Answer:
<h2><u>Required</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>
Ratio = Width: Height
Ratio = 720 : 540
Cancelling 0
Ratio = 72 : 54
Cancelling by 9
Ratio = 8 : 6
Cancelling be 2
Ratio = 4 : 3
Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42

The minimum and maximum temperatures in the house are 68.5°F and 76.5°.
Step-by-step explanation:
(a) Compare your quadratic for h to the general quadratic ax² +bx +c. Perhaps you can see that ...
a = -16
b = 128
You use these numbers in the given formula to find the time when the ball is highest.
t = -b/(2a) = -128/(2(-16)) = 4 . . . . . . the time at which the ball is highest
(b) Evaluate the quadratic to find the height at t=4.
h = -16(4)² +128(4) +21
h = -256 +512 +21
h = 277
The maximum height of the ball is 277 ft.