Find the area and the circumference of a circle with the radius 3 ft.Use 3.14 for pi
Answers
ANSWER
• Circumference: 18.84 ft
,• Area: 28.26 ft²
EXPLANATION
The circumference of a circle of radius r is,
\(C=2\pi r\)In this case, the radius is r = 3 ft and we have to use 3.14 for π,
\(C=2\cdot3.14\cdot3ft=18.84ft\)Hence, the circumference of this circle is 18.84 feet.
The area of a circle of radius r is,
\(A=\pi r^2\)In this case, r = 3 ft and π = 3.14,
\(A=3.14\cdot3^2ft^2=28.26ft^2\)Hence, the area of this circle is 28.26 square feet.
Related Questions
Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answers
Answer:
Harry made 9 resolutions.
Step-by-step explanation:
Tim made x resolutions.
Harry made five more, x + 5.
Harry and Tim's together was 13.
x + x + 5 = 13
combine like terms.
2x + 5 = 13
subtract 5
2x = 8
divide by 2
x = 4
Tim made 4 resolutions.
Harry made 4 + 5, that is, 9 resolutions.
Check:
Harry and Tim together is 13.
4 + 9 = 13
Harry made 9 resolutions.
Write the slope-intercept form of the equation of the line described. 9.) through: ( 3 , 3 ) , perpendicular to Y= -3/4x
Answers
First, the slopes of two perpendicular lines satisfy
\(\begin{gathered} m_1=\frac{-1}{m_2} \\ \text{ Where } \\ m_1=\text{ slope of line 1} \\ m_2=\text{ slope of line }2 \end{gathered}\)Then, if you take Y=-3/4x as line 1, you have
\(\begin{gathered} m_1=\frac{-3}{4} \\ \text{ Using the formula above} \\ \frac{-3}{4}=\frac{-1}{m_2} \\ \text{Multiply both sides of equation by m2} \\ m_2\cdot\frac{-3}{4}=\frac{-1}{m_2}\cdot m_2 \\ _{}m_2\cdot\frac{-3}{4}=-1 \\ \text{ Multiply both sides of equation by }-\frac{4}{3} \\ m_2\cdot\frac{-3}{4}\cdot\frac{-4}{3}=-1\cdot\frac{-4}{3} \\ m_2\cdot\frac{12}{12}=\frac{4}{3} \\ m_2=\frac{4}{3} \end{gathered}\)Now, using the point slope formula you have
\(\begin{gathered} y-y_2=m_2(x-x_2) \\ y-3=\frac{4}{3}(x-3) \\ y-3=\frac{4}{3}x-\frac{12}{3} \\ y-3=\frac{4}{3}x-4 \\ \text{ Add 3 to both sides of the eqution} \\ y-3+3=\frac{4}{3}x-4+3 \\ y=\frac{4}{3}x-1 \end{gathered}\)Therefore, the slope-intercept form of the equation of the line described is
\(y=\frac{4}{3}x-1\)
Plz help me well mark brainliest! Only if u are right!
Answers
Answer:
\(x=-6\frac{1}{2}\)
Step-by-step explanation:
I hope this help you
Answer:
B. x = -6 1/2
Step-by-step explanation:
13 3/4 + x = 7 1/4
55/4 + x = 29/4
x = -26/4 ~ -6 1/2
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1
10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8
1
2
hours last week, how much money did she donate to the charity?
Answers
$9.86 , Kendra donates to the charity.
Kendra worked 8 hours and 30 minutes last week
She earns $ 11.60 per hour
She will earn money if she works for 30 minutes = $(11.60÷2)
Therefore,
Total amount of money she earns last week = $((11.60×8) + (11.60÷2))
= $(92.8+5.80))
= $98.6
Kendra donates 1/10th of the total money she earns in a week
Therefore,
Amount she donate last week = total amount she earns last week * 1/10
= $(98.6*1/10)
= $9.86
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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and
the probability of obtaining a success. Round your answer to four decimal places
P(X> 3), n = 7.p = 0.6
Answers
The probability of getting a success is 0.9037
How to determine the probability of success?
Since we are dealing with a binomial probability distribution. We are going to use the binomial distribution formula for determining the probability of x successes:
P(x = r) = nCr . p^r . q^n-r
Given: n = 7, p = 0.6, x >3
The failures can be calculated using: q = 1 - p = 1 - 0.6 = 0.4
P(x>3) = 1 - P(x<3)
Thus,
P(x>3) = 1 - (7C0 × 0.6^0 × 0.4^7-0) - (7C1 × 0.6^1 × 0.4^7-1) - (7C2 × 0.6^2 × 0.4^7-2)
= 1 - 0.0016384 - 0.0172032 - 0.0774144
= 0.9037
Therefore, the probability of obtaining a success is 0.9037
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4n² +7n=0 what do I do if there is no part c?
Answers
Answer:
Find the coefficients using ax^2 + bx + c = 0a = 4
b = 7
c = 0
Make the coefficient equal 1. But how do we do that? Division.4n² + 7n = 0
4/4n² + 7n/4 = 0/4
Simplify= n² + 7/4n = 0
a = 1
b = 7/4
c = 0
Complete the square using b/2².b = 7/4
(b/2)² = (7/4 ÷ 2)²
Use fraction rule.
7/4 ÷ 2² = 7/4² / 2²
square the numbers
7/4² / 2² = 49/16 ÷ 4
49/16 ÷ 4 = 49/16 × 1/4
49/16 × 1/4 = 49/64
Add to both sides of the equation using 49/64
b = 7/4
b/2 = 7/4 ÷ 2
simplify
b/2 = 7 ÷ (4 × 2)
simplify(arithmetic)
b/2 = 7/8
n² + 7/4n + 49/64 = 49/64
(n + 7/8)² = 49/64
Solve for the unknown x\((n+\frac{7}{8})^2=\frac{49}{64}\\\sqrt{(n+\frac{7}{8})^2}=\sqrt{\frac{49}{64}}\\\)
Next, cancel out the square on the left side.
\(n+\frac{7}{8}=+/-\sqrt{\frac{49}{64}}\)
Subtract 7/8 from both of the sides.
\(n+\frac{7}{8}-\frac{7}{8}=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}\)
Simplify the left side.
\(n=-\frac{7}{8}+/-\sqrt{\frac{49}{64}}\\n=-\frac{7}{8}+/-\frac{\sqrt{49}}{\sqrt{64}}\\n=-\frac{7}{8}+/-\frac{7}{8}\\n_1=0\\n_2=-\frac{7}{4}\)
That wraps it up for this equation. Hope it helped!
Using the data table, what is the probability that Baxter’s Shelties will NOT have a Tri-Color puppy this year? Justify your decision.
Answers
Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D
Answers
Answer:
c 4
Step-by-step explanation:
Question 1 of 5
The two best runners, Imani and Jack finished first and second. (20 points)
Extra Content
In each of the following sentences, exactly one comma is missing. Determine where the missing comma should be placed, and choose the correct answer.
A after best
B. after Jack
C. after first
Answers
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
what is comma ?In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.
explanation :
If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.
Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
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An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.
Answers
Answer:
The length of the leg is 4.2 units.
Hope you could get an idea from it.
Doubt clarification - use comment section.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
a. x+y=1550
y=4x
b. y-x=1550
y=4x
c. x=y=1550
y=x+4
d. y=1550+x
y=x+4
Answers
Answer: A
Step-by-step explanation:
X+y=1550
Y=4x
The system of equations used are:
x + y = 1550
y = 4x
Option A is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 5 is an equation.
We have,
Number of yards by x = x
Number of yards by y = 4x
Total yards = 1550
Now,
Two equations are:
x + y = 1550
y = 4x
Thus,
The system of equations are:
x + y = 1550
y = 4x
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~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~
Answers
Answer:
15 dollers per hour
Step-by-step explanation:
HOPE THIS HELPS!
BRAINLIST?????
Answer:
The fixed cost is 15 dollars an hour.
Step-by-step explanation:
At zero hours it is 15 dollars so y=5x+15
After each hour the price goes up by 5 dollars so it is 5 dollars an hour.
0 = 4 + n/5 two step equations
Answers
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
0=n
Step-by-step explanation:
1. 0=4+n/5
add 4 and n
2. 0=4n/5
×5. ×5
3. 0=4n
-- --
4 4
4. 0=n
Look at the picture for a more detailed steps
Piece-wise defined function
been having trouble :,)
Answers
Answer:
c.y is the correct answer
Step-by-step explanation:
because its defined in x from the left ×<=1
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?
Answers
Answer: 112 people.
Step-by-step explanation:
Answer:
You would need 112.5 people to eat all the stacks of pancakes.
Step-by-step explanation:
45 times 5 = 225
and then 225 divided by 2 is 112.5
Hope this helps!
Good question lol
What is one over two to the fifth power?
Answers
Answer:0.03125
Step-by-step explanation:
GOO*OOGLE
Step-by-step explanation:
(1/2)^5 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Use 3.14 for \piπpi and enter your answer as a decimal.
Answers
Answer:
The radius of the circle is 24.5 units
Step-by-step explanation:
The formula for the circumference of a circle is \(C=2\pi r\)
Where \(C\) is the circumference and \(r\) is the radius.
Lets solve for \(r\).
Divide both sides of the equation by \(2\pi\).
\(\dfrac{C}{2\pi}=r\)
Now we have an equation to evaluate the radius.
Numerical Evaluation
In this example we are given
\(C=153.86153\\\pi =3.14\)
Substituting our values into our equation for the radius yields
\(r=\dfrac{153.86153}{2*3.14}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=\dfrac{153.86153}{6.28}\)
\(r=24.5\)
Which inequality is graphed below
Answers
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
Answers
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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What is the solution of |x − 1| + 2 = 4? Enter your answers from least to greatest in the boxes.
Answers
Answer:
x=3 or -3
Step-by-step explanation:
hope it helps
QUESTION:-↓
The dimensions of a room are 12.5 m by 9 m by 7 m. there are 2 doors and 4 windows in the room; each door measures 2.5 m by 1.2 m and each window 1.5 m by 1 m. Find the cost of painting the walls at Rs. 3.50 per square meter.
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Answers
Given dimensions of the room:
Length: \(\displaystyle\sf 12.5 \,m\)
Width: \(\displaystyle\sf 9 \,m\)
Height: \(\displaystyle\sf 7 \,m\)
Area of each wall:
\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)
\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)
\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)
Area of each door:
\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)
Area of each window:
\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)
Total area occupied by doors:
\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)
Total area occupied by windows:
\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)
Total wall area excluding doors and windows:
\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)
\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)
\(\displaystyle\sf = 275 - 6 - 6\)
\(\displaystyle\sf = 263 \,m^2\)
Cost of painting the walls:
\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)
\(\displaystyle\sf = 263 \times 3.50\)
\(\displaystyle\sf = 920.50 \,Rs\)
Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Interest on $5,255 at 12 percent for 30 days (use 360 days) is:
Answers
Answer:
$52.55
Step-by-step explanation:
I=(5255×12×30/360)/100
I=(5255×12×1/12)/100
I=5255/100=52.55
NEED YOUR HELP
An e-book regularly costs $30.99. How much does it cost if it's on sale for 68% of the regular cost?
___dollars
Answers
Then that means this is the whole, or 1.
If the final cost is 68% of the original price,
That means it is 0.68 times 30.99.
0.68 x 30.99 = 21.0732
Since prices don’t go smaller than cents,
Final answer: $21.07
Identify an equation in standard form for a hyperbola with center (0, 0), vertex (6, 0), and focus (10, 0).
Answers
Answer:
Step-by-step explanation:
125×64 in expanede form
Answers
Explanation:
Two publishers have offered Melanie Thompson a deal on her new
book Sugar-Free Culinary Classics. The first has offered to pay
her $82,000 up front and a $5.50 royalty for every book it
sells. The second has offered to pay $68,000 up front and a
$6.75 royalty for every book it sells. Over what range of book
sales will Melanie make more from the second publisher than she
will from the first?
Answers
Answer:
Step-by-step explanation:
68000+6.75b>82000+5.5b. subtract 5.5b from both sides
68000+1.25b>82000. subtract 68000 from both sides
1.25b>14000. divide both sides by 1.25
b>11200
So she must sell more than 11500 books to make more with second publisher.
Harriet's Flowers is having a sale on petunias for $0.25 each with the purchase of any $12 item. The Premiere
Garden Shop is selling them for $0.15 each with the purchase of any $15 item. What number of petunias would
cost the same at either shop?
Premiere
Answers
Answer:
30 petunias
Step-by-step explanation:
p=petunias
0.25p +12 = 0.15p + 15
-0.15p -0.15 p Subtract 0.25 with 0.15
0.10p + 12 = 15
-12 -12 Subtract 15 with 12
0.10p = 3 Divide 0.10p with 3
p=30
given f(x)=4x-3, solve for x when f(x)=9
Answers
32 1/2 meters to feet
Answers
Answer:
106.6273
Step-by-step explanation:
Answer:
106.6273 ft
Step-by-step explanation:
What is the constant of proportionality in the equation y=5/4x
Answers
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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