Answer:
the answer you are looking for is -11s
Since the number before the number in the tenth place (7) is greater than 5 (8), you will be rounding up. So your answer is 9.80
Answer:
= 22.5°
= 67.5°
Step-by-step explanation:
Let’s create a system of equations for and .
Complementary angles are two angles that add up to 90°, so
Also, is thrice of g:
We can now substitute in for .
Now, we can find by substituting into either equation.
Hope this helped!
Answer:
36
Step-by-step explanation:
Calculation to Find two positive numbers
First step
Let the first positive number be a
Let the second positive number be b
Second step is to create the Equation
a^2+b= 54....... Equation (1)
b = 54-a^2........ Equation (2)
Third step is to find the product
Product= a(54-a)^2 = 54a-a^3
Fourth step is to differentiate
dP/dx = 54-3a^2
dP/dx = 0
Fifth step is to solve for 54-3a^2 = 0
Hence,
3a^2=54
a^2 = 18
Last step
a= √(18)
b= 54-(√(18))^2
b=54-18
b = 36
Therefore the two positive numbers are 36
Let the number of miles = m
Inequality
0.75*m + 20 ≤ 65
Solution
0.75*m + 20 - 20 ≤ 65 - 20 Subtract 20 from both sides
0.75*m ≤45 Divide by 0.75
0.75*m / 0.75 ≤ 45/0.75
m ≤ 60
Conclusion
The truck can be driven up to 60 miles.