Need to be sure. The area of a circle is 9409pi square centimeters. Find the length of the radius. Round to the nearest whole number. I wrote the answer down but I'm not sure if I did it right.
Answers
Hi Student!
Looking at the question, lets extract the important values and information that we believe will be important for this problem. First of all, we are given the area of a circle which is 9409π and we are told to find the radius (rounding it to the nearest whole number).
Now that we have gathered our information, we can move onto the part of solving for the unknown using the area of a circle formula. We can do this by just plugging in the information that we have and solving for r which is the radius.
Plug in the values
[tex]A = \pi\ *\ r^2[/tex][tex]9409\pi\ cm^2= \pi\ *\ r^2[/tex]Divide both sides by pi to get r^2 by itself
[tex]\frac{9409\pi\ cm^2}{\pi}= \frac{\pi\ *\ r^2}{\pi}[/tex][tex]9409\ cm^2= \ r^2}[/tex]Square root both sides to get down to just r
[tex]\sqrt{9409\ cm^2}= \sqrt{\ r^2}[/tex][tex]97\ cm= r[/tex]Therefore, our final answer is that the length of the radius is 97 centimeters which we were able to find using the area and the area of a circle formula.
Related Questions
need some help!
please be specific on how to do it
Answers
Answer:
Your first step in solving the system would be to substitute the value of a variable into one of the equations
Step-by-step explanation:
We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations
If we were to insert -1/3x + 4 for y, our new equation would be:
x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)
Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?
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Answer:
The answer is attached.
5x - 8y = - 17
y + 5 = 3x
To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4)
Answers
Answer:
5x - 8y =17
y+5 =3x
Answer | (3,4)
Step-by-step explanation:
I used a calculator
is 10 times as much as 20 1/10 of 2,000?
Answers
Answer:
IT IS 43./45455/.34 LIKE WHEN U ADD 10 TIMES 10 AND DIVIDED 2,000 FROM 20 U THAT ANSWER
Match each graph on the left with the functions on the right.
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The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
What is the definition of a linear equation?
It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.
When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.
The four graph are attached in the attachment.
Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
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please help me I will give brainliest
Answers
Answer:
potential to kinetic energy
32 - 5v = 3v + 8
Please answer this lol I only have 30 minutes left on my skills-
Answers
Answer:
3
Step-by-step explanation:
32 - 5v = 3v + 8
Subtract V from both sides
32 -5v = 3v + 832 -3v = -3v + 8So . .
= 32 -8v = 8
Now . .
Subtract 32 from both sides
-32 -8v = 32-8 = -24= -8v = -24Now divide to get your answer!
-24 / -8 = 3
A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation? one-twelfth four-thirds 3 12
Answers
The value of the constant of variation is 3. The correct option is the third option- 3
VariationFrom the question, we are to determine the constant of variation.
Let the constant of variation be k
From the give information,
A quantity h varies directly with w and inversely with p
That is,
[tex]h \propto \frac{w}{p}[/tex]
Introducing the constant of variation, k, we get
[tex]h = k\frac{w}{p}[/tex]
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
[tex]2 = k \times \frac{4}{6}[/tex]
[tex]6\times 2 = 4k[/tex]
[tex]k = \frac{6\times 2}{4}[/tex]
k = 3
Hence, the value of the constant of variation is 3. The correct option is the third option- 3
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Answer:
Answer is 3
Step-by-step explanation:
~Hope this helps!
E
Describe the transformation that maps figure RSTU onto figure RSTU
611
6
4
S
U
S2
R
E
R
6-4-2 O
2
4
6
Drag the labels to explain your answer. Labels may be used once more than once, or not at all
Figure RSTU is the image of figure RSTU after a translation
units left and
units down, and a reflection across
the
#1
.: 2
14
+ X-axis
- y-axis
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Answer:
8 then 2 and reflection on y axes
Can you help me plesae !?
Answers
Answer: Heyaa! ~
Your Answer is... 26.8
Step-by-step explanation:
The estimated answer is D. 27!
Hopefully this helps you! ^^
Answer:
27
Step-by-step explanation:
12.18 + 14.62= 26.80
if the number after the point is greater than 5 or equal to 5, we will add 1 to the number before the point, so now the number is 8 we will add 1 to the number before the point
26+1=27
therefore the sum of 12.18+14.62 = 27
Which unit would probably be used to measure how long a cell phone is?
Answers
Answer:
Mostly millimeter
Step-by-step explanation:
Length has several unit like m,cm, mm, feet, miles, inches, km etc
we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.
Question 3 of 10
A student performed the following steps to find the solution to the equation
x2 + 4x - 12 -0. Where did the student go wrong?
Step 1. Factor the polynomial into (x+6) and (x-2)
Step 2. x-6 = 0 and x + 2 = 0
Step 3. X = 6 and x = -2
O A. in Step 2
B. in Step 1
O C. in Step 3
D. The student did not make any mistakes, the solution is correct
Answers
Answer:
A) in Step 2
Step-by-step explanation:
Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.
Find the next two terms of the sequence 10, -11, -32, .
Answers
Answer:
B
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Because.....
-11 - 10 = -21
-32 - (-11) = -21
This tells us that the sequence is adding by -21, which is why the next 2 terms will be -53 and - 74 since....
-32 + -21 = -53
-53 + -21 = - 74
Hence, the answer is A.
What is a simpler form of the expression?
(4k + 5)(3k^2 - 4k - 4)
Answers
Answer:
[tex]12k^3 -k^2-36k-20[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](4k + 5)(3k^2 - 4k - 4)[/tex]
[tex](4k * 3k^2)+(4k*-4k)+(4k*-4)+(5*3k^2)+(5*-4k)+(5*-4)[/tex]
[tex]12k^3-16k^2-16k+15k^2-20k-20[/tex]
Step 2: Combine like terms
[tex]12k^3+(-16k^2+15k^2)+(-16k-20k)-20[/tex]
[tex]12k^3 -k^2-36k-20[/tex]
Answer: [tex]12k^3 -k^2-36k-20[/tex]
What is the area of this figure?
3 cm
6 cm
3 cm
2 cm
2 cm
5 cm
8 cm
13 cm
Answers
PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!
Answers
Answer:
[tex]\boxed{\bf 7 \times 10 {}^{ - 3}} [/tex]
Step-by-step explanation:
[tex] \cfrac{6.3}{9} \times \dfrac {10 ^{ - 5} }{10 {}^{ - 3} }[/tex][tex]0.7 \times \cfrac{10 {}^{ - 5} }{10 {}^{ - 3} } [/tex][tex]0.7 \times 10 { }^{ - 5 - 3 \times - 1} [/tex][tex]0.7 \times 10 {}^{ - 5 + 3} [/tex][tex]0.7 \times 10 { }^{ - 2} [/tex]Write 0.7 *10^-2 into scientific notation:
[tex]7 \times 10 {}^{ - 3} [/tex]Hope this helps! ^^"
Answer:
[tex]7 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{6.3 \times 10^{-5}}{9 \times 10^{-3}} & =\dfrac{6.3}{9} \times \dfrac{10^{-5}}{10^{-3}}\\\\& = 0.7 \times \dfrac{10^{-5}}{10^{-3}}\end{aligned}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\begin{aligned}\implies 0.7 \times \dfrac{10^{-5}}{10^{-3}} &=0.7 \times 10^{-5-(-3)}\\& = 0.7 \times 10^{-2}\end{aligned}[/tex]
[tex]\textsf{Rewrite}\:0.7\:\textsf{as}\: 7 \times 10^{-1}:[/tex]
[tex]\implies 0.7 \times 10^{-2}=7 \times 10^{-1} \times 10^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \times a^c=a^{bc}:[/tex]
[tex]\implies 7 \times 10^{-1} \times 10^{-2}=7 \times 10^{-3}[/tex]
40) through: (-5, 2), slope
1
5
Answers
Answer:
y = 1/5x + 3
Step-by-step explanation:
y = mx + b
m: slope = 1/5
b: y - intercept
(x, y): (-5, 2)
2 = 1/5(-5) + b
2 = -1 + b
add 1 to both sides to get b alone
2 + 1 = -1 + b + 1
3 = b
PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.
Topic question: Should violent video games be banned?
Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)
Argument Organizer
Claim:
In your own words
Reason 1:
In your own words
Support for Reason 1:
Quote from the evidence below
Reason 2:
In your own words
Support for Reason 2:
Quote from the evidence below
Counterclaim:
What is the opposing point of view
Rebuttal Support:
Quote from the evidence below
Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1
Negative Effects of Violent Video Games
In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.
____________________________________
EVIDENCE 2
Negative Effects of Violent Video Games
Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?
Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3
Negative Effects of Violent Video Games
A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.
Study by Anderson, Gentile and Buckley (2007)
Answers
Based on the information above, the main argument of this paper is that violent video games should be banned for teenagers because they have negative effects on their behavior.
What statements stand out from the excerpts?The excerpts focus on two main arguments which are:
Teens who play violent video games are more aggressive.Teens who play violent video games tend to have more fights with their friends and family.According to the above, the claims and arguments would be as follows:
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What is the solution to this equation?
log4(x^2+1)= log4 (-2x)
A.no solution
B.x = 1
C.x = -1
D. X=2
Answers
Answer:
C. x = -1
Step-by-step explanation:
Here :
log 4 (x² + 1) = log 4 (-2x)
Then :
x² + 1 = -2x
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1
For a project in his Geometry class, Fwam uses a mirror on the ground to measure the height of his school building. He walks a distance of 7.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 2.45 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.55 meters. How tall is the school
Answers
Answer:
2106 m
Step-by-step explanation:
Ineed answers for this math review
Answers
Find the perimeters of all the figures. = ADD all four sides of shape.
(Length + Width + Height + Base)
Question is in the picture (I got it wrong)
Answers
Answer:
(B) 38.4 m³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
__
The picture tells you the area of the pool is 24 m² and its height is 1.6 m. The volume formula tells you its volume is ...
V = Bh = (24 m²)(1.6 m) = 38.4 m³
The volume of the prism is 38.4 cubic meters.
in veronica's neighborhood the ratio of cats to dogs is 3 to 4. if there are 28 dogs, how many cats are there
Answers
Answer:
21 cats!
Step-by-step explanation:
the ratio is 3:4
4 being dogs - 28/4 = 7 - 7 * 3 = 21
hope this helps!!! <3
SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER
Answers
Answer:
A. OEO, EOE, EEE, EEO, OOE, OEE
A (probability). [tex]\frac{3}{4}[/tex]
B. OEO, EOE
B (probability). [tex]\frac{1}{4}[/tex]
C. EOE, EEE, OOE, OEE
C (probability). [tex]\frac{1}{2}[/tex]
hope this helps:)
Answer:
A. OEO, EOE, EEE, EEO, ------- (probability). 3/4
B. OEO, EOE ------(probability). 1/4
C- EOE --------------(probability). 1/4 aswell
Step-by-step explanation:
Sorry it took so long
I hope this helps C:
A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 mev (million or mega electron volts) alpha particles. assume that the rate of decay is constant, how long will it take for the sample to degrade to 4.5kg?
Answers
Using an exponential function, it is found that it will take 3,252 years for the sample to degrade to 4.5kg.
What is the exponential function for the amount of a substance?It is given by:
[tex]A(t) = Pe^{-kt}[/tex]
In which:
P is the initial amount. k is the decay rate, as a decimal.The half-life is of 21,400 years, hence, A(21400) = 0.5P, and this is used to find k.
[tex]A(t) = Pe^{-kt}[/tex]
[tex]0.5P = Pe^{-21400k}[/tex]
[tex]e^{-21400k} = 0.5[/tex]
[tex]\ln{e^{-21400k}} = \ln{0.5}[/tex]
[tex]-21400k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{21400}}[/tex]
k = -0.00003239005
Hence, considering the initial mass is of P = 5 kg, the amount after t years is given by:
[tex]A(t) = 5e^{-0.00003239005t}[/tex]
The amount will be of 4.5 kg at t for which A(t) = 4.5, hence:
[tex]4.5 = 5e^{-0.00003239005t}[/tex]
[tex]e^{-0.00003239005t} = 0.9[/tex]
[tex]\ln{e^{-0.00003239005t}} = \ln{0.9}[/tex]
[tex]-0.00003239005t = \ln{0.9}[/tex]
[tex]t = -\frac{\ln{0.9}}{0.00003239005}[/tex]
t = 3252.
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Does anybody know this? I keep getting the wrong answer. ABC~PRT AC=15 BC=12 and PT=6 find the ares of ABC if the area of PRT=24mm^2
Answers
Answer:
The area of triangle ABC is 60 mm^2
Step-by-step explanation:
x = the area of triangle ABC
15/6 * x/24
x=60
Answer:
(d) 150 mm²
Step-by-step explanation:
The scale factor between the triangles is the ratio of the lengths of corresponding sides. The area ratio is the square of the scale factor.
__
scale factorΔABC is larger than ΔPRT by the factor ...
AC/PT = 15/6 = 5/2
areaThe area of ΔABC is the square of this factor times the area of ΔPRT:
area ABC = (5/2)²×area PRT
area ABC = (25/4)×(24 mm²)
area ABC = 150 mm²
Write each expression using a single exponent x^9/x^2
Answers
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]
The expression (x⁹)/(x²) in single exponent is x⁷.
To write the expression (x⁹)/(x²) using a single exponent
we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:
[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]
(x⁹)/(x²)
= x⁹⁻²
= x⁷
Therefore, the expression (x⁹)/(x²) can be simplified to x⁷.
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Solids X and Y are similar. X has volume of 64cm^3, Y has a volume of 729cm^3, the surface area of X is 208cm^2, work out the surface area of Y
Answers
The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²
How to solve for surface area?Volume:
Solid X = 64cm³Solid Y = 729cm³Surface area:
Solid X = 208cm²Solid Y = xRatio of volume to surface area of solid X and Y respectively
64 : 208 = 729 : x
64/208 = 729/x
cross product64 × x = 208 × 729
64x = 151,632
x = 151,632 / 64
x = 2,369.25cm²
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Which function has the smallest x-intercept value, if it exists? f(x) = 3x – 9 f(x) = x2
Answers
The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.
How to determine the x-intercept of a polynomic function
x-intercept is the point of a function that goes through the x-axis. Quadratic functions have at most two x-intercepts and linear functions have always one x-intercept.
In both expressions those intercepts are found by solving expression for x when y is equal to zero. In this question we must determine the smallest x-intercept value from one of the two polynomic functions:
a) f(x) = 3 · x - 9
3 · x - 9 = 0
x = 3
b) f(x) = x²
x² = 0
x = 0
The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.
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Triangle ABC is going to be dilated by a scale factor of 3.
If A is located at (-1,2), where will A' be located?
Answers
In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)
To answer the question, we need to know what dilation is
What is dilation?Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.
For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).
Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).
Since
(x, y) = (-1, 2) and k = 3, The coordinates of A'The new coordinates of A' = (kx, ky)
= (3 × -1, 3 × 2)
= (-3, 6)
So, A' will be located at (-3, 6)
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