The correct answers is 43.33%
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be
So, we have the following proportion:
that you can read as: "if an angle of 360 corresponds to a distance travelled of 
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have
Answer:
You will need 34 square feet of carpet
<h3>
Answer: Choice A</h3>
Explanation:
You basically plug in x = 20, which is the same as saying "replace x with 20". Then you perform arithmetic to simplify each expression. Both simplify to 90, so angle 1 and angle 2 are the same measure. These angles are alternate interior angles, so we'll use the converse alternate interior angle theorem to conclude the lines are parallel.
Note: the alternate interior angle theorem says that if we have parallel lines, then the alternate interior angles are congruent. So the converse goes in reverse of this.
Correct probability : 3/7
To find the correct probability, Noura needs to count ALL of the times she tossed the coin. To find that we just add 15 + 20, which equals 35.
Then to calculate the probability she will get heads is out the number of heads landed over the amount of times the coin was flipped.
15/35
We then simplify this fraction by dividing the top and bottom both by 5.
This leaves us with the answer of 3/7.
