Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
Answer:
Step-by-step explanation:
To make this easier, to get ride of the fractions, we can multiply both sides by 4
now use the distributive property
now we want to isolate x to one side and isolate all the constants to the other
now simplify
to test, we can plug in back to the original
it works
<span>Let the price of mini golf be $x
Let the price of batting cage be $y
Sylvester:
Price for 5 rounds of mini golf = 5x
Price for 4 rounds of batting cage =4y
Total price paid =$60
Therefore the required equation is:
5x+4y=60 ----------(1)
Lin:
Price for 3 rounds of mini golf =3x
Price for 6 rounds of batting cage =6y
Total price paid = $45
Therefore the required equation is:
3x+6y=45 ----------(2)
Let's use elimination method to find the prices.
Multiply the first equation by 3
15x + 12y =180 -------(3)
Multiply the second equation by 5
15x +30y=225 --------(4)
Subtract equation (4) from equation (3) to eliminate x
15x+12y=180
15x+30y=225
-___-___-________
-18y = -45
y=45/18 =2.5
Substituting y in equation (1)
5x+4(2.5)=60
5x+10=60
5x=50
x=50/5 = 10
Price of mini golf =$2.5
Price of batting cage =$10.00</span>
Answer:
5.213
Step-by-step explanation:
bruh just search up right triangle calculator
Answer:
no
Step-by-step explanation:
6^2+7^2=9^2
36+49=81
no its not a right triangle