F stands for first: the first term times are 5y and 3y respectively, 5y*3y=15y²
O stands for outside: 5y*(-1)=-5y
I stands for inside: (-4)*(3y)=-12y
L stands for last: (-4)*(-1)=4
add them up: 15y²+(-5y)+(-12y)+4=15y²-17y+4 is the answer.
New- original
----------------- *100
orginal
(53-48)/48 = 0.10416 * 100 = 10.416%
You make use of the given relationships to write an equation only involving "a".
... a = (sum of three numbers) × (1 + 0.25) . . . . a is 25% more than the sum of three numbers.
Then
... (sum of three numbers) = a/1.25 = 0.8a
The sum of the three numbers and a is given as 783.
... sum of 4 numbers = (sum of three numbers) + a
... 783 = 0.8a + a = 1.8a
... 783/1.8 = a = 435
The appropriate selection is (B) 435.
Answer:
cos A = 9/41
Step-by-step explanation:
cosine is a function that puts together the ADJACENT side of a triangle in a ratio with the HYPOTENUSE.
So from angle A the side length 9 is right next to A so it is the ADJACENT side. The HYPOTENUSE is the longest side ,that is the side length 41.
so cos A = ADJ/HYP
cos A = 9/41
It could be that the directions were confusing bc they said simplest radical form. Many, but not all right triangles have one or more sidesides that have a radical as part of their measure. This triangle doesn't. If you get a radical in the denominator of a ratio, be sure to rationalize so that there is no radical on the bottom.
Answer:

Step-by-step explanation:

