So hmm notice the picture below
that's the 30-60-90 rule, notice your triangle, the bottom-left-angle is a right angle, 90°, the angle atop is 30°, so the angle on the bottom-right has to be 60°, thus is a 30-60-90 triangle, and as you can see on the triangle on the left in the picture, those are the ratios for it
so 8 will be x, what is the longer leg or side in yours then? well, is
Answer:
127 per day
Step-by-step explanation:
Total pushups in 4 weeks = 3,556
4-week period( 7 days a week) = 4 × 7
= 28 days
How many push-ups did Joey do each day?
Push ups per day = Total push ups / Total number of days
= 3,556 / 28
= 127
Push ups per day = 127
Joey did 127 push-ups each day for a 4-week period( 7 days a week)
Answer: each eraser cost 5 dollors
Step-by-step explanation: Simplifying
25 = 5 + 4e
Solving
25 = 5 + 4e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-4e' to each side of the equation.
25 + -4e = 5 + 4e + -4e
Combine like terms: 4e + -4e = 0
25 + -4e = 5 + 0
25 + -4e = 5
Add '-25' to each side of the equation.
25 + -25 + -4e = 5 + -25
Combine like terms: 25 + -25 = 0
0 + -4e = 5 + -25
-4e = 5 + -25
Combine like terms: 5 + -25 = -20
-4e = -20
Divide each side by '-4'.
e = 5
Simplifying
e = 5
Answer:
2 thousands, 0 hundreds, 7 tens, 9 ones
Step-by-step explanation:
Use the identity:
tan^2 = sec^2 - 1
I attached a photo showing all the steps including the final answer.