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Naily [24]
3 years ago
10

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Mathematics
1 answer:
Harman [31]3 years ago
5 0

Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r

C = ((3.14 x 18) / 4) + 18

C = (56.52 / 4) + 18

C = 14.13 + 18

C = 32.13 miles

Hope this helps! :)

You might be interested in
Yearly healthcare expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard devi
Misha Larkins [42]

Answer:

The probability of healthcare expenses in the population being greater than $4,000 is 0.02275.

Step-by-step explanation:

We are given that yearly healthcare expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviation equal to $500.

Let X = <u><em>yearly healthcare expenses of a family</em></u>

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{ X-\mu}{\sigma} }  ~ N(0,1)

where, \mu = population mean expense = $3,000

            \sigma = standard deviation = $500

Now, the probability of healthcare expenses in the population being greater than $4,000 is given by = P(X > $4,000)

     P(X > $4,000) = P( \frac{ X-\mu}{\sigma} } > \frac{4,000-3,000}{{500}{ } } ) = P(Z > 2) = 1 - P(Z \leq 2)

                                                                  = 1 - 0.97725 = <u>0.02275</u>

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

6 0
3 years ago
Find the distance between (−4, −3) and (−2, 0). Round your answer to the nearest tenth.
andrew-mc [135]

Answer:Given the two points you entered of (-4, -3) and (-2, 0), we need to calculate 8 items:

Item 1: Calculate the slope and point-slope form:

Slope (m)  =   y2 - y1

  x2 - x1

Slope (m)  =   0 - -3

  -2 - -4

Slope (m)  =   3

  2

Calculate the point-slope form using the formula below:

y - y1 = m(x - x1)

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

Item 2: Calculate the line equation that both points lie on.

The standard equation of a line is y = mx + b where m is our slope, x and y are points on the line, and b is a constant.

Rearranging that equation to solve for b, we get b = y - mx. Using the first point that you entered = (-4, -3) and the slope (m) = 3/2 that we calculated, let's plug in those values and evaluate:

b = -3 - (3/2 * -4)

b = -3 - (-12/2)

b  =   -6

  2

-

 

-12

2

b  =   6

  2

This fraction is not reduced. Using our GCF Calculator, we see that the top and bottom of the fraction can be reduced by 6

Our reduced fraction is:

1

0.33333333333333

Now that we have calculated (m) and (b), we have the items we need for our standard line equation:

y = 3/2x + 3

Item 3: Calculate the distance between the 2 points you entered.

Distance = Square Root((x2 - x1)2 + (y2 - y1)2)

Distance = Square Root((-2 - -4)2 + (0 - -3)2)

Distance = Square Root((22 + 32))

Distance = √(4 + 9)

Distance = √13

Distance = 3.6056

Item 4: Calculate the Midpoint between the 2 points you entered. Midpoint is denoted as follows:

Midpoint =

 

x2 + x1

2

 

,

y2 + y1

2

Midpoint =

 

-4 + -2

2

 

,

-3 + 0

2

Midpoint =

 

-6

2

 

,

-3

2

Midpoint = (-3, -3/2)

Item 5: Form a right triangle and calculate the 2 remaining angles using our 2 points:

Using our 2 points, we form a right triangle by plotting a 3rd point (-2,-3)

Our first triangle side = -2 - -4 = 2

Our second triangle side = 0 - -3 = 3

Using the slope we calculated, Tan(Angle1) = 1.5

Angle1 = Atan(1.5)

Angle1 = 56.3099°

Since we have a right triangle, we only have 90 degrees left, so Angle2 = 90 - 56.3099° = 33.6901

Item 6:  Calculate the y intercept of our line equation

The y intercept is found by setting x = 0 in the line equation y = 3/2x + 3

y = 3/2(0) + 3

y = 3

Item 7: Determine the parametric equations for the line determined by (-4, -3) and (-2, 0)

Parametric equations are written in the form (x,y) = (x0,y0) + t(b,-a)

Plugging in our numbers, we get

(x,y) = (-4,-3) + t(-2 - -4,0 - -3)

(x,y) = (-4,-3) + t(2,3)

x = -4 + 2t

y = -3 + 3t

Calculate Symmetric Equations:

x - x0

z

 

y - y0

b

Plugging in our numbers, we get:

x - -4

2

 

y - -3

3

Step-by-step explanation:

4 0
2 years ago
Matthew and Anthony each have a video game collection. The number of video games in Matthew’s collection can be represented by x
Blababa [14]

The number of video games in Matthew’s collection is 12

To solve the problem, we need to know what simultaneous equations are

<h3>What are simultaneous equations?</h3>

These are a pair of equations which contain two variables.

Now, let

  • x = number of video games in Matthew's collection and
  • y = number of video games in Anthony's collection.

Given that the number of video games in Anthony’s collection is 5 times the number in Matthew’s collection, we have that y = 5x (1)

Also, the total number of video games in both collections is 72.

So, x + y = 72 (2)

Substituting equation (1) into (2), we have

x + 5x = 72

6x = 72

x = 72/6

x = 12

So,  the number of video games in Matthew’s collection is 12

Learn more about number of video games here:

brainly.com/question/12452860

5 0
2 years ago
A function h(x) is defined by the formula h(x)=x^3-3. What is the value of g(h(2))?
Sauron [17]

Answer:

g(h(2))= 5

Step-by-step explanation:

h(x)=x^3-3

g(2^3-3)

the 2 replaces the x

simplify

g(5)

7 0
3 years ago
A couch is 94 inches long. what is the length in feet and inches
enyata [817]
There are 12 inches in a foot.

Divide 94 by 12.

94 / 12 = 7.8333

So there are 7 feet and a few inches.

Now we multiply 12 to 7.

12 * 7 = 84

Subtract this from 94.

94 - 84 = 10

So there are 7 feet and 10 inches in 94 inches.
3 0
3 years ago
Read 2 more answers
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