Answer:
C. 8 miles per hour
Step-by-step explanation:
It takes Diego
of an hour to complete the lap =
x 1 hour =
hour
Distance of the track = 1 mile long
The speed of an object expresses the ratio of distance moved to time taken to cover the distance.
i.e speed = 
= 
= 8
Speed = 8 mile per hour
Therefore, Diego's bike has a speed of 8 miles per hour.
Answer:

Step-by-step explanation:
The formula of a volume of a sphere:

R - radius
We have

Substitute and solve for R:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm](https://tex.z-dn.net/?f=125%3DR%5E3%5Cto%20R%3D%5Csqrt%5B3%5D%7B125%7D%5C%5C%5C%5CR%3D5%5C%20cm)
The formula of a Surface Area os a sphere:

Substitute:


The blue one and the small purple one are similar because they have the same angles.
<u>Answer:</u>

x = 0.76
<u>Step-by-step explanation:</u>
We can write the area of steel before it is cut as:
Area = 
Expanding it by multiplying the brackets to get:
Area = 
Area area of steel before cutting = 
Then we need the area of steel after 11*6 inside dimensions are cut out:

This area should be close to 28 cm
, hence the equation becomes:

Moreover, plotting the graph gives us a value of x = 0.76.
Answer:
and 
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x =
=
← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x =
=
← in simplest form