Answer:
The radius 10 cm
Step-by-step explanation:
∵ The volume of the cone = 1/3 πr²h
∵ v = 1256 cm³
∵ h = 12 cm
∴ 1256 = 1/3 π (12) r²
∴ r² = 1256 × 3/12π = 100 cm
∴ r = √100 = 10 cm
Answer:
3 t-shirts
Step-by-step explanation:
<u>Lets recap the information we will use from this problem:</u>
The ticket to the festival costs $87.96
T-shirts are $30.00
She is taking $200.00 to the festival
Now we can solve. First we will subtract the price of the ticket from the total amount of money she has.
$200.00 - $87.96 = $112.04
Now that she has payed for the ticket, we want to find out how many shirts she can buy with the remainder of her money. To find this, we will set up an equation like this:
(Amount of money left) ÷ (Cost of 1 t-shirt) = (How many t-shirts she can buy)
Insert your numbers: $112.04 ÷ $30.00 = 3.73466666667
Because she cant buy a fraction of a t-shirt, we ignore the decimals on the end of this number. Therefore, Staci can purchase 3 t-shirts.
Answer:
first one is 32
the second one is 53
Step-by-step explanation:
Answer:
Distance between the points = 10 units
Step-by-step explanation:
Given points:
(0,-2) and (-8,-8)
To find the distance between the two points.
Solution:
Applying distance formula to find the distance between the points.
For points 
and 
the distance is given as:
Plugging in the given points in the formula.
Since distance is always positive. So 
units.
Answer:
The degree of fastness by which the water is rising is 210 seconds
Step-by-step explanation:
The volume of the trough when the water depth is 20 cm is first calculated
Volume of the trough (Trapezoidal Prism) = LH (A + B) × 0.5
Where L is the length of the trough, H is the height of the trough and A and B are parallel width of the top and bottom of the trough
Volume of the trough = 7 × 0.2 (0.3 + 0.7) × 0.5 = 0.7m³
The fastness at which the water is rising is = Volume ÷ water flow rate = 0.7 ÷ 0.2 = 3.5 min = 210 seconds
