A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.
Area of Circle:The area of a circle is pi times the radius squared. The unit of area of circle is square units.
[tex]\longrightarrow Area_{(circle)} = \pi r^2[/tex]
Here, r is the radius of the circle.
Elucidation:We are asked to find the area of the circle in terms of pi if the diameter is 7 inches.
We know that, the diameter is twice the length of the radius of a circle. Therefore;
D = 2rr = D/2 = 7/2 = 3.5Now the area of circle will be:
[tex]\implies Area_{(circle)} = \pi r^2[/tex]
[tex]\implies Area_{(circle)} = \pi (3.5)^2[/tex]
[tex]\implies Area_{(circle)} = 12.25 \pi[/tex]
Hence, the area of the given circle is 12.25π square inches.
Answer:
Area of circle = 12.25π square inchesStep-by-step explanation:
In the question we are given that diameter of circle is of 7 inches . And we have asked to find the area of the circle in term of pi ( π ) .
For finding area of circle we must have to know that what is the formula for finding area of circle. So :
[tex] \qquad \qquad \: \red{\underline{\red{ \boxed{ \frak{Area \: of \: Circle = \pi r {}^{2} }}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleSolution : -
As in the question we are given length of diameter . So for finding area we need to find the radius of circle .
We know that diameter of circle is two times its radius or ,
[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]
So for radius we are dividing both side with 2 :
[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]
We get that ,
[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]
Therefore , we can say that radius of circle is half of its diameter .
Now using this firstly we are finding radius of circle . So :
[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{7}{2} \: \: inches}}[/tex]
Therefore , radius of circle is 7/2 inches .Now , we are moving towards our final solution .
So ,
[tex] \longrightarrow \quad \: Area_ { (Circle)} = \pi( \dfrac{7}{2} ) {}^{2} [/tex]
Calculating further :
[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{7}{2} \times \dfrac{7}{2} [/tex]
After multiplication of 7/2 with 7/2 we get :
[tex]\longrightarrow \quad \: Area_ { (Circle)} = \pi \times \dfrac{49}{4} [/tex]
On dividing 49 by 4 we get :
[tex]\longrightarrow \quad \: \blue{{\boxed{\frak{Area_ { (Circle)} = 12.25\pi \: inches {}^{2} }}}}[/tex]
Remember one thing , we haven't put value of π as 22/7 or 3.14 because in the question it is given that we have to find the area of circle in terms of pi .
Henceforth , in terms of pi ( π ) area of circle having diameter 7 inches is 12.25π inches² .#Keep LearningDescribe fully the single transformation that takes shape P to shape Q
I cant get the last mark
Answer:
dilation by a factor of 3 about (1, 0)
Step-by-step explanation:
You have correctly surmised that Q is a dilation of P by a factor of 3. The center of dilation is not the origin, so the trick is to figure out where it is.
__
An original point and its dilated image are always on the same line through the center of dilation. Here, that center can be found by drawing lines through the corresponding vertices. The attachment shows the center of dilation is (1, 0) on the x-axis.
The single transformation is ...
dilation by a factor of 3 about the point (1, 0).
__
Additional comment
You can check this by seeing that each image point is 3 times as far from this center as the corresponding original point.
what are the first 800 numbers of PI
Answer:
3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4 4 0 6 5 6 6 4 3 0 8 6 0 2 1 3 9 4 9 4 6 3 9 5 2 2 4 7 3 7 1 9 0 7 0 2 1 7 9 8 6 0 9 4 3 7 0 2 7 7 0 5 3 9 2 1 7 1 7 6 2 9 3 1 7 6 7 5 2 3 8 4 6 7 4 8 1 8 4 6 7 6 6 9 4 0 5 1 3 2 0 0 0 5 6 8 1 2 7 1 4 5 2 6 3 5 6 0 8 2 7 7 8 5 7 7 1 3 4 2 7 5 7 7 8 9 6 0 9 1 7 3 6 3 7 1 7 8 7 2 1 4 6 8 4 4 0 9 0 1 2 2 4 9 5 3 4 3 0 1 4 6 5 4 9 5 8 5 3 7 1 0 5 0 7 9 2 2 7 9 6 8 9 2 5 8 9 2 3 5 4 2 0 1 9 9 5 6 1 1 2 1 2 9 0 2 1 9 6 0 8 6 4 0 3 4 4 1 8 1 5 9 8 1 3 6 2 9 7 7 4 7 7 1 3 0 9 9 6 0 5 1 8 7 0 7 2 1 1 3 4 9 9 9 9 9 9 8 3 7 2 9 7 8 0 4 9 9 5 1 0 5 9 7 3 1 7 3 2 8 1 6 0 9 6 3 1 8 5 9
Your welcome
How to find the surface area of a pyramid with a square base.
hope it really helps.....!!!!
Which of the following is true regarding the solution to the logarithmic equation below? log subscript 2 baseline (x 11) = 4. x 11 = 2 superscript 4. x 11 = 16. x = 5.
The value of x is 5. Thus, the correct statement is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
Data obtained from the question Log₂ (x + 11) = 4Value of x =? How to determine the value of xLog₂ (x + 11) = 4
x + 11 = 2⁴
x + 11 = 16
Collect like terms
x = 16 – 11
x = 5
**Check**Log₂ (x + 11) = 4
x = 5
Log₂ (5 + 11) = 4
Log₂ 16 = 4
Find the value of Log₂ 16
Log₂ 16 = n
16 = 2ⁿ
2⁴ = 2ⁿ
n = 4
Thus,
Log₂ 16 = 4
Therefore, the correct answer to the question is:
x = 5 is a true solution because log subscript 2 Baseline (16) = 4
Complete question
Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2
Learn more about Logarithm equation:
https://brainly.com/question/7302008
Answer:
C, x = 5 is a true solution because log Subscript 2 Baseline (16) = 4
Step-by-step explanation:
edge
there are ten names in a hat. how many ways are there to draw three names for first, second and third prizes from the hat, assuming each person can win only one prize
Answer:
720 ways
Step-by-step explanation:
10 P 3
or 10 * 9 * 8 = 720 ways
Is 28110 divisible by 10?
Answer:
yes
Step-by-step explanation:
Distinct Factors of 28110 = 1, 2, 3, 5, 6, 10, 15, 30, 937, 1874, 2811, 4685, 5622, 9370, 14055, 28110
Yes it is and the answer would be 2811
Adam makes $632 gross income per week and has claimed four allowances. according to the table below, what is adam’s net income after tax withholding? for weekly income between 630 and 640 dollars and claiming 4 allowances, the weekly withholding is 99 dollars. a. $99 b. $533 c. $731 d. $502
Adam's net income after a tax withholding will be 533 dollars. Then the correct option is B.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Adam makes $632 gross income per week and has claimed four allowances.
The weekly withholding is 99 dollars.
Adam's net income after a tax withholding will be
⇒ $632 - $99
⇒ $533
More about the subtraction link is given below.
https://brainly.com/question/4319655
At a restaurant, 42 people had breakfast on Saturday morning.
1/7• of the people ate eggs only.
2/3 • of the people ate both pancakes and eggs.
• The remaining people ate pancakes only.
Which fraction represents the number of people who ate pancakes only?
Answer:
17/21
Step-by-step explanation:
The amount of people that ate eggs only are:
42* 1/7 = 6
The amount of people that ate both pancakes and eggs are:
42 * 2/3 = 28
That means 34 people ate pancakes only.
The fraction that represents this is 34/42 = 17/21
A scientist is studying the effectiveness of 2 different antibiotics on the same strain of bacteria. He uses the same dose of each antibiotic and starts with the same initial bacteria count, in billions, in each petri dish. His results are shown in the tables below. Let x represent the time in hours.
Part A: What is the initial number of bacteria in each petri dish? Explain your answer.
Part B: What is the decay rate for each antibiotic? Explain your answer.
Part C: How many bacteria will be left in each petri dish after the time has reached 8 hours? Round to the nearest thousandth. Show your work.
Answer:
0.37 billion
Step-by-step explanation:
.
Can you pls help me
What is the equation to find the Surface Area for a Cone?
Answer:
A=πr(r+h2+r2)
Step-by-step explanation:
literally just search it up
If x is an even integer greater than 3, then, in terms of
what is the next greatest even integer?
A. X^2
B. 2x
C. X+3
D. X+2
Answer:
x^2
Step-by-step explanation:
Any even number raised to two is even.
Eg: 4^2 = 16
12^2 = 144
Etc...
And
Any odd number raised to two is odd.
Eg: 5^2 = 25
13^2 = 169
Etc...
And also x^2 is greater than 2x & x+3 & x+2
PLA
HELP I NEES TO LEAVE SOON<3
If x= 4.5 and y = 2x + 1, then y equals what number
I will rate and mark as brainest
Answer:
10
Step-by-step explanation:
1. 2(4.5)+1
2. 9+1
3. 10
A sheet of plywood costs $10. 75. Production is down which causes the price to rise 25%. What is the new price?
Answer:
The answer should be somewhere around 13.4375
Step-by-step explanation:
Since the price is 10.75 and it wants you to add 25% or a quarter to it. You can divide 10.75 by 4, which is 2.6875 and add it. You will get 13.4375.
Please help me thank you!!!!!!!!!!!!!!!!!
Probably the answer:
Probably A. but I didn't read it and I just wanted to say this...
Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?
A. All the boys in the cafeteria
B. All the students on his soccer team
C. Every 5th person entering the school
D. Every 5th person entering Daniella's Pizzeria
C, every 5th student entering the school.
This would provide the least biased answer by the chances, it would not be skewed as my boy Gabe is asking random people that are spread out rather than simply everyone on his soccer team (if there is a connection between enjoying pizza and playing soccer) or asking everyone in the cafeteria, as similar people may sit together. It’s all in the chances.
Question:
Gabriel wants to know which pizzeria is most popular with students at his school. Which group of students should Gabriel survey in order to get the most accurate results?
Answer:
C. Every 5th person entering the school.
Step-by-step explanation:
A. All the boys in the cafeteria. This is incorrect because they would only add up to 1. The boys. And 2. Only the boys inside of the cafeteria. So that not even counting the ones that are still in the classrooms or in the bathrooms. so therefore A is incorrect.
B. All the students on his soccer team. This would not add up to much because lets say there are 10 players on his soccer team and over 100 people in his school, that would only make up 10% of his whole school, so obviously, B. Is also incorrect.
D. Every 5th person entering Daniella's Pizzeria. This is incorrect also because Gabriel wants to know which pizzeria is most popular in his school, this answer does not say anything about his school, it only says which pizzeria and how many people. In answer D. It says Every 5th person entering Daniella's Pizzeria. This answer already says which pizzeria he would be going to so that part is already proof that D is incorrect.
C. Every 5th person entering the school. This is correct beause it explains how he would be asking every 5th person entering the school. So lets say most of the people he tallied likes Daniella's Pizzeria the most. There would be a tally poll that I have shown in the picture. (Sorry that its messy I did that on mouse.) and as you see in green it says that more people like Daniella's Pizzeria more than any others. So now Gabriel has his results, so now he knows which pizzeria to go to.
Link for whiteboard from picture: witeboard.com
BRAINLIEST AND 50 POINTS FOR WHOEVER ANSWERS FIRST
Answer:
7
Step-by-step explanation:
There are seven t's that equal 49. So do 49 divided by 7. Therefore, t = 7.
Hi!
In the picture, we can see that 7 of the t's are equal to 49. We can set this up using an equation:
[tex]7t=49[/tex]
Now, in order to solve for t, we must divide both sides by 7 to isolate the variable on one side of the equal sign:
[tex]\cfrac{7t}{7} =\cfrac{49}{7}[/tex]
Simplify:
[tex]t=7[/tex]
Therefore, t = 7 makes the equation true.
We can also check our work. On the scale, 7 t's are equal to 49, remember? So if there are 7 t's, and each t is equal to 7, we do 7 * 7 which is equal to 49.
49=49 ✔️
PLS HURRY! WILL MARK BRAINLIEST
A banner is made of a square amd a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for π.
Answer:
A=941.33 square inches.
Step-by-step explanation:
The total area of the banner is the sum of the areas of the square and the semicircle (half cricle) The side length of the square is 26 inches and the radius of the semicircle is 13 inches (half of the dimeter) so: A=Asquare+Asemicircle A=(s2)+(12)πr2 A=262+12(3.14)(13)2 A=676+265.33
Which statement is true?
A. the greatest common factor of 10 and 14 is 5.
B. the greatest common factor of 10 and 15 is 5.
C. the greatest common factor of 13 and 21 is 3.
D. the greatest common factor of 14 and 21 is 3.
Answer:
B. the greatest common factor of 10 and 15 is 5.
Step-by-step explanation:
A. is worg 14 cannot be divided by 5
C. is wrong 13 cannot be divided by 3
D. is wroing 14 cannot be divided by 3
I mean they all can but you won't get the whole numbers only fractions.
Option B
Step-by-step explanation:Let's check each option one by one.
A) The greatest common factor of 10 and 14 is 5.
Write down the factors of 10 and 14.
⇒ Factors of 10: 1, 2, 5, 10
⇒ Factors of 14: 1, 2, 7, 14
We can see here that the GCF is "1" as it is the greatest factor of 10 and 14.
Hence, option A is incorrect.
B) The greatest common factor of 10 and 15 is 5.
Write down the factors of 10 and 15.
⇒ Factors of 10: 1, 2, 5, 10
⇒ Factors of 15: 1, 3, 5, 15
We can see here that the GCF is "5" as it is the greatest factor of 10 and 15.
Hence, option B is correct.
C) The greatest common factor of 13 and 21 is 3.
Write down the factors of 13 and 21.
⇒ Factors of 13: 1 and 13
⇒ Factors of 21: 1, 3, 7, 21
We can see here that the GCF is "1" as it is the greatest factor of 13 and 21.
Hence, option C is incorrect.
D) The greatest common factor of 14 and 21 is 3.
Write down the factors of 14 and 21.
⇒ Factors of 14: 1, 2, 7, 14
⇒ Factors of 21: 1, 3, 7, 21
We can see here that the GCF is "7" as it is the greatest factor of 14 and 21.
Hence, option D is incorrect.
Thus, Option B is correct.
7. Andre woke up at 7:18 a.m. and
went to bed at 10:00 p.m. How
long was Andre awake?
Answer:
14 hours and 42 minutes
Step-by-step explanation:
12 hours later is 7:18pm2 hours later is 9:18pm60-18=42 minutes12 hours + 2 hours plus 42 minutes = 14 hours and 42 minutessolve for x - 10 = x-7 / 3
Answer: 23/2 or 11.5
Step-by-step explanation:
x - 10 = (x - 7) / 3
3 (x - 10) = x - 7
3x - 30 = x - 7
3x - x = 30 - 7
2x = 23
x = 23/2 answer...
change it into decimal form
x = 11.5 answer...
note: 23/2 or 11.5 both could be the answers
hope that helps...
Answer:
x = 23/2 or 11.5
Step-by-step explanation:
Step 1: Multiply both sides by 3.
[tex]3(x-10)= \frac{x-7}{3} *3[/tex][tex]3x - 30 = x - 7[/tex]Step 2: Subtract x from both sides.
[tex]3x-30-x=x-7-x[/tex] [tex]2x-30=-7[/tex]Step 3: Add 30 to both sides.
[tex]2x-30+30=-7+30[/tex] [tex]2x=23[/tex]Step 4: Divide both sides by 2.
[tex]2x/2 = 23/2[/tex] [tex]x = 23/2 = 11.5[/tex]Therefore, x = 23/2 or 11.5.
A hospital needs 80 liters of a 12% solution of disinfectant. This solution is to be prepared from a 33% solution and a 5% solution. How many liters of each should be mixed to obtain this 12% solution? There are different ways to solve this problem, but using a system of equations is the simplest way
Answer: 20 L of 33% solution and 60 L of 5% solution should be mixed
Step-by-step explanation:
0.33x + 0.05(80-x) = 0.12*80
0.33x + 4-0.05x = 9.6
0.33x - 0.05x = 9.6-4
0.28x = 5.6
x = 5.6/0.28
x = 20 L of 33% solution should be used
80-20 = 60 L of 5% solution should be used
Proof:
0.33*20 + 0.05*60 = 0.12*80
6.6 + 3 = 9.6
9.6 = 9.6
Netflix is considering a new romcom (romantic comedy) series. Before making a final decision, the producers design an experiment to estimate the proportion of viewers who would watch the series. A random sample of 1,040 viewers was selected and asked to watch the first two episodes. After viewing the episodes, 650 viewers indicated they would watch the new series. (Use t Distribution Table & z Distribution Table. ) (Round your answers to 3 decimal places. )
Required:
a. Estimate the value of the population proportion of people who would watch the new series.
b. Develop a 99% confidence interval for the population proportion of people who would watch the new series.
Using the z-distribution, as we are working with a proportion, it is found that:
a) The population proportion is of 0.625.
b) The interval is (0.586, 0.664).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and the population proportion are given, respectively, by:
[tex]n = 1040, \pi = \frac{650}{1040} = 0.625[/tex]
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 - 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.586[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.625 + 2.575\sqrt{\frac{0.625(0.375)}{1040}} = 0.664[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
Select all expressions that represent the total area of the large rectangle.
Answer:
a. 5(x + y)
c. 5x + 5y
Step-by-step explanation:
The area = length * width.
Answer number 8 please thank you
please help me with the question
Answer:
A
Step-by-step explanation:
If you plug in the x and y into both of those equations, you can see that only A would make the equation true.
Hope This Helps! :) Please mark as brainliest if you can!
Answer:
The answer should be;
A: (0,2)
Step-by-step explanation:
When graphing out the formulas and shading them accordingly, you can see which of those points fall into the double shaded areas. (4,5) falls into an area that isn't shaded at all, which (2,-1) falls into an area where it is only shaded by one layer. I have graphed this out for you so hopefully you understand :)
The smaller of two regular hexagons has a perimeter of 15 m and an area of 36 m². The area of the
larger is 100 m². What is the perimeter of the larger hexagon?
Answer:
40
Step-by-step explanation:
To find the perimeter of the hexagon, we multiply the square root of the area by 4.
The square root of 100 is 10.
10x4=40
Can someone please help me with this ty!!
Sammy has a bag with 3 white marbles, 4 yellow
marbles, and 5 green marbles. What is the
probability of drawing a white marble followed
by a yellow marble, without replacing the white
marble?
HELP LOVE
The probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
How to determine the probability?The distribution of the marbles is given as:
White = 3
Yellow = 4
Green = 5
Total = 12
The probability of selecting a white marble is:
P(White) = 3/12
Now, there are 11 marbles left.
The probability of selecting a yellow marble is:
P(Yellow) = 4/11
The required probability is:
P = 3/12 * 4/11
Evaluate
P = 0.091
Hence, the probability of drawing a white marble followed by a yellow marble, without replacing the white marble is 0.091
Read more about probability at:
https://brainly.com/question/251701
#SPJ1
hhhhhheeeelllppppppppp
Answer:
x=47.2153
Step-by-step explanation:
basically its just what I've wrote , simple trigo