Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with how to handle this problem, and will teach you how to handle it on your own in the future.
First, let's evaluate the question.
"The circumference of a circle is 6.28. What is the area of a circle?"
Now, let's remember the different formulas for area and circumference.
The circumference is "2•3.14•r", while the area is "3.14•r•r".
We have our circumference, 6.28.
However, we are looking for the area. Since we have the circumference, we need to narrow down to the radius (so we can solve for the area).
Let's set this up as an equation;
C = 2 • 3.14 • r
Plug in the value for our circumference.
6.28 = 2 • 3.14 • r
Multiply 2 by 3.14 and r to simplify the right side of the equation.
2 • 3.14 • r = 6.28 • r = 6.28r
We're now left with:
6.28 = 6.28r
Divide both sides by 6.28 to solve for r.
6.28 / 6.28 = 1
6.28r / 6.28 = r
We are now left with the radius:
R = 1.
Now, we can solve for the area.
Remember our formula for the area.
A = r • r • 3.14.
Plug in 1 for r.
A = 1 • 1 • 3.14
A = 3.14.
Your area is 3.14 units^2.
I hope this helps, and has prepared you for your future problems in relation to this topic!
Hey there! :D
7(2x+6)=1
Use the distributive property. Multiply each number by each other.
7*2x= 14x 7*6= 42
14x+42=1
Subtract 42 on both sides.
14x= -41
Divide both sides by 14.
We know that 14 goes into -41 almost three times.
14*3= 42 (there is one left over)
-2 13/14 (we just need one more part of 14)
That is the simplified number.
I hope this helps!
~kaikers
Answer:
First one - the root is in the bottom of the fraction (just like it is with trees) and she wrote it backwards. 2 to the four over three is the third root of two the power of four and not the other way around. Just change that and it's good.
Second one - he said that ln(2) = 2 and that's just not true. No way of fixing that one, he shouldn't get high as often as he does I guess.
Step-by-step explanation:
<h3>
Answer: an = 6n - 15 (Choice C)</h3>
======================================================
Explanation:
This sequence is arithmetic
The first term is a = -9
The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)
Plug those values into the arithmetic nth term formula below
an = a + d*(n-1)
an = -9 + 6*(n-1)
an = -9 + 6n-6
an = 6n - 15
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As a check, let's plug in something like n = 1
an = 6n - 15
a1 = 6*1 - 15
a1 = 6 - 15
a1 = -9
We see that the 1st term is -9, which matches the sequence given
Now let's plug in n = 2
an = 6n - 15
a2 = 6*2 - 15
a2 = 12 - 15
a2 = -3
The 2nd term is -3. This also matches.
I'll let you check the other values of n to confirm the answer.
For this case we have a function of the form:
y = A (b) ^ x
Where,
A: initial amount
b: decrease rate
x: time
We have then:
b = 0.15
Therefore the percentage of decrease is:
(1-0.15) * 100 = 75%
Answer:
75%
option 3
