Answer:
10%
Step-by-step explanation:
Let the third number is X.
then first number = (100-30)% of X
= 70% of X = 7X/10
Second number is (63X/100)
Difference = 7X/10 - 63X/100 = 7X/10
So required percentage is, difference is what percent of first number
=> (7X/100 * 10/7X * 100 )% = 10%
Answer:
y=4
Step-by-step explanation:
if y+2=6, you can subtract 2 from both sides, giving you y=6-2. 6-2=4, which is y.
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
The one in the middle is the median.
50.
