Answer:
72 students
Step-by-step explanation:
1. change 60% to decimal= 0.6
2. multiply 0.6 by 120
3. 72
Answer:
Step-by-step explanation:
We can divide polynomials by other polynomials by dividing each term by the denominator. Remember, when we divide a variable by itself, we must change the exponent in our answer according to exponent rules.
Hey!
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Solution:
Divide to get the decimal.
79 / 100 = 0.79
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Answer:
0.79
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Hope This Helped! Good Luck!
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:
the longest side is 25
Step-by-step explanation:
the equation would be x+ x+1 + 7 for the 3 sides of the triangle
x + (x+1) + 7=56
combine like terms
2x+8 = 56
subtract 8 from each side
2x = 48
divide by 2
x = 24
the sides are
x=24
x+1 = 25
7
the longest side is 25
