The value of 4 less than the product of 0.25 and x is greater than 6.

In Example 3, the track has 6 lanes that are each 1 meter in width. a. What is the outer perimeter of the track? Round your answ

son4ous [18]

Answer:

Incomplete question, check attachment for the necessary diagram

Step-by-step explanation:

Note in the attachment,

We have two identical straight line of lenght

L1 = L2 = 84.39m

We also have two identical semicircle or radius 36.5m to the first track lane

But this is not the radius of the circle, the radius of the circle will now be 36.5 plus the 6 track lane and we are told that one track lane is 1m, then, the track lane is 6m

So, radius = 36.5+6

r = 42.5m

Then, we need to calculate the perimeter of the semicircle using the formula of perimeter of a circle and dividing by2

P = 2πr/2

P =πr

P = 22/7 × 42.5

P = 133.57 m

Then, the arc 1 is equal to arc 2 which is equal to 133.57 m

A1 = A2 = 133.57 m

Now we have all the dimensions,

Then, the perimeter can be calculated by adding the length of the sides

The perimeter of the field = Lenght of the two straight lines plus the length of the two semicircle arc

P = L1 + L2 + A1 + A2

P = 84.39 + 84.39 + 133.57 + 133.57

P =435.923 m

So, to the nearest meter

P ≈ 436m

The perimeter of the track is 436m

5 0

3 years ago

What is the difference between a product and a multiple?

dsp73

Product <em /><em /><em>is the answer to a multiplication problem.

Multiple is the product of the number and whole numbers.

Hopefully this helps! :D :D
</em>

7 0

3 years ago

Read 2 more answers

Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than

Art [367]

Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

6 0

3 years ago

The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro

Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

(3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

Distance = $\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

$|RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024$

- The distance |RS| to nearest 10th of an inch is = 7.8 in

4 0

3 years ago

I need help finding missing angles

Citrus2011 [14]

Answer:

1 = 128 degrees

2 = 52 degrees

3 = 47 degrees

4 = 133 degrees

5 = 81 degrees

Step-by-step explanation:

angle 2 and 52 degrees are corresponding angles so they are equal.

angle 3 and 47 degrees are corresponding angles so they are equal.

angles 1 and 2 are supplementary angles so their sum is 180 degrees.

angles 3 and 4 are supplementary angles so their sum is 180 degrees.

angle 5 = 180 - 52 - 47 = 81 degrees

8 0

3 years ago