.41, 3/8, .32, 1/4 is the correct order
Answer:
a) r = √V/6π
b) r = 8 inches
Step-by-step explanation:
a) The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the formula for r .
Solving for r means making r the subject of the formula
= V=6πr²
Divide both side by 6π
V/6π = 6πr²/6π
r² = V/6π
r = √V/6π
b) Then find the radius of the cylinder when the volume is 1206 cubic feet. Round your answer to the whole number.
r = √V/6π
V = 1206 ft³
r = √1206/6π
r = √(63.98028712294193)
r = 7.9987678503 inches
Approximately r = 8 inches
Answer:
Step-by-step explanation:
divide y by x
in a table and coordinate pair, which is something like (0,4), x always comes first. So, in this table x is the time in seconds and y is the distance in meters. 120/4=30 meters per second. For the second part of the table, since we know what the slope is, or the constant rate of change, 30, we can multiply 30 by 25 which is 750. You can also use the equation y=mx, m is the slope, and x is a point on the coordinate pair. For example, in the second table, y=30(25). For the last part of the table, you can use the same equation. 270=30x. We try to get x alone so we do, 270 divided by 30 which is 9. So a cheetah runs at 270 meters per 9 seconds.
Answer: -5
Step-by-step explanation:
i=integer
i+3(i+1)=-21
i+3i+3=-21
4i+3=-21
4i=-24
i=-6
i+1=-6+1=-5
The answer is <span>$103.
To determine </span><span> how much Eileen will spend on gasoline, first we need to calculate how many gallons she needs.
If she drives 850 miles and </span><span>her car gets 23 miles per gallon, we can use the proportion:
850 miles : x gallons = 23 miles : 1 gallon
Crossing the products:
x = 850 miles </span>× 1 gallon ÷ 23 miles
x = 36.96 gallons
Thus, Eileen needs 36.96 gallons of gas. If the cost per gallon of gas is$2.79, using the proportion:
36.96 gallons : x = 1 gallon : <span>$2.79
x = 36.96 gallons </span>× $2.79 <span>÷ 1 gallon
x = </span>$103.12
x ≈ $<span>103</span>
