500 in 2:3 is saying that there are five different parts (2 + 3)
This means that 500 needs to be split into five, which is 100.
After that all you need to do is put 2 'sections' on one side and 3 on the other.
For example, 2 : 3 = 2( x 100) : 3( x 100)
= 200 : 300
Answer:
A) 113 m²
Step-by-step explanation:
Use the formula for area of a circle.
Area of a circle = πr²
π = pi = 3.14 (rounded)
r = radius
² = the power of 2, or the radius (in this case) multiplied by itself.
Note that the radius is given, and it is 6. Plug in 6 for the radius:
A (circle) = π(6)²
First, solve the power. Multiply 6²:
6² = 6 * 6 = 36
Next, multiply 36 with π (3.14):
36 x 3.14 = 113.04
A) 113 m² is your closest answer.
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Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function
Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.
Answer:
V = (1/3)(π)(6 in)²(10 in) = 120π in³
Step-by-step explanation:
The volume of a cone of radius r and height h is V = (1/3)πr²h.
Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³
Answer:
$5.60
Step-by-step explanation:
interest = 3.5% = 3.5 ÷ 100 = 0.035
So 3.5% of $400 = 0.035 x 400 = $14
If Jonah spend 3/5 of the interest, then he gives his brother 2/5 of the interest each year.
2/5 of $14 = 2/5 x 14 = $5.60
