A circular fountain has 132 feet of railing around it. What is the area of the fountain, Use 3.14 for π.

Answer:

y = 3/2x - 1/2

all steps explained in pic attached below :)

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

[tex]x_1=-2\\y_1=5\\x_2=-1\\y_2=1[/tex]

Now substitute into the formula

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

m=[tex]\frac{1-5}{-1--2}[/tex]
Simplify

m=[tex]\frac{1-5}{-1+2}[/tex]

Subtract

m=[tex]\frac{-4}{1}[/tex]

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: https://brainly.com/question/27304092

Answer:

Step-by-step explanation:

Answer:

7/-13 + 4/-13 = -7/13 - 4/13 = - 11/13

Answer:

1.A , 2.B , 3.D , 4.B , 5.C

Step-by-step explanation:

hope this helped! :)

Answer:

(a) 10.3

(b) 11

Step-by-step explanation:

(a) Step 1: mean is the average of a set of numbers. Add them all together and then divide by how many numbers you were given

11+12+5+11+8+13+12 = 72

Step 2: There are 7 numbers so you divide 72 by 7

72/7 = 10.28

(a) The mean equals 10.3

(b) Step 1: Median is the middle number in a list of numbers. Line the numbers up in order and find the middle one.

5, 8, 11, 11, 12, 12, 13

(b) the median equal 11

144 Inches or 12 Feet

Step-by-step explanation

7 feet converted to inches is 84 So 84+60=144

And if you convert 60 inches into feet it would be 5

Answer:

144 inches

Step-by-step explanation:

1 ft = 12 inches

7 ft = 12 x 7 inches

7ft = 84 inches

Ice path you are floating on = 84 inches

other ice path = 60 inches

all together = 84 + 60

=> 144 inches

Hope this helps!

Answer: 12 minutes

Step-by-step explanation:

Time taken by 2 people = 60 minutes

The time taken by 1 person is double that = 60 x 2 = 120 minutes

So the time taken by 10 people = 120 minutes / 10 people = 12 minutes

Answer: 12 minutes.

Step-by-step explanation: For two people, it takes an hour to paint a fence. With ten people, however, it takes very little time to paint a fence.  10 people are 5 times more people than when you have only 2.  It would only take 12 minutes because it takes 5 times less time with 10 people than with only two.

Let me know if this is right! :)

Question :

The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged. what was her speed?

Answer:

The Answer is A. 0.1 mile per minute

Answer:

5.5

Step-by-step explanation:

The probability helps us to know the chances of an event occurring. The probability of winning a small prize in the carnival is 35.714%.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that there is a total of 56 ducks floating in the pond, out of which 20 ducks are marked as small-prize winners. Therefore, the probability of winning a small price can be written as:

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\\rm Probability=\dfrac{\text{Nnmber of small price ducks}}{\text{Total number of ducks}}\\\\\\Probability = \dfrac{20}{56} = 0.35714 = 35.714\%[/tex]

Hence, the probability of winning a small prize in the carnival is 35.714%.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ1

Answer:

Picture so I can solve it

Answer:

Angle A = 45 degrees

Angle B = 64 degrees

Angle C = 60 degrees

Hope this helps!

[tex]Given: Statement\\ To\ find: Correct\ optician\\ tan\theta=\frac{2}{30\sqrt{13}}[/tex]

[tex]sin\ B=\frac{2}{33}[/tex]

[tex]sin A=\frac{1}{7}=\frac{30\sqrt{13}}{3311}=\frac{3\sqrt{13}}{11}[/tex]

I hope this helps you

:)

Answer: 75,000, (Ignore for 20 characters)

Answer:

75000

Step-by-step explanation:

using Pythagorean theorem we can conclude that the sun is facing north of the south pole which leads to the basic formula of planks leagth which is the smallest thing in the universe so far but it is not a thing it is but a leagth

Using the slope concept, it is found that the horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{48^\circ} = \frac{1068}{x}[/tex]

[tex]x = \frac{1068}{\tan{48^\circ}}[/tex]

x = 961.6

The horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

x = 8.67 and y = 10

Step-by-step explanation:

In right angled triangle

cos 60⁰ = 5/y

1/2 = 5/y

y = 10

in right angled triangle,

tan 60⁰ = x/5

√3 = x/5

x = 5√3 = 5 × 1.73 = 8.65

x = 8.67

Answer:

Option 1: 43π feet

Step-by-step explanation:

We are given that:

encloses garden with circular fence

garden measures 43 feet across = diameter

To find how much fencing is needed, we have to find the cicumference of the circular fence using the formula:

C = 2πr

C = Circumference

r = radius = half the diameter

We are given the diameter, so we just do half of it to get the radius

43 ÷ 2 = 21.5

r = 21.5

Now we substitute this into the formual:

C = 2πr

Substitute radius into formula

C = 2π(21.5)

Multiply 2 and 21.5

C = 43π

Answer:

8 feet

Step-by-step explanation:

Area of a trapezoid: h(a + b)/2

height, h = 3 ft

base 1, a = ?

base 2, b = 16 ft

area, A = 36 ft^2

36 = 3(a + 16)/2

72 = 3(a + 16)

24 = a + 16

8 = a

I hope this helps!

Answer:5cm

Step-by-step explanation: Area =length × breadth

Volume = length ×breadth ×height

180= Area ×height

180 = 36×h

180÷36=h

Ans 5

The mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

[tex]U=mgh[/tex]

Here, (m) is the mass of the body, (g) is the gravitational accelaration and (h) is the height of the body.

Here, for the second object, we have:

Let its mass be m kg, then:

[tex]U=mgh\\\\150 = m(9.8)(3)\\\\m = 50/9.8 \approx 5.10 \: \rm kg[/tex]

Thus, the mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

Learn more about the gravitational potential energy here;

https://brainly.com/question/15896499

Answer:

A = lateral face B = base C = 132

Step-by-step explanation:

To have the same number of pennies in both sides, we should add 6 pennies, so Charlotte is correct.

We want to have the same number of pennies on both sides, on one side we have 23 pennies, and in the other 17. So we will add x pennies to the last side, such that we get:

23 = 17 + x

This is a linear equation. To solve it, we need to isolate the variable x, we can do that by subtracting 17 in both sides:

23 - 17 = 17 + x - 17

6 = x

This means that the solution is 6, so we should add 6 pennies, meaning that Charlotte is correct.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

The domain of the function is a real number and the range of the function will be (-11, ∞).

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

More about the domain and range link is given below.

https://brainly.com/question/12208715

Answer:

The answer is (A) or 3/4.

Step-by-step explanation:

By plugging in a through d, the only one that gave an acurate answer was A.

2(6-2x) - 2x = 2(5+x)-4

turns into

2(6-2[3/4]) - 2[3/4] = 2(5+[3/4]) -4

Hope this helps!

Answer:

Step-by-step explanation:

In the question we're given with an equation i.e.,

And we are asked to find the value of x .

Solution :

[tex] \longmapsto \: 2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4 [/tex]

Step 1 : Solving parenthesis by multiplying it with 2 on both the sides :

[tex] \longmapsto \: 12 - \bold{4x} - \bold{2x} = \bold{10} + 2x - \bold{4}[/tex]

Step 2 : Adding like terms on left hand side and subtracting like terms on right hand side :

[tex] \longmapsto \: 12 - 6x = 2x + 6[/tex]

Step 3 : Transposing 12 to right hand side and 2x to left hand side :

[tex] \longmapsto \: -2x - 6x = 6 - 12[/tex]

On further calculations we get :

[tex] \longmapsto \: \cancel{ - }8x = \cancel{- }6[/tex]

Step 4 : Transposing 8 to right hand side :

[tex] \longmapsto \: x = \frac{\cancel{6}}{\cancel{8}} [/tex]

Step 5 : Cancelling 6/8 to their simplest form :

[tex] \longmapsto \: \pink{\boxed{x = \frac{3}{4} }}[/tex]

Answer:

18 hours

Step-by-step explanation:

Jena takes three times as long as Shirley.

3 Times 6 = 18

Answer:

Step-by-step explanation:

B and C is crorect answer tha ks