Decide if this statment true or false The area of a circle is 9 pi if and only if its radius is 3
Answers
Answer:
True is the most reasonable than False.
Step-by-step explanation:
If we go by "logic", we know that radius and anything that tells you how long, how far, how tall, etc; the value must always be positive.
The area of circle is expressed as:
[tex] \displaystyle \large{A = \pi {r}^{2} }[/tex]
Where r = radius
Since we know that radius cannot be negative going with logic and real basic geometry, the only radius that satisfies A = 9π is r = 3.
[tex] \displaystyle \large{A = \pi {3}^{2} } \\ \displaystyle \large{A = 9\pi }[/tex]
Now if we do not go by logic of real basic geometry, such as length being negative and all.
Since A = 9π, substitute A = 9π in.
[tex] \displaystyle \large{9\pi = \pi {r}^{2} }[/tex]
Divide both sides by π.
[tex] \displaystyle \large{ \frac{9\pi}{\pi} = \frac{\pi {r}^{2} }{\pi} } \\ \displaystyle \large{ 9 = {r}^{2} }[/tex]
Square both sides, adding plus-minus, apply QE.
[tex] \displaystyle \large{ \pm \sqrt{9} = \sqrt{ {r}^{2} } } \\ \displaystyle \large{ \pm 3 = r}[/tex]
So r = ±3 or radius = +3 and -3
So r can be both 3 or -3 if we do not follow logic itself.
However, the answer should be true instead of false as radius being only positive sounds more logical and reasonable rather than radius being negative.
Related Questions
Find the original price given the total amount and tax rate.
Total price: $128,500
Tax rate: 5.5%
Answers
5, -15, 45, -135 identify the common ratio , then write the sequence as a geometric series
Answers
Answer:
Common ratio: -3
Geometric sequence: an=5(-3)^n-1
Step-by-step explanation:
Each number multiplied by -3 gets the product of the next number. (5*-3= -15)
One of Teddy's jobs at home is to pump gas for his family's sedan and truck. When he fills up the sedan with 12 gallons of gas, he notices that it costs him $50.28. How much does one gallon of gas cost? This is also called the unit rate. Explain how you found your answer.
Answers
Answer:
4.19$
Step-by-step explanation:
If 12 gallons cost 50.28$
then 1 gallon would be (50.28/12)$
which equals to 4.19$
The Teddy's jobs at home is to pump gas for his family's sedan and truck the cost of gas of one gallon is:
=> The unit rate is:
=> $4.19 per gallon
We have the following information available from the question is:
One of Teddy's jobs at home is to pump gas for his family's sedan and truck.
When he fills up the sedan with 12 gallons of gas, he notices that it costs him $50.28.
Now, According to the question:
The cost of gas of one gallon is:
=> The unit rate is:
50.28/12
=> $4.19 per gallon
Learn more about Gallon at:
https://brainly.com/question/33681372
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SOMEONE PLZZZ HELPPPP
Answers
Answer:
m:3/2 b:0 or 1
Step-by-step explanation:
I believe its asking what the m and b is in this formula: mx+b
so 3/2 and 0 or 1?
Answer:
in Y = mX + b
in relation to Y = -3/2X + 0
m = -3/2
b = 0.
Five students are running for Junior class president. They draw straws to see who will go first, second, etc. In how many different orders could they give their speeches?
Answers
===================================================
Explanation:
There are 5 choices for the first selection, 4 choices for the second, etc etc until we reach 1 for the last selection. We have the countdown {5,4,3,2,1}. We'll multiply those values together to get our answer.
5*4*3*2*1 = 120
This operation of starting with some integer, counting down and multiplying along the way, is done so very often that it's given a name which is "factorial". The shorthand notation is to use an exclamation mark. So we'd say 5! = 120
What is the length of the missing sides?
Perimeter=14
Answers
8 + 6 =14
what property does have to make it more suitable for water pipes than metal pipes?
Answers
Answer:
Copper
Explanation:
Copper would be beacuse it's non-toxic, it's antimicrobial, it's rustproof, and it is affordable.
HELP NEEDED QUICK
Find the measure of the missing angles.
103°
f
е
d =
Answers
Answer:
77 degrees and 90 degrees
The angle d is shown as 90 by the perfect right angle. The angle e has to equal 180 when added to f. So 180-103=77.
FRACTIONAL INDICIES - PLEASE HELP
Answers
Answer:
1) 2/5
b) 5/2
2) C
3) 1/3
4) X = - 3/2
5) middle right left
The table shows the cost of movie tickets based on the number of tickets purchased. PLEASE HELP ME
Number of Tickets Cost
2 $17.00
3 $25.50
4 $34.00
5 $42.50
Based on this proportional relationship, find the constant of proportionality (r). Using the value for r, enter an equation that will calculate the cost (y) of x movie tickets in the form of y=rx. The answer is not y=8.5 Please help the one who gives me the correct answer will get brainliest
Answers
The proportional relationship is given by y = 8.5x
Two variables are said to be proportion if an increase/decrease in one variable causes an increase/decrease in the other variable.
Let x represent the movie tickets and y represent the cost.
Since x and y are proportional, hence:
y ∝ x
y = rx
Where r is the constant of proportionality.
From the table to find x, when y = 17, x = 2, hence:
17 = 2r
r = 8,5
y = 8.5x
The proportional relationship is given by y = 8.5x
Find out more at: https://brainly.com/question/17178834
There are 40% more black balls than white balls in a bag.
Work out the ratio of black balls to white balls.
Give your answer in its simplest form.
Answers
Answer:
there are 40% black ball a
white ball we don't know
so, we let = x
40\100 × x
now we cutting
ans is 10x
m ( n + r ) = 5p , mark m as the subject of the formula
Answers
[tex]\\ \sf\longmapsto m(n+r)=5p[/tex]
Take n+r to right.Multiplication turned to division[tex]\\ \sf\longmapsto m=\dfrac{5p}{(n+r)}[/tex]
we are done
Help me plzzzzzzzzzcdvvebd
Answers
copy and paste it to Jiskha Homework Helper there are connexus students there to help only use the answer from people who said that ther person answer is correct im a connexus student aswell so it work for me. Hope this helped may you mark me as brainlyest please and thank you and have a blessed day night afternoon what every it is for you
What is 40% of 60? someone help pleaseee
Answers
Answer:
it is use a calculator and type 60 divided by .4
Answer:
24% or just 24
Step-by-step explanation:
if wrong pls forgive me
hope it helps
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what is 2.04 + 0.07 as a answer
Answers
Answer:
2.11
2.04+0.07=2.11
Answer:
2.11
Step-by-step explanation:
2.04 + 0.07
2.11
Solved using: Math
Solve the proportion using the multiplication property of equality.
E 100
OL
m =
(Type an integer or a decimal.)
Answers
A recipe for lemonade calls for 2 1/2 quarts of water. How many cups of water should you use for the recipe?
Answers
Answer:
10 cups
Step-by-step explanation:
1 quart=4 cups
Miss lin bought 40 berry,strawberry,chocolate cookies.The ratio of number of berry cookie,strawberry cookie, chocolate cookie was 7;5;8.find the number of chocolate cookies.
Answers
Answer:
20 chocolate cookies
Step-by-step explanation:
7 +5 + 8 + x = 40
7+5+8= 20 cookies non chocolate
subtract 20 from both sides
40-20= 20 chocolate cookies
Simplify | 2.35 – 4.89 | + | 8.39 – 3.72 |.
Answers
Answer:
2.13
Step-by-step explanation:
Step-by-step explanation:
[tex]| 2.35 – 4.89 | + | 8.39 – 3.72 |\\\\|-2.54|+|4.67|\\\\2.54+4.67\\\\\boxed{\underline{7.21}}[/tex]
solve this please. i need an answer
Answers
Which of the following is a perfect square number? *
222222
23453
1681
1057
Answers
Answer:
√1681=41
Step-by-step explanation:
please mark me as brainlest
................. :(
Answers
Answer:
its - 1 31 over 33
Step-by-step explanation:
divide 0.63512 by 13.6
Answers
Answer:
21.413
Step-by-step explanation:
Change the divisor 0.63512 to a whole number by moving the decimal point 5 places to the right. Then move the decimal point in the dividend the same, 5 places to the right.
We then have the equations:
1360000 ÷ 63512 = 21.413
and therefore:
13.6 ÷ 0.63512 = 21.413
Both calculated to 3 decimal places.
Two step inequalities:
The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going to use. If they charge $15 for each ticket, how many tickets do they need to sell in order to raise at least $1000?
Answers
Answer:
67 tickets (with $5 extra)
Step-by-step explanation:
1000÷15= Number of tickets
How should I show my work? (The answers are there, I just need to know how to show the work) NO LINKS
Answers
Answer:
I'm not sure directly but try spliting them up first.
Step-by-step explanation:
Sorry!
Select the statement that is true. (2 points)
a
0.688 < 0.602
b
0.688 > 0.602
c
0.688 = 0.602
d
0.602 > 0.688
Answers
Answer:
b is the answers for the question
Step-by-step explanation:
please mark me as brainlest
How many groups of 3/8 can fit into 3/4. Notice it is not asking how many 1/8 you can fit
Answers
Answer:
2
Step-by-step explanation:
You can fit two groups of 3/8. 3/4 is equivalent to 6/8. 3/8 goes into 6/8 two times therefore the answer is two groups of 3/8.
Yeah bit confused need help
Answers
Answer:
[tex]x = \frac{1}{2}y[/tex] or [tex]y = 2x[/tex]
Step-by-step explanation:
Basically, x is 2 times smaller than y, or
y is 2 times larger than x.
For example, when x equals 4, y is 2 times greater, so y = 4 * 2 = 8
Another example:
When y equals 12, x must be 2 times smaller than that, so x = 12 / 2 = 6
I don't know which one you're looking for, but try putting in
x = 1/2y or y = 2x
Hope this helped!
Answer:
im not quite sure but i think it's asking for the gradient so i think it's 2
Step-by-step explanation:
becasue gradient = rise/run
so 10/5
hope this helps :))
Please help :)
40 percent of the leaves are still green. If there are 12,000 total leaves, how many are no longer green?
Answers
Answer:
4,800
Step-by-step explanation:
40% of 12000 = 4800
given -3nsquared -n +14
find the first four terms of the sequence
Answers
Answer:
-3,n²,-n,14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks