Answer:
12√2, 12√2
Step-by-step explanation:
For x:
We have the hypotenuse and are trying to find the angle opposite to 45 degrees. Using sine = opposite / hypotenuse we get sin45=x/24 so x = 24sin45 = 24 * √2/2 = 12√2
Beacuse the angle is 45 degrees we know that the the missing angle is also 45 degrees (180 - 90 - 45 = 45) so x and y must be the same (the triangle is isosceles) so y is also 12√2
Answer:
Our equation is:
y = f(x) = 2.5*x
The domain is the set of the values of x.
The range is the set of the values of y.
They must sell between 55 and 60 candy grams to meet their goal.
If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.
Then the domain is:
D: 55 ≤ x ≤ 60.
Now that we know the domain, we can find the range.
As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:
y = 2.5*55 = 137.5
And the maximum will coincide with the maximum in the domain:
y = 2.5*60 = 150.
Then the range is:
y = 137.5 ≤ y ≤ 150
He received 102.18 dollars
Answer:
# 1,3 and 6
Step-by-step explanation: