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:
D
Step-by-step explanation:
The new one would have a long gap between the Q3 and the maximum of the box and whisker plot, therefore it should create a positive skew.
Answer:
Zero is nor a positive or negative number, so im guessing the answer is 0.
Step-by-step explanation:
Answer:
78 255.20
Step-by-step explanation:
The formula for compound interest is:
A = P(1 + r)ⁿ
Data:
P = 58 000
APR = 3.75 %
t = 8 yr
Calculations:
n = 8 × 12 = 96
r = 0.0375/12 = 0.003 125
A = 58 000(1+ 0.003 125)⁹⁶
= 58 000 × 1.003 125⁹⁶
= 58 000 × 1.349 2275
= 78 255.20
Your balance will be 78 255.20.
Answer:
1/3
Step-by-step explanation:
7/8 x 1/3 =7/24
You divide 7/24 by 7/8