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)
Answer:
I would like to say 20 but I'm not sure
Hi rainy here !!! so lets see lets set up your problem like this
X/1280 = 60%/100 so lets cross multiply
100 times X =100X
60 times 1280 = 76800
100X=76800 now lets divide each side by 100
100 divided by 100 = 0
76800 divided by 100 = 768
X=768
So now we have to subtract to get the total amount so 1280 minus 768 = 512
512 is your answer :)
Hope I helped if u have any questions on how I did your problem feel free to message me or comment on my page bye !!!
Love ~Rainy~
Every number consists of digits. One digit is the least number of digits a number can have. The place value is the position of each digit in a number. <span>Digits are separated into groups of three by commas. So, a period is a group of three digits, but not any three digits. So, Drew's sentence is false. A period is a group of consecutive digits.</span>
