What is the area of this circle? Use 3.14 for π
Question 7 options:
530.66 cm squared
81.64 cm squared
2122.64 cm squared
849.56 cm squared
Answers
Answer:
530.66 cm squared
Step-by-step Explanation:
Diameter of the circle = 26 cm
Radius of the circle (r) = 26/2 = 13 cm
[tex]A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2} [/tex]
Answer:
The area of 530.66 cm squared.
Option (a) 530.66 cm² is the correct answer.
Step-by-step explanation:
Given :
Diameter of circle = 26 cm.To Find :
Radius of circle Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}[/tex]
R = Radius D = Diameter[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the radius of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = 13}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}[/tex]
Hence, the radius of circle is 13 cm.
[tex]\rule{200}2[/tex]
Now, finding the area of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of circle is 530.66 cm².
[tex]\rule{300}{1.5}[/tex]
Related Questions
Nine bands are to perform at a weekend festival. Suppose you want to determine how many different ways there are to schedule their appearances. Would you use a combination or a permutation?
Answers
Answer:
permutation
Step-by-step explanation:
Analyzing the information in the question above, it is correct to say that it is necessary to use permutation, since the ORDER matters, since there is a need to program the band's appearances.
Permutation can be understood as an arrangement in which n = p, where n is the number of elements in the set and p is the number of available elements.
Therefore, the permutation of nine bands is:
Pn = n!
P9 = 9!
p9 = 362880
A painter charges $20 for every hour that he paints. Let h represent the number of hours he paints and e represent his earnings. Select all the statements that are true.
Answers
Answer:
the 3 correct ones are b,c,e
Answer:
See below.
Step-by-step explanation:
He earns $20 per hour, so when you multiply 20 by h number of hours, you get the amount he earns for working h hours.
The equation is
e = 20h
A is false.
B
e = 20h
20h = 500
h = 25
B is true.
C is false. He earns $20 per hour, not 20h dollars per hour.
D
e = 20h
For 10 hours, h = 10.
e = 20 * 10 = 200
He earns $200 for 10 hours.
D is false.
E
If he raises his hourly rate by $2, he will earn $22 per hour. The new equation is
e = 22h
E is true.
What is the ratio of the number of students who sometimes watch sports to the total number of students surveyed?
Answers
Answer:
You need to provide an image or some sort of attachment, since there is no context to this question or any data one could answer off of.
Step-by-step explanation:
^
Can someone help me with this? Linear equation
Answers
Answer:
hope it helps
Step-by-step explanation:
x+2=6
3x=10
6+3x=22
5-3x=15
3+x=6y I'm sure about this one
5+x=y/4=23
One winter day, the temperature in Houston is 8 Celsius. Find the temperatures in these other cities. Explain or show your reasoning.
In Orlando, it is 17 warmer than it is in Houston
In Salt Lake City, it is 18 colder than it is in Houston
In Minneapolis, it is 25 colder than it is in Houston
In Fairbanks, it is 12 colder than it is in Minneapolis
Write an addition equation that represents the relationship between the temperature in Houston and the temperature in Fairbanks.
Answers
Salt Lake city = -10° because 8-18
Minneapolis = -17° because 8-25
Fairbanks = -29° because -17-12
Houston = 8° - 37° = Fairbanks
Hence, the temperatures in these other cities are
Orlando is [tex]25[/tex] degree
Salt Lake is [tex]-10[/tex] degree
Minneapolis is [tex]-17[/tex] degree
Fairbanks is [tex]-29[/tex] degree
What is the degree?
A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is [tex]360[/tex] degrees.
Here given that,
One winter day, the temperature in Houston is [tex]8[/tex] Celsius.
In Orlando, it is [tex]17[/tex] warmer than it is in Houston.
In Salt Lake City, it is [tex]18[/tex] colder than it is in Houston.
In Minneapolis, it is [tex]25[/tex] colder than it is in Houston.
In Fairbanks, it is [tex]12[/tex] colder than it is in Minneapolis.
So, it would be
Orlando = [tex]25[/tex] degree
because [tex]17+8=25[/tex] degree
Salt Lake city [tex]= -10[/tex] degree
because [tex]8-18=-10[/tex] degree
Minneapolis [tex]= -17[/tex] degree
because [tex]8-25=-17[/tex] degree
Fairbanks [tex]= -29[/tex] degree
because [tex]-17-12=-29[/tex] degree
Hence, the temperatures in these other cities are
Orlando is [tex]25[/tex] degree
Salt Lake is [tex]-10[/tex] degree
Minneapolis is [tex]-17[/tex] degree
Fairbanks is [tex]-29[/tex] degree
To know more about the degree
https://brainly.com/question/15652682
#SPJ2
Compare the initial values and the rates of change for Jenna's and Finn's plans. What do they mean in the problem situations?
Answers
Answer:
Step-by-step explanation:
A grocery store manager claims that 75% of shoppers purchase bananas as least once a month. Technology was used to simulate choosing 150 SRSs of size n = 100 from a population of shoppers where 75% buy bananas. The dotplot shows pˆ = the sample proportion of shoppers who bought bananas in the past month. A random sample of 100 shoppers from the store were selected and 64 bought bananas in the past month. Does this sample provide evidence that the grocery store manager overstated the true proportion? Justify your answer.
Answers
Answer:
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
Step-by-step explanation:
Given the data in the question;
To test whether population proportion p is overstated;
Null hypothesis H₀ : p = (75%) = 0.75
Alternative hypothesis H₁ : = < (75%) < 0.75
now, sample proportion p" = 64 / 100 = 0.64
from the dot plot below, we will determine the p-value for test { P(p" < 0.64)}
so, the number of times p"<0.64 in 150 simulations is 5
Hence; P(p" < 0.64 ) = 5 / 150 = 0.0333
P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated
This sample provide evidence that the grocery store manager overstated the true proportion P-value = 0.0333.
Given data in the question:
To test whether population proportion p is overstated; Null hypothesis H₀ : p = (75%) = 0.75 Alternative hypothesis H₁ : = < (75%) < 0.75Now, sample proportion p" = 64 / 100 = 0.64
From the dot plot below,
we will determine the p-value for test { P(p" < 0.64)} The number of times p"<0.64 in 150 simulations is 5Therefore:
P(p" < 0.64 ) = 5 / 150 = 0.0333 P-value = 0.0333
At 5% level of significance;
0.0333 < 0.05
Therefore, we reject null hypothesis H₀ at 5% level of significance,
We conclude that proportion of shoppers who bought bananas at least once in the past month is overstated.
Learn more :
https://brainly.com/question/16437485?referrer=searchResults
Serenity practices the piano 1036 minutes in 4 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context
Answers
Answer:
The proportional equation is [tex]t = 37d[/tex]
Step-by-step explanation:
Serenity practices the piano 1036 minutes in 4 weeks.
Each week has 7 days, so 4 weeks = 4*7 = 28 days.
The amount of minutes she practices per day is given by:
[tex]\frac{1036}{28} = 37[/tex]
So, after d days, the total amount of time she will have practiced is given by:
[tex]t = 37d[/tex]
Pleas e help me 100 points and brainliest
Answers
Answer:
this is your answer. I think it is right.
Answer:
see the answersStep-by-step explanation:
to understand thisyou need to know about:factoringlCDPEMDAStips and formulas:L.C.D=lowest common denominatorlet's solve:[tex]1) \sf\frac{7}{m - 6} \: , \frac{1}{m} \\ [/tex]
denominators are m-6,m
therefore
the lowest common denominator is
(m-6)(m)[tex] \sf\frac{1}{n - 1} \: , \frac{1}{ {n}^{2} - 2n + 1 } [/tex]
denominators n-1,n²-2n+1
step-1
factor n²-2n+1 to find the lowest common denominator
use (a-b)²=a²-2ab+b to factor n²-2n+1therefore
(n)²-2.n.1+(1)²(n-1)²therefore
the L.C.D of the second expression is
(n-1)² alternative form(n-1)(n-1)[tex]3) \tt\frac{k}{ {h }^{2} - 5h + 6} \: , \frac{3}{h -3 } [/tex]
step-1
factor out h²-5h+6 to find L.C.D
rewrite -5h as -2h-3h: h²-2h-3h+6factor out h: h(h-2)-3h+6factor out -3: h(h-2)-3(h-2)group: (h-3)(h-2)therefore
the L.C.D of the third expression is
(h-3)(h-2)Find the SA if this Square Pyramid:
(Don’t forget all 4 sides of the square are the same length which also means all four lateral triangles will be the same area)
Answers
Step-by-step explanation:
Sa = b • h/ 2 = 5 • 11 /2 = 55/2 = 27.5ft²
are any two of the three triangles similar? if so write the appropriate similarity statement.
Answers
Answer:
Angle ABC is similar to PQR.
Postulate is Side side, side similarity
Step-by-step explanation:
In triangle ABC, AC:AB = 4/5 = 0.8
In triangle PQR, PR:PQ = 8/10 = 0.8
Looking at the triangle PQR carefully, we can deduce that QR = PR.
Thus; QR:PQ = 8/10 = 0.8.
Also,BC/AB = 4/5 = 0.8
Also, PR/RQ = 8/8 = 1 and AC/CB = 4/4 = 1
Both triangles have the same proportion of their sides and thus we can say they are similar.
Postulate used is Side, Side, Side similarity.
Six friends are sharing 8 cups of lemonade. If they share the lemonade equally, how many cups will each friend get? simplify your answer to a mixed number
Answers
Answer:
Step-by-step explanation:
Divide the 8 cups between 6 people: 8/6 = 1.333
As a mixed fraction, that is 1(1/3)
As an improper fraction (that you didn't ask for but whatever), it's 4/3
Each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Six friends are sharing 8 cups of lemonade.
The friends share 8 cups lemonade equally.
We need to find the number of cup each friend will get.
To find this we have to divide eight by six.
In this questions we are splitting 8 cups among 6 friends.
Divide 8 by 6
8/6
Now divide numerator and denominator by 2
4/3
Now let us convert this to mixed fraction
[tex]1\frac{1}{3}[/tex]
Hence, each friend gets [tex]1\frac{1}{3}[/tex] cups of lemonade.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ2
g/5 - 9 = -4
Please answer right away
Answers
g/5 - 9 = -4
g-45 / 5 = -4
g -45 = -4×5
g = -20+45
g = 25
Write 2 different word phrases for the expression (52 + 8) divided 30
Answers
Answer:
fifty two plus eight divided by thirty
eight plus fifty two divided by thirty
Step-by-step explanation:
I just switched them around.
Answer:
1) Thirty divided by (fifty-two plus eight)
2) (52+8)
30
Step-by-step explanation:
PLEASE HEALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPP (−18)×4
Answers
Answer:
-18 x 4 = -72
Step-by-step explanation:
a negative times a positive is a negative number.
A hardware store sells 45 boxes of nails for $67.50. Assuming that each box is the same price, what is the price per box?
Answers
Answer:
$1.50
Step-by-step explanation:
You take 67.50/45= 1.50
Hope this helps! <3
Please somebody help
Answers
Answer:
options 1, 2, 3, 4, and 6 are all True
Step-by-step explanation:
Not True:
equation is y = 5/4x + 1/4
there are exactly two solutions
Andy had some basketball cards. After he bought 12 more, he had 48 cards. How many cards did Andy have at the start? Write an algebraic equation and solve.
Answers
Answer:
Step-by-step explanation:
What is the standard form for f(x)=7(x-1)^2+3
Answers
Solve for x: 1/2x + 3 = 9
Answers
Answer:
12
Step-by-step explanation:
1/2x+3=9
Subtract 3 from both sides
1/2x+3-3=9-3
Simplify
1/2x=6
Multiply Both sides by 2
2*1/2x=6*2
X=12
Which angles are Alternative exterior?
Answers
Answer:
Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Illustration: In the diagram above, ∠ a and ∠ d makes a pair of alternate exterior angles and ∠ b and ∠c makes another pair of alternate exterior angles.
Answer:
<PNO & <JKI
Step-by-step explanation:
These angles are on the exterior. To find the alternative angle look on the opposite side of the transversal.
please help!!!!!!!!!!!!!!!
Answers
Answer:
5 and 7.
Step-by-step explanation:
Supplementary angles are angles that have a sum of 180°.
130° + 50° = 180°
120° + 60° = 180°
Simplify. (x 3) 4 • x -3 x -36 x 9 x 4 x -21
Answers
Answer:
-1295x -21
Step-by-step explanation:
srry if it wrong
Answer:
=12x2+−3x+−1296x3+−21
Answer:
=−1296x3+12x2−3x−21
Write three sentences about the information in the pictogram.
Answers
Answer:
248263Please explain the full question herepaanu umunlad ang nasyonalismo sa timog asya?
Answer:
A pictograph is the representation of data using images. Pictographs represent the frequency of data while using symbols or images that are relevant to the data. This is one of the simplest ways to represent statistical data.
A skateboard costs $240. The sales tax on the skateboard is $12. What the percent of the sales tax?
Answers
Answer:
5%
Step-by-step explanation:
12 divided by 240 is 0.05, which is a PERCENTAGE FRACTION (as I like to call it).
This means that you can easily make this into a percentage.
Example Percentage Fractions:
A whole number, like 1 for example, is 100% or more.
The number 1 is 100%, and 2 is 200% and 4.25 is 425%
But since 12 divided by 240, in this problem, is 0.05, it is 5%.
Example are:
0.08 is 8%
0.02 is 2%
0.43 is 43%
0.79 is 79%
It's pretty simple.
Sorry if this isn't very good, I'm not a good teacher XD
Hope this helps :D
Notah lives in Minnesota. He records the lowest temperature each day for one week. What is the mean of the temperatures? -7.3°F, - 11.2°F, 2.2°F, O⁰F, -1.7°F, 3.3°F, 0°F)
Answers
Answer:
-2.1
Step-by-step explanation:
-7.3 - 11.2 - 1.7 + 0 + 0 +2.2 + 3.3
--------------------------------------------------
7
= -2.1
Step-by-step explanation:
Answer:
Given :-
notha records the lowest temperature each day for one week
-7.3°f, -11.2°f, 2.2°f, 0°f, -1.7°f, 3.3°f, 0°f
To Find :-
MeanSolution :-
Mean = -7.3 +(-11.2) + 2.2 + 0 + (-1.7) + 3.3 + 0/7
Mean = -7.3 - 11.2 + 2.2 - 1.7 + 3.3/7
Mean = -20.2 + 5.5/7
Mean = -14.7/7
Mean = -2.1⁰ F
Please help me 10 points reward
Answers
Answer:
Step-by-step explanation:
I re wrote the question so its easier to understand. You should now be able to solve this problem using simple math.
3² + (3×8) ÷ 2 - (2×5)
work it out in steps, using the acronym PEMDAS <3
132 divided by 3 x 3 =
Answers
Answer: 1188
Step-by-step explanation:
The correct answer for value of [tex]\dfrac{132}{3} * 3[/tex] is 132.
To solve the question follow the order of Bodmas.
What is Bodmas?
Bodmas, In mathematics stands for Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
The given term is;
[tex]\dfrac{132}{3} * 3[/tex]
The correct order:
Divide first:
[tex]\dfrac{132}{3}[/tex]
[tex]= 44[/tex]
Multiply with 3:
[tex]44*3 = 132[/tex]
The correct value for [tex]\dfrac{132}{3} * 3[/tex] is 132.
Learn more about Bodmas here:
https://brainly.com/question/29756765
#SPJ6
What is the greatest common factor of 15 and 18?
A. 3
B. 60
C. 5
D. 18
Show your work/show how you got your answer
Answers
Answer:
A
Step-by-step explanation:
You write out all the factors and see which is the greatest one out of both
I need help
Mods please answer this
Find the lcd in each group of expressions .
7/m-6 , 1/m
1/ n-1 , 1/ n²-2n+1
K/ h²5h+6, 3/h-3
Answers
Answer:
i did it .but not sure.thanks.
