Answers
Answer:
Step-by-step explanation:
This is a really famous diagram! The circle has been divided into many wedges (think slices of pizza!). The wedges have been colored alternately blue and yellow, then the wedges were rearranged to form a "rectangle" -- well, it's approximately a rectangle because the wedges have arcs (pieces of a circle) on them. See how the bottom and top edges of the rectangle look bumpy?
The area of the "rectangle" is approximately [tex]\pi r^2[/tex] . The reason is that the height of the rectangle is r , the radius of the circle. And the length of the rectangle is about [tex]\pi r[/tex] -- half the circumference of the circle. It's half because the circumference is in the bumpy parts of the wedges--half blue, half yellow.
The approximation improves as the number of wedges increases. In fact, as the number of slices (sorry, pizza again) gets larger, the length of the rectangle gets closer and closer to half the circumference. In other words, making more wedges makes the rectangle less bumpy!
Related Questions
What is the volume of the composite figure? ASAP PLEASE!!!!
Answers
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles
Answers
Does john short qualify for overtime? Explain
Answers
Answer:
?
Step-by-step explanation:
CONVERT THE PERCENTAGES FRACTION 130%
Answers
Answer:
13/10
Step-by-step explanation:
Its 13/10...
please give brainliest
Answer:
13/10
Step-by-step explanation:
There are 52 playing cards in a standard deck. Each card is assigned to one of four suits: diamonds, hearts, spades, or clubs. Within each suit, there are 13 ranks: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.
pls help
Answers
Answer:
Plzzzz answer fast......
The incomes in a certain large population of college teachers have a normal distribution with a mean $75,000 and standard deviation $10,000. 16 teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $77,500?
Answers
Answer:
The probability that their average salary;
standard error
= 10,000/sqrt(16)
=10,000/4
= 2500
(77,500 - 75000)/2500
2,500/2500
= 1
p (z > 1) = .1587
So, the probability that their average salary is more than $77,500 is 0.1587
Step-by-step explanation:
Pamela and her friends decided to have a water balloon fight! They got 20 water balloons and
used 6 liters of water to fill them all equally.
how much water was in each balloon?
Write your answer as a proper fraction or mixed number.
liters
Answers
Ans 3/10
Answer:
3/10
Step-by-step explanation:
1 Can of paint is enough to cover
4/5 of a wall. We only have 2/3 of
a can of paint. How much of a wall
can we paint with 2/3 of a can of
paint?
Pleasa give me the answer with showing work.
Answers
Answer:
Hi! The answer is [tex]1/3[/tex] of a wall.
Step-by-step explanation:
[tex]1 - 2/3[/tex]
[tex]= 1/3[/tex]
☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Weekly wages at a certain factory
are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
Answers
A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 60°. What is the distance between the piling and the pier to the nearest foot?
Answers
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :
[tex]\tan(60)=\dfrac{x}{130}\\\\x=\tan(60)\times 130\\\\x=225.16\ feet[/tex]
So, the required distance is 225.16 feet.
If 28 less than five times a certain number is 232 what is the number?
Answers
Answer:
Stepby-step explanation:
The certain number = n
232 = 5n-28
232+ 28 = 5n -28 + 28
260 = 5n
260/5 = 5n/5
52 = n
Celia made 3 1/2 cups of rice. a serving is 2/3 cup
How many servings of rice did Celia make
Answers
Answer:
5 1/4 .
Step-by-step explanation:
Given:
Celia made 3 1/2 cups of rice.
A serving of rice is 2/3 cup.
Now, to find the number of servings Celia make.
Celia made
So, to get the number of servings we use unitary method:
If 2/3 cup of rice is of 1 serving.
So, 1 cup of rice is of = =
Then 7/2 cup of rice is of
Thus, 7/2 cup of rice is of servings.
Therefore, Celia make servings.
Step-by-step explanation:
Tell whether b=6 is a solution of 8b=48
Answers
Answer:
b= 6 for sure
Step-by-step explanation:
I need some help. I will try to give brainliest
Answers
Answer:
Step-by-step explanation:
Chloe wants to ride her bicycle 52 miles this week. She has already ridden 16 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answers
Because 52 - 16 = 36
36 divided by 5 equals 7.2
5g ∙ 7h in standard form
Answers
9514 1404 393
Answer:
35gh
Step-by-step explanation:
The standard form has one coefficient, and generally has the variables in lexicographical order.
35gh
A track star jumped 6 feet. The record is 84 inches. How much further does he need to jump to beat the record?
thank you!!
Answers
Answer:
12 inches or 1 ft.
Step-by-step explanation:
Firstly, convert the 6 feet to inches.
(There are 12 inches in 1 foot)
So, 6 feet is 72 inches (6 * 12)
Now, you can subtract this total from the record, to find how much farther he needs to jump:
84 - 72 = How much further
84 - 72 = 12
Therefore, he needs to jump 12 inches further.
To place in feet form, then convert 12 inches to feet.
(There are 12 inches in a foot)
So, 12 inches is 1 foot
Answer:
1 foot or 12 inches.
Step-by-step explanation:
Since there are 12 incher in every foot, we divide 84 by 12, giving us a total of 7ft. He has to jump 1 foot, or 12 inches more, to beat the record.
PLEASE HELP ME!! A: Given that the triangles are similar, find the length of side KL
Answers
Explanation: Use proportions
JK/KL = MN/NO
3/KL = 2/5
Let KL = x
Cross Multiply: 2x=15
Simplify: x = 7.5
Find shaded area. Please help!
Answers
Answer:
Area of shaded region = 70.88 unit
Step-by-step explanation:
Given:
Height of shaded region = 12 units
Width of shaded region = 8 units
Find:
Area of shaded region
Computation:
Radius of semi circle = Width of shaded region / 2
Radius of semi circle = 8 / 2
Radius of semi circle = 4 unit
Area of shaded region = Area of rectangle - Area of Semi circle
Area of shaded region = [l x b] - [πr² / 2]
Area of shaded region = [12 x 8] - [(3.14)(4)² / 2]
Area of shaded region = 96 - [(3.14)(16) / 2]
Area of shaded region = 96 - 25.12
Area of shaded region = 70.88 unit
Number of spots
32
30
28
26
24
22
20
18
16
14
12
10
...
.
2 3 4 5 6 7 8 9 10 11 12 13
Weight (g)
A. negative
Ο Ο Ο
B. parabolic
C. strong
Answers
Answer:32 30 28 16
Step-by-step explanation:
What is the solution to this equation?
In(2x + 4) = ln(x + 3)
Answers
The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
What is log ?A logarithm is the power to which a number must be raised in order to get some other number .
We have,
[tex]ln(2x + 4) = ln(x + 3)[/tex]
Now, apply log rules
As we have [tex](ln)[/tex] on both which will be cancel out,
⇒
[tex]2x+4=x+3[/tex]
[tex]3x=3-4[/tex]
[tex]x=(-1)[/tex]
So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .
Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
To know more about log click here
https://brainly.com/question/82295
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Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH C
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
C) using your equation from b will rosalina have enough money for her new tv in four weeks?
also) how would the equation change if rosalina stopped working wasn't able to deposit $40 and had to instead withdraw $40 a week? Which part of your equation would change?
please help!
THANK YOU!!
Answers
Answer:
Let M represent the amout at any time.
She saves $40 per week so total amount becomes 40x in any specified week.
where x is the number of weeks.
In the start she has $500 in her bank account so we 'll add this amount into the savings per week. So expression becomes
M = 40x+500
Simply put number of week in place of x and find the total amount.
Step-by-step explanation:
Answer:
for c it is no
Step-by-step explanation:
it is no because she deposits 40 a week, in 4 weeks she deposits 40x4=160, which is nowhere close to the 700 she needs. Even if you count the 500 in her account it is still no since it would total up to 660, not 700
integrate by parts xInx
Answers
Answer:
[tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
Integrals[Indefinite Integrals] Integration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration by Parts: [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]
[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, TrigStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int {x \ln x} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for integration by parts using LIPET.
Set u: [tex]\displaystyle u = \ln x[/tex][u] Logarithmic Differentiation: [tex]\displaystyle du = \frac{1}{x} \ dx[/tex]Set dv: [tex]\displaystyle dv = x \ dx[/tex][dv] Integration Rule [Reverse Power Rule]: [tex]\displaystyle v = \frac{x^2}{2}[/tex]Step 3: Integrate Pt. 2
[Integral] Integration by Parts: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \int {\frac{x}{2}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \frac{1}{2} \int {x} \, dx[/tex]Factor: [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \int {x} \, dx \bigg)[/tex][Integral] Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \frac{x^2}{2} \bigg) + C[/tex]Factor: [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
HELP ASAPPPPP! I WILL GIVE BRAINLEST
Answers
The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
round off all answer in to two decimal places A=p(1+in) Steven won a portion of the local lottery.the price money is to the value of R18000.he wants to invest the money but does not know which bank to choose. FNB offers Steven 5,6/% for 8 years simple interest per annum, Nedbank offers Steven 6,6% for 6 years simple interest per annum and standard bank offers 7,2% for 5 years simple interest determine each bank future value to help Steven decide which bank he should choose FNB NEDBANK STANDARD BANK
Answers
Answer:
FNB bank
Step-by-step explanation:
FNB = 18000 * 0.056* 8 = 8064
Nedbank = 18000*0.066* 6 = 7128
Standard = 18000*0.072*5=6480
FNB is the best choice for Steven
The length of the rectangle is 9 cm.
The perimeter of the rectangle is 31 cm.
(b) Work out the width of the rectangle.
Answers
Answer:
Perimeter = 2(L+W)
31 =2(9+w)
31 =18+2W
31-18=2W
13=2W
W=13/2
W=6.5cm
HELP PLSSSS
8^2 b - 3 when b = 3
Answers
Answer:
0
Step-by-step explanation:
If b is 3 then the quiz can be rewritten as
8²3-3
8²0
64×0=0
Well it's just a trial
HELP WITH MATHHH!!!!!!!!!!
Answers
1/5x= 7/5 /*5
x=7
One Step Equations
-104=8x
Please show your work, thank you.
Answers
Answer:
= − 1 3
Step-by-step explanation:
8x/8 = -104/8
Brainliest?
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answers
Answer:
D. 6Step-by-step explanation:
M is midpoint of LP and N is midpoint of MP
Use midpoint formula:
x = (x₁ + x₂)/2Find x-coordinate of M:
x = (-3 + 9)/2 = 3Find x-coordinate of N:
x = (3 + 9)/2 = 6Correct choice is D