Answer:
the top one that's orange
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:
Step-by-step explanation:
The relationship between A, the area of the glacier in square kilometers, and t, the number of years the glacier has been melting, is modeled by the equation.:
We want to determine the value of t for which the area, A(t)=15 square kilometers.
Therefore, the time for which the area will be 15 sqyare kilometers is:
-20 ln(1/3) years.
Answer:
a. 0.25
b. 0.4
c. 0.66 repeating
d. 0.75
Step-by-step explanation:
a. 1/4 is equal to one quarter which is 0.25
b. 2/5 is equal to 4/10 which equals 0.40 or 0.4
c. 2/3 is 0.6666666 and goes on forever so we would call that a repeating decimal
d. 3/4 is equal to three quarters which would be 0.75
i hope this helps :)
Answer: <u>The 2 roads are 1.25 miles apart.</u>
Step-by-step explanation:
If 1 inch equals .25 miles, then you need to multiply .25 by 5.
Use proportions. Make sure the miles are on the same "side" of the fraction. Side meaning the top or the bottom
1 times X equals 1x
.25 times 5 equals 1.25
1.25 divided by 1 equals 1.25.
