Answer:
b=4
Step-by-step explanation:
4b + 5 = 1 + 5b
Subtract 4b from each side
4b-4b + 5 = 1 + 5b-4b
5 =1+b
Subtract 1 from each side
5-1 = 1-1+b
4 =b
Answer:
She spent 5 hours mowing lawns.
Step-by-step explanation:
To solve, we will just use some algebra
8h + 20 = 60 | Subtract 20 from both sides
8h = 40 | Divide both sides by 8
h = 5
We can confirm this by plugging it back into the original formula.
8(5) + 20 = 60
40 + 20 = 60
60 = 60
Answer: 2500 grams
Step-by-step explanation: 2.5 x 1000 = 2500
SOH CAH TOA tells you
... cos(B) = a/c
... 4/5 = 8/c
... c = 10 . . . . . multiply by 5c/4
By the Pythagorean theorem,
... b = √c² -a²) = √(10² -8²) = √36 = 6
The lengths of the other two sides are: b = 6, c = 10.
_____
You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.
Answer:
11/50
Step-by-step explanation: