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:
30%
Step-by-step explanation:
One simple way of finding out discounts is to simplify our answer by starting with 10% and subtracting from that.
If the original price were to have a 10% discount, it would be 4.70/10 for .47 per 10% off.
10% gives us 4.23, so let's take another 10% off by doing 4.23-.47, which is equal to 3.76. While lower, it's not our answer so lets do another 10%
3.76-4.7 = $3.29
With a total of 3 10%'s taken off, or in this case, 30% off, we can conclude that the discounted prices of $3.29 is 30% of the original price.
Answer:
x = 63
Step-by-step explanation:
It's Quadrilateral so:
360-90-72= x + x +22 (Cause that 2 triangle is isosceles)
2x=126
x=63
Answer:
0
Step-by-step explanation:
