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.
Answer:
A. 3
Step-by-step explanation:
y - 9 = 3(x-2)
y = 3x - 6 + 9
y = 3x + 3
slope is 3x = 3
D. -12
Lol I think I've explained this enough times now so you know the process
Answer:
3x - 2.
Step-by-step explanation:
The length = area / width.
The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)
so the length = (3x - 2 )(x + 3 ) / x + 3
= 3x - 2.
let the number is 10x + 3.
then sum of its digits = x + 3.
from given condition, we have
x+3 = (1/7)* (10x + 3)
=> 7x + 21 = 10x + 3
=> 3x = 18
=> x = 6
therefore the number is 63.
