8f + 3r > 8r + 3f
8f + 135> 360 + 3f
125 : 5 = 25
each folder was .70
Answer:
Step-by-step explanation:
Let the height of the largest triangle marked be 
. We can set up the following equation:
(if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)
This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to . Therefore, we can use the Pythagorean theorem to solve for 
:
(you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)
Segment 
consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):
Using Pythagorean Theorem:
Therefore, we have:
(2x+7)+(3x+58)=90
5x+65=90
5x=25
x=5
Answer:
g(x) = - ( x^2)
Step-by-step explanation:
opposite of function <em>f</em>
Answer:
10d² + 8
Step-by-step explanation:
Given
(11 + 4d²) - (3 - 6d²) ← distribute parenthesis, second by - 1
= 11 + 4d² - 3 + 6d² ← collect like terms
= (4d² + 6d²) + (11 - 3)
= 10d² + 8
