Cos(Angle) = Adjacent leg / Hypotenuse
Cos(X) = 3.5/4.6
X = arccos(3.5/4.6)
X = 40.46 degrees.
Answer:

(B) Decrease by 12.5%
Step-by-step explanation:
For this case we know that the revolution is proportional to the circumference.
And we know that the average number of revolutions of 32 inch tires for Tuesday is higher than the original value of 28 inch tires for Monday.
We know that we have x mi/hr, so we can select a value fo x in order to find the average revolutions with the following formula:

Let's say that we select a value for x for example x= 28*32 = 896, since this value is divisible by 32 and 28.
If we find the average revolutions per each case we got:
Tuesday:

Monday:

And then we can find the % of change like this:

And if we replace we got:

Because we are assuming that the initial amount is the value for Monday and the final value for Tuesday.
So then the best answer for this case would be:
(B) Decrease by 12.5%
Answer:
A
Step-by-step explanation:
Assuming the triangle is right, use Pythagoras' identity to find N
The square on the hypotenuse is equat to the sum of the squares on the other 2 sides.
Here the hypotenuse = 73, thus
N² + 48² = 73², that is
N² + 2304 = 5329 ( subtract 2304 from both sides )
N² = 3025 ( take the square root of both sides )
N =
= 55 → A
Answer:
List #2
Step-by-step explanation:
You can use a factor tree to find all the factors of 18:
18: 1x18, 2x9, 3x6 =1,2,3,6,9,18