6 - 0.617. WHAT IS SIX MINUS 0.617

injured runners train on a special track at a rehabilitation center. The track is a square with a half circle on its left and ri

diamong [38]

Answer:

The length of the track is approximately 51.7 ft

The track has three sides of the square and the distance round a half of a complete circle

Step-by-step explanation:

The given track shape and measurements are;

The shape on the left side of the track = Square

The shape on the right side of the track = Half circle

The area of the square on the the left side of the track = 128 square feet

Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;

Area of the square portion of the track = s × s = s² = 128 ft²

Therefore, s = √(128 ft²) = 8·√(2) ft.

Whereby the side length of the square is bounded by the diameter of the half circle, we have;

Length of the diameter of the half circle = s = 8·√(2) ft.

The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.

The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.

Therefore;

The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft

The length of the track ≈ 51.7 ft

Which gives;

The track has three sides of the square and the distance round a half of a complete circle.

5 0

2 years ago

Johann fits a linear model to a set of data. The line of best fit has the equation y=0.331986x+5.33286. The scatter plot with th

Rasek [7]

Answer:

6.33

Step-by-step explanation:

Here, we are asked to give a residual value at x = 3

This mean we are to predict the value of y at the point x= 3

To do this, what we need to do is to input the value x = 3 into the line of best fit equation.

The line of best fit equation according to the question is;

y=0.331986x+5.33286

Substituting x here, we have

y = 0.331986(3) + 5.33286

y = 0.995958 + 5.33286 = 6.328818

Question asks to give answer to the nearest hundredth and that is 6.33

5 0

2 years ago

Kenny types 280 words. How long did he type for? A.4 B. 5 C.6 D. 7

zlopas [31]

Are you sure you didn’t miss anything while writing the question?

Cause we have nothing to go off. Everybody types differently so there is no way for us to say how long he typed for, unless we were given aprox how many words he wrote in a minute or something

5 0

2 years ago

Read 2 more answers

Crackers come in packages of 24. Cheese slices come in packages of 18. Andy wants one cheese slice for each cracker. Patrick mad

ANEK [815]

Patrick's statement is incorrect.

Explanation:

Crackers come in package of = 24

Cheese slices come in package of = 18

As given, Andy wants one cheese slice for each cracker so we will find the least common multiple of 24 and 18.

The L.C.M is 72.

So, Andy needs 72 crackers and 72 cheese slices.

Number of cracker packages needed= $\frac{72}{24}=3$

Number of cheese slice packages needed= $\frac{72}{18}=4$

Hence, Patrick's statement is incorrect. Andy needs 3 packages of crackers and 4 packages of cheese slices to make them even.

4 0

1 year ago

Identify the percent of change as increase or decrease then find the percent of change round to the nearest tenth of a percent (

morpeh [17]

Hello,

Here is the first answer:

The answer is "16.6 or 17%".

Reason:

636 x 100% = 16.6666666667%

Here is your second answer:

The answer is "50%".

Reason:

36 x 100% = 50%

Here is your third answer:

The answer is "43.3 or 43%".

Reason:

52120 x 100% = 43.3333333333%

Here is your fourth answer:

The answer is "328.5 or 329%".

Reason:

11535 x 100% = 328.5714285714%

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

7 0

2 years ago

6 - 0.617. WHAT IS SIX MINUS 0.617​

6 - 0.617. WHAT IS SIX MINUS 0.617