Answers
Answer:
1. 1.55π,
2. 16π,
3. 2.45π,
4. ( About ) 5.56π,
5. 13.7π
6. ( About ) 1.78π
Step-by-step explanation:
1. Let us keep the answer in terms of π, for the simplicity;
Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
62 / 360 = Area of sector / 9π,
62 * ( 9π ) = 360 * Area of sector,
558π = 360 * Area of sector,
Area of sector; 1.55π
2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,
Area of sector ⇒ 1 / 4 * 64π = 16π,
Area of sector; 16π
3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
98 / 360 = Area of sector / 9π,
98 * ( 9π ) = 360 * Area of sector,
882π = 360 * Area of sector,
Area of sector; 2.45π
4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
125 / 360 = Area of sector / 16π,
125 * ( 16π ) = 360 * Area of sector,
2000π = 360 * Area of sector,
Area of sector; ( About ) 5.56π
5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
137 / 360 = Area of sector / 36π,
137 * ( 36π ) = 360 * Area of sector,
4932π = 360 * Area of sector,
Area of sector; 13.7π
6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
160 / 360 = Area of sector / 4π,
160 * ( 4π ) = 360 * Area of sector,
640π = 360 * Area of sector,
Area of sector; ( About ) 1.78π
Related Questions
what's 4.54 rounded to the nearest tenth?
Answers
Answer:
4.5
Step-by-step explanation:
have a nice day :)
Answer:
4.5
Step-by-step explanation:
when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.
Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)
Answers
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
Oh yeah...
Step-by-step explanation:
Arthur is bullying my house.......
(Brainliest?)
Jack earns $40 in interest each year on an investment. What is his interest rate if his principal was $200
Answers
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?
Answers
Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
Learn more about Rectangle, Area and Quadratic equation here
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The table lists the government ministers of the legendary kingdom of Neverland.
Nqverland.
Sum
Can the government offices be represented as a function of the ministers' names?
please help me i Just need 2 more to finish please
Answers
Answer:
No
Step-by-step explanation:
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
No, the government offices can not be represented as a function of the ministers' names.
What is a function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, names of offices and their presidents,
Since,
You cannot compare the ministers’ name because it has no correlation to their government office, so it cannot be represented as a function.
Hence, the government offices can not be represented as a function of the ministers' names.
Learn more about functions, click;
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When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answers
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
25 x 10 to the power of 6 in standard form
Answers
Answer:
24414062 14
sj rjsjstushnaayaeyn
A camp counselor is trying to determine of the places they have previously camped where his campers favorite camping spots are what is the population of the survey
Answers
Answer:
Uhhh the previous campers?
Step-by-step explanation:
No idea if this is some sort of trick question but I'm just going to go ahead and say the campers.
Answer:
a
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIESTT
Answers
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?
Answers
Answer:
A≈8173.18
Step-by-step explanation:
Betsy made a cake for Josie's birthday party. After the party, y of the cake was left.
Later that afternoon, Betsy ate another 2 of the cake. Then, that evening, Josie ate
another 112 of the cake. How much of the cake was eaten in all? Show
your
work.
Answers
Answer:
!!4
Step-by-step explanation:
according to my calculation it is 114
yo was the answerrrrrr n how u do it???????
Answers
Answer:
A pizza with 8 slices has price: 12$, then each slice cost:
12/8 = 1.5$
Hope this helps!
:)
Answer:
$1.50
Step-by-step explanation:
Total cost of pizza: $12
The pizza has 8 slices, so 12 divided by 8 will give the cost of one slice.
12/8 = 1.50
one slice of pizza costs $1.50
!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRAINLIEST♡
three fifths multiplied by two tenths
Answers
Answer:
0.12 in decimal form and fraction form is 3/25
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
three fifths times two tenths = six over fifty simplified version = three over twenty-five
On the blueprint of a house, 27 millimeters represents 6 meters. The actual length of the living room is 9 meters.
Answers
Answer:
40.5 mm
Step-by-step explanation:
Use a proportion to find the blueprint's length of the living room.
27 mm is to 6 m as x is to 9 m
27/6 = x/9
6x = 27 * 9
6x = 243
x = 40.5
Answer: 40.5 mm
triangle xyz is similar to triangle abc solve for k
Answers
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
7. What is the value of the expression 3(2 - 7)
Answers
Answer:
-15
Step-by-step explanation:
3(2 - 7)
PEMDAS says parentheses first
Subtract
3 (-5)
Multiply
-15
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answers
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
Factor completely 3x(x + 2) + 4(x + 2).
Answers
x
+
2
from the expression
(
x
+
2
)
(
3
x
+
4
)
help please! ill mark brainliest
Answers
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{20}{29} 29 20 start fraction, 20, divided by, 29, end fraction (Choice B) B \dfrac{20}{21} 21 20 start fraction, 20, divided by, 21, end fraction (Choice C) C \dfrac{21}{29} 29 21 start fraction, 21, divided by, 29, end fraction (Choice D) D \dfrac{21}{20} 20 21
Answers
Answer:
Check Explanation
Step-by-step explanation:
The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.
It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.
These three dimensions perfectly form a Pythagorean triple.
So, the value of cos α now depends on the setup of the triangle.
From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as
Cos α = (Adj/Hyp)
For this Pythagorean triple,
Hyp = hypotenuse side = 29
Adj = Adjacent side = 20 or 21, depending on the triangle's setup.
If the adjacent is 20,
Cos α = (20/29), option A is correct.
If the adjacent is 21,
Cos α = (21/29), option C is correct.
Hope this Helps!!!
How can you use the properties of operations to evaluate this expression?
18 + 4(28). Explain.
Answers
Answer:
130.
Step-by-step explanation:
18 + 4(28(
= 18 + 4 * 28 Multiplication is done before addition so we have:
18 + 112
= 130.
Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.
dylan invested $600 in a savings account at a 2% annual interest rate. He made no deposits or withdrawals on the account for 2 years. The interest was compounded annually. Find, to the nearest follower, the balance in the account after 2 years.
Answers
Answer:
He's RICH
Step-by-step explanation:
100,566
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answers
f(x)=(0)^2+3(0)+5
f(x)=5
So your y intercept
Is y=5 or (0,5)
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
Which is an example of an abiotic factor that might limit the number in an African grassland giraffe population?
Answers
Answer:
rocks. rocks everywhere means no where for trees so no foods.
Step-by-step explanation:
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answers
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
what is 4 3/4 - 1/3 . I need this answer so I can pass .
Answers
Answer:
Step-by-step explanation:
Turn the fractions to the same denominator then subtract to get: 4 5/12
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
Answers
I need help Whats the Domain and range
Answers
Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Please help me with logarithms!
Answers
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
4.819 =x
Step-by-step explanation:
4^(x-1) = 3^x
Take the log of each side
log (4^(x-1)) = log(3^x)
We know that log a^b = blog a
(x-1) log 4 = x log (3)
Distribute
x log 4 -log 4 = x log 3
Subtract x log 4 from each side
x log 4 - x log 4 -log 4 = x log 3 - x log 4
- log 4 = x log 3 - x log 4
Factor out -x
- log 4 =- x ( log 4- log 3)
Divide by -1
log 4 = x (log 4 - log 3)
Divide each side by (log 4 - log 3)
log 4 / (log 4 - log 3) = x
4.81884167930641800 =x
Round to the nearest thousandth
4.819 =x
A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?
Answers
Answer:
The final cost of bike = $535.00Step-by-step explanation:
Cost of bikes = $500.00
If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;
7% of $500.00
= [tex]\frac{7}{100} * 500\\[/tex]
= $35
The final cost of bike = initial selling price + amount paid as tax
The final cost of bike = $500.00 + $35.00
The final cost of bike = $535.00
