Answer:
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that 
, where 
is the hypotenuse of the triangle, and 
and 
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of 
, we have:
Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 <em>Subtract money for savings</em>
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 <em>Add taxes</em>
160 - 143.33 = $16.67 <em>Subtract money for purchases from money left after savings</em>
Answer:
C = km
k = 95
C = 665
Step-by-step explanation:
Calories burned varies directly to miles run.
Let
C = calories burned
m = miles
C = km
Dustin burns 190 calories for every 2 miles he runs
C = 190
m = 2
C = km
190 = k2
Divide both sides by 2
k = 95
equation for the direct variation.
C = km
Find how many calories Dustin will burn after running 7 miles.
C = ?
m = 7
k = 95
C = km
C = 95 × 7
= 665
Answer:
negative because any positive number multiplied by a negative number will be negative, the only way to make it positive is to multiply a negative number by another negative number.
Step-by-step explanation:
