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:
ABC & E are true statements about the graph
Given:
The sum of two angles 5x and 50 degrees equals 90 degrees.
To find: The value of x
Explanation:
Since the sum of two given angles equals 90 degrees.
So, we can write it as,
Solving for x we get,
Thus, the value of x is 8.
Final answer: The value of x is 8.
<span>You are given a card is picked from a standard deck of 52 cards. You are asked to determine the odds against and the odds in favor of selecting a 10. There are a total of 52 cards in a deck. In selecting a 10 of any card, you get four 10's in all kinds of cards (spade, clover, heart, diamond). So to solve for the probability of the odds in favor of selecting a 10, divide four by 52 and you get 10/52 or 5/26. To solve for the probability of the odds against selecting a 10, subtract four from 52 and you will get 48 and then divide it by 52 so 48/52 or 12/13. </span>
