Answer:
The candle will not use all the paraffin from the original block.
Step-by-step explanation:
The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.
If the height of the cone is 25 cm, then total volume of the cone shaped candle is
=
= 163.69 cubic cm.
Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.
Since, 192 > 163.69
Therefore, the candle will not use all the paraffin from the original block.
Answer:
The area of the rectangular playroom is 260 feet² .
Step-by-step explanation:
Given:
The perimeter of the rectangular playroom is 72 feet and it's width is 10 feet.
Now, to find its area we need the length .
So, putting the formula of perimeter we get it's length:
Let the length be l .
Perimeter = 2( length + width)


subtracting both sides from 20:


Dividing both sides by 2:


Length is 26 feet.
And, to get the area we put the formula of finding the area:



Therefore, the area of the rectangular playroom is 260 feet² .
Answer: -3
Explanation: In this problem, we're given the function f(x) = 2x + 1 and we're asked to find f(-2).
To find f(-2) or the value of the function or the value of the function when <em>x = -2</em>, we simply substitute -2 in for <em>x</em> in our function.
So we have f(-2) = 2(-2) + 1 or -4 + 1 which equals -3.
So f(-2) or the value of the function when x = -3 is -3.
Answer:
k = 9
Step-by-step explanation:
n = 3, so substitute 3 for n in the equation
k = 3(3)
k = 9
Answer:
1.5
Step-by-step explanation:
You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.