Answer:r = -1
Step-by-step explanation:
8+8r-(3+3r)=0
We add all the numbers together, and all the variables
8r-(3r+3)+8=0
We get rid of parentheses
8r-3r-3+8=0
We add all the numbers together, and all the variables
5r+5=0
We move all terms containing r to the left, all other terms to the right
5r=-5
r=-5/5
r=-1
Hope this helps
To find this answer, we need to multiply 3.57 by 12.
Therefore, 12 planks will cost $42.84.
The formula for the area of a triangle is Area=.5(b)(h)
So fill in what you know:
120=.5b*15
Then solve for b.
120=7.5b
b=16
Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.
Step-by-step explanation:
I suppose that the "legs" of a triangle rectangle are the cathati.
if L is the length of the shorter leg, 2*L is the length of the longest leg.
Now you can remember the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
Then there is one acute angle calculated as:
Tan(θ) = (shorter leg)/(longer leg)
Tan(φ) = (longer leg)/(shorter leg)
And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.
Then we need to find θ and φ.
Tan(θ) = L/(2*L)
Tan(θ) = 1/2
θ = Atan(1/2) = 26.57°
Tan(φ) = (2*L)/L
Tan(φ) = 2
φ = Atan(2) = 63.43°
Then the ratio between the larger acute angle and the smaller acute angle is:
R = (63.43°)/(26.57°) = 2.39
This means that the larger acute angle is 2.39 times the smaller acute angle.
-9/7
which would be -1 2/7, but slope is not done in mixed fractions.
