━━━━━━━━━━━━━━  ☾  

1) A rational number.

If you think about it, multiplying two fractions would produce another fraction. An irrational number can't be expressed as a fraction. Thus, multiplying two nationals would produce a rational number.

2) A positive rational number

Let's look at an example

3/4

The reciprocal would be 4/3.

If it is already a positive rational number, turning it upside down wouldn't affect the status of it.

Have A Nice Day ❤    

Stay Brainly! ヅ    

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At the Laika Boss Kennel Club, there are 15 dogs that are hairy or small, 2 dogs that are hairy and small, and 9 dogs that are small. How many dogs are hairy?

Answers

Answer:

There are 8 number of hairy dogs.

Step-by-step explanation:

It is given that:

Number of small dogs (Let it be [tex]n(A)[/tex]) = 9

To find:

Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?

Also given the following things:

Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15

Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2

We can use the following formula:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.

Putting the values in above formula:

[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]

Hence, the number of hairy dogs are 8.

Find the measure of each angle indicated.

Answers

Answer:

53

Step-by-step explanation:

Left triangle: Missing angle 40. 80+60=140, 180-140=40.

40+49=89

180-89=91

91+36=127

180-127=53

Answer:

? = 53°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

The measure of the third angle of the triangle on the left is

third angle = 180° - (60 + 80)° = 180° - 140° = 40°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

40° + 49° = 89° is an external angle of the triangle on the right, thus

? + 36 = 89 ( subtract 36 from both sides )

? = 53°

Solve the system of equations please:
y=(x^2)+3x-6
y=x+2

Answers

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

PLEASE HELP WILL MARK BRAINLIEST Abdul is making a map of his neighborhood. He knows the following information: His home, the middle school, and high school are all on the same street. His home, the elementary school, and his friend's house are on the same street. The angle between the elementary school, middle school, and his home is congruent to the angle between his friend's house, the high school, and his home. What theorem can Abdul use to determine the two triangles are similar?

Answers

Answer:

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

Write the word sentence as an inequality. A number b is at least -3.

Answers

Answer:

b>=3

Step-by-step explanation:

Find the measurement of the angle in the given picture

Answers

There is no picture.....

Triangle QRS was dilated using the dilation rule DP,4.




What is PR'?


6 units

9 units

12 units

15 units

Answers

Answer:

PR' = 12units

Step-by-step explanation:

When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.

If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.

Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.

According to the diagram,  side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR

PR' = 4 * PR

PR' = 4*3

PR' = 12units

I need help with this question

Answers

Answer:

you can solve like this i think it is correct but i am not sure

Please answer this math question !! Thank u !! Will give brainliest !!

Answers

Answer:

Sharon has 18 cards and Brendan has 13

Step-by-step explanation:

you do 31-5=26

26/2=13 these are both of their cards

u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan

can i have brainliest

Multiply Mentally: 4.527 • 10(2)

Answers

Answer:

452.7

Step-by-step explanation:

Answer:

452.7

Step-by-step explanation:

hope this helps

<3

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 9 yards and b = 40 yards, what is the perimeter?

Answers

Answer: 90 yards

Step-by-step explanation: Let me know if you need an explanation.

Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right

Which graph represents a proportional relationship? On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a line crosses the y-axis at (0, 2). On a coordinate plane, a curved line curves at (0, 0). On a coordinate plane, a line crosses the y-axis at (0, 0).

Answers

Answer: On a coordinate plane, a line crosses the y-axis at (0,0)

Step-by-step explanation:

A proportional relationship has the form:

y = k*x

where k is the constant of proportionality.

only from looking at this we can conclude:

This is a linear equation.

The slope is k.

The y-intercept is equal to zero.

For example, if we have x = 0 then:

y = k*0 = 0

then this line passes through the point (0,0)

then the correct option is:

"On a coordinate plane, a line crosses the y-axis at (0,0)"

Answer:

D

Step-by-step explanation:

A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 93.5 in. What is the height of the​ pyramid?

Answers

Answer:

The height of the pyramid is 92.67 inches

Step-by-step explanation:

Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.

Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.

Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.

With the hypotenuse being the slant height s,

s^2 = r^2 + h^2

but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches

93.5^2 = 12.4^2 + h^2

h^2 = 93.5^2 - 12.4^2

h^2 = 8742.25 - 153.76

h^2 = 8,588.49

h = √(8,588.49)

h = 92.67 inches

Joe hosted a praty 582 people came he charged 15 dollars for balcony seats and 10 dollars for ground seats how many people bout the ground seats and the balcony seats if he raised 6480

Answers

Answer:

Ground seats = 450 people

Balcony seats= 132 people

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)

15 b +10 g =6480

The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).

b+g = 582

Multiplying the second equation by 10, and subtracting it to the first equation:

15 b +10 g =6480

-

10b+10g = 5820

__________

5b =660

Solving for b

b = 660/5 = 132

Substituting b=132 in the second equation:

132+g = 582

g= 582-132

g= 450

solve 5kx+6=7kx for x

Answers

Answer:

7kx-5kx=6

2kx=6

x=3/k

Step-by-step explanation:

ur welcome my guy

Answer:

The answer is 3/k .

Step-by-step explanation:

First you have to move all the related terms to one side :

[tex]5kx + 6 = 7kx[/tex]

[tex]6 = 7kx - 5kx[/tex]

[tex]2kx = 6[/tex]

Next, you have to solve it :

[tex]x = 6 \div 2k[/tex]

[tex]x = 3 \div k[/tex]

[tex]x = \frac{3}{k} [/tex]

I need help. Find the surface area.

Answers

Answer:

253.5π

Step-by-step explanation:

Surface area of cylinder: 2πrh+2πr^2

Height: 13, Radius: 6.5

A = 2π6.5(13)+2π6.5^2

A = 169π + 84.5π

A = 253.5π

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