This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
20% psyche test scores
Step-by-step explanation:
Given that every week, Bob plays the guitar for three hours, and his grade on each psych test is 75 percent.
Last week, after playing for three hours, Bob considered playing for an additional hour.
He decided to play for another hour and cut his study time by one hour, but last week his psych grade was 55 percent.
Bob's opportunity cost of the fourth hour of playing the guitar
=His cut in scores in psyche test
=20%
$c/8
You would substitute the c for the pay per hours and follow the expression through to determine each hour's pay, but since it's not asking for an equation, you don't need to add =(amount) to the end
Answer:
329.5
Step-by-step explanation:
From the table we see that the common difference d = 0.5 - (-6.5)
= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.
The first term a1 = -6.5.
The nth term = a1 + (n - 1)d so for our sequence we have:
49th term = -6.5 + (49 - 1)7
= -6.5 + 48 * 7
= -6.5 + 336
= 329.5 (answer).
Square ABCD of the translation T-3,-8(x,y)
