Answer:
If 12 and 14 are both side lengths then we solve for the hypotenuse:
hypotenuse^2 = 12^2 + 14^2
hypotenuse^2 = 144 + 196
hypotenuse^2 = 340
hypotenuse = sq root (340) = 18.4390889146
If hypotenuse = 14, then third side equals:
(3rd side)^2 = 14^2 - 12^2
(3rd side)^2 = 196 -144
(3rd side)^2 = 52
3rd side = sq root (52) = 7.2111025509
Step-by-step explanation:
Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33
Answer:
Total cost = f + ad
Step-by-step explanation:
Given:
Number of days = d
Fixed charges = f
Cost per day = a
Find:
Equation
Computation:
Total cost = fixed cost + (Number of days)(Cost per day)
Total cost = f + ad
Answer:
Decreases by 2 degrees
Step-by-step explanation:
The expression that describes temperature as a function of latitude is:

This equation represents a linear relationship between latitude and temperature in a way that an increase in latitude causes a decrease in temperature. The magnitude of this decrease is quantified by the slope of the linear equation, which is -2. Therefore, the estimated temperature decreases by 2 degrees when latitude is increased by one.
Answer:
x = 79
Step-by-step explanation:
This is an isosecles triangle so the bottom angles have equal measure
and since the sum of interior angles in a triangle is equal to 180
2x + 32 = 180 subtract 32 from both sides
2x = 158 divide both sides by 2
x = 79