Answer:
b = 7√3
Step-by-step explanation:
This 30°- 60°- 90° triangle has the proportions:
side opposite of the 30° angle = x
side opposite of the 60° angle = x√3
side opposite of the 90° angle = 2x
____________________________
Given the side opposite of the 30° angle which is 7 units long, this can be thought of as x. Knowing the proportions of the other sides, we can find b knowing that this is the side opposite of the 60° angle which is x√3.
Since x = 7, x√3 = 7√3, and therefore
b = 7√3.
1) -1
2) 7.5/3
3) -3/4.5
4) -3
5) 4/3
6) -8/1.6
7) 7/1.4
Answer:
6.67 miles per hour
Step-by-step explanation: Im 97.99% sure this is right!! :)
Answer:
y = √(3² + 3²)
9 = √(5² + x²)
Step-by-step explanation:
Diagram 1:
Hypotenuse = y
Opposite = 3
Adjacent = 3
y² = 3² + 3²
y = √(3² + 3²)
y = √(9 + 9)
y = √18
Diagram 2:
Hypotenuse ² = known leg² + unknown leg²
Hypotenuse = 9
Known leg = 5
Unknown leg = x
9² = 5² + x²
9 = √(5² + x²)
9² = 5² + x²
9² - 5² = x²
x² = 81 - 25
x = √ 56
Answer:
x=20
m<B=92 degrees
m<C=40 degrees
Step-by-step explanation:
48+6x-28+2x=180
20+8x=180
8x=160
x=20
(6(20)-28)=92
2(20)=40
So, x=20, m<B=92 degrees and m<C=40 degrees
