Answers
Area of a circle = pi x r^2
Area of the circle = 4^2 x pi = 16pi
3/4 of the circle is shaded
area of shaded portion = 3/4 x 16pi = 12pi
Answer 12 pi
Answer:
b
Step-by-step explanation:
4 of the nonshaded areas =a
Related Questions
If you know the diameter of a circle,
how do you find the following. Explain
the steps clearly
a. the area of that circle?
b. the circumference of the circle?
Answers
Step-by-step explanation:
a. Area of a circle = πr², where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.
Step 2: substitute radius into the formula.
Area of a circle = π([tex]\frac{1}{2}[/tex]d)²
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
Area of a circle = 3.14([tex]\frac{1}{2}[/tex]d)²
Step 4: substitute d into the formula, then we can solve its area.
b. a. Circumference of a circle = 2πr, where r means radius.
Step 1: converted diameter to radius.
diameter = 2 radius
In other way of writing, radius = [tex]\frac{1}{2}[/tex] diameter.
Step 2: substitute radius into the formula.
C = 2π([tex]\frac{1}{2}[/tex]d)
Step 3: substitute π into the formula.
some question is given the value of π), if not substitute 3.14 for π.
C = 2(3.14)([tex]\frac{1}{2}[/tex]d)
Step 4: substitute d into the formula, then we can solve its circumference.
Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?
In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.
please help
Answers
Answer:
It will take 16 cups to empty the sink with the blue cup and it will take 4 cups to empty the sink with the green cup.
I got this answer by doing the formula for a cylinder
Blue cup Green cup
(π)(2^2)(8) (π)(4^2)(8)
= 32π =128π
Then i divided them both by 512 and got the answer for the number of cupfuls it will take to empty the sink
To empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.
It is given that Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches.
It is required to find how many cupfuls of water to empty the sink.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We have:
Sink volume V = 512π cubic inches
The blue cup diameter d(b) = 4 in or radius r(b) = 2 in
and height h(b) = 8 in
The green cup diameter d(g) = 8 in or radius r(g) = 4 in
and height h(g) = 8 in
The cup is the shape of a cylinder we know the volume of a cylinder is given by:
[tex]V = \pi r^2 h[/tex]
Volume for the blue cup:
[tex]\rm v(b) = \pi\times 2^2 \times 8[/tex] [ r(b) = 2 in and h(b) = 8 in]
v(b) = 32π cubic inches
Volume for the green cup:
[tex]\rm v(g) = \pi\times 4^2 \times 8[/tex] [r(g) = 4 in and h(g) = 8 in]
v(g) = 128π cubic inches
For a number of blue cups:
[tex]=\frac{512\pi}{32\pi}[/tex] ⇒ 16
For a number of green cups:
[tex]=\frac{512\pi}{128\pi}[/tex] ⇒ 4
Thus, to empty the sink 16 cups it will take for the blue one and 4 cups it will take for the green cup.
Learn more about the volume here:
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Which symbol makes the comparisons true ? Complete the comparison -6 ? 3
Answers
[tex]======================================[/tex]
Negative numbers are always less than positive ones.
Do you remember the symbol for "less than"? That's right, "<" :)
Hence,
-6<3
Because
-6 is negative (the - sign tells us that)
3 is positive
[tex]===================================[/tex]
Notes: Hope everything is clear.Let me know if you have any questions!Answered by:~DiamondS~
A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make? The z-statistic is 0. 22, so the null hypothesis should not be rejected. The z-statistic is 1. 69, so the null hypothesis should not be rejected. The z-statistic is 3. 32, so the null hypothesis should be rejected. The z-statistic is 3. 67, so the null hypothesis should be rejected.
Answers
We conclude that z-score = 0.0005 which is less than 5%.
To calculate the z-statistic,
We must first calculate the standard error.
What is the formula for standard error?
Standard error is standard deviation divided by the square root of the population.
[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]
In this case, it is equal to 1.81.
The z-score is defined the distance from the sample to the population mean in units of standard error.
z = (26 – 20)/1.81 = 3.31
Therefore we conclude that z-score = 0.0005 which is less than 5%.
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653005 number with commas as per the international number system
Answers
Answer:
653005 = 653,005 in the International System of Numeration, the number is (Six hundred fifty-three thousand and five)
Candice is putting together a business outfit. There are 6 pairs of pants and 2 dress shirts to choose from. How many different outfits can Candice put together?
Answers
Sarah answered 70% of the trivia questions correctly. What fraction describes this percent? Enter your answer as a simplified fraction The fraction that describes this percent is
Answers
Answer:
7/10
Step-by-step explanation:
70 out of 100 as a fraction would be 70/100 but since they said simplify it becomes 7/10.
This cannot be made smaller, as 7 cannot be divided into 2 evenly.
Hope this helps!
To get your car repaired at a certain dealership in Woodstock, the rate charged is $90 per hour worked on your car, plus a $50 diagnostic fee.
1) Create an equation to find the (C)harge to fix the car:
2) If your car was worked on for 4.6 hours what would be the total charge?
3) If the total cost was $800, how many hours was the car in the shop?
Answers
H- hours
D- diagnostic fee
C= #H(90)+ D
C= 4.6(90)+50
=414+50
=$464
C-$800
H-?
D-50
C= #H(90)+50
800=H(90)+50
H(90)=800-50
H(90)=750
H(90)/90=750/90
H=750/90
H= 8.33333333
A lake is 85 feet across using scale 1 inch :4 feet how many inches
Answers
Answer:
85÷4=21.25 is the anwer
5. Which of the following would have the same graphic representation as the function
f(x) = 27.3^x ? Select all that apply.
O f(x) = 3•3^3x
O f(x= 3^4x
O f(x) = 3^x+3
O f(x) = (3x)^3
O f(x) = 9.3^x+1
Answers
Answer:
f(x) = 3^x+3
f(x) = 9.3^x+1
Step-by-step explanation:
Hope it helps you in your learning process.
To find how high school students feel about hot lunches, adam walks to the nearest high school and gives a survey postcard to every twentieth student that enters the building. he asks the students to mail the postcard in if they choose to participate in the study. why might the method used be biased?
Answers
The statement second and statment third are the reason that method used might be biased.
It is given that Adam gives a survey postcard to every twentieth student that enters the building.
It is required to find the statement why the method used to be biased.
What is the sample size?The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.
Adam gives a survey postcard to every twentieth student, not every student that enters the building.
It means asking every twentieth student does not represent the student population.
Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.
Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.
Thus, the statement second and statment third are the reason that method used might be biased.
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Answer:
B and C
Step-by-step explanation:
The figure below consists of a square and a right triangle. Find the missing length x.
Answers
Answer:
12
Step-by-step explanation:
pythagorean theorem
PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary
Answers
Answer:
~21.23
Step-by-step explanation:
First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.
Hope this helps!
Give me brainliest too ;)
Answer: 21.23
Step-by-step explanation:
The formula for finding the area of a circle is pi times radius squared.
9x+3=14give your answer as an improper fraction in its simplest form
Answers
Answer:
11/9
Step-by-step explanation:
Solve by completing the Square
[tex]2x^{2} +3x=20[/tex]
Answers
Step-by-step explanation:
2x²+3x=20
2x²+3x=20
(√2x)²+2(√2x)(3/2√2)+(3/2√2)²-(3/2√2)²=20
(√2x+3/2√2)²=20+9/8
(√2x+3/2√2)²= 169/8
(√2x+3/2√2)= ±13/2√2
√2x=10/2√2 or -16/2√2
x= 10/4 or -16/4
x= 5/2 or -4
What is the volume of this figure?
Enter your answer in the box.
ft³
Three-dimensional figure that could be formed by placing two rectangular prisms together to form an L shape where the wider part of the L is on the bottom and the L extends up from the left side. The wider part of the L has a length of 6 ft and a width of 2 ft and a height of 3 ft. The L extends up on the left side with the total height of the figure labeled 8 ft. The taller part of the L has a length of 4 ft and a width of 2 ft.
Answers
The volume of the L-shaped figure would be the total volume of the two rectangular prisms that forms the shape.
What is the Volume of a Rectangular Prism?The volume of a rectangular prism = length × width × height
The image referred to in this question is missing, however, to find the volume of the figure that has L-shape, decompose the figure into two rectangular prism and find the volume of each rectangular prism.
The volume of the figure would be the total volume of the two rectangular prisms.
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What is the volume of this cone? Use 3.14 for pi and round your answer to the
nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then
explain how you calculated it.
Answers
Find the lateral area of a cone.
Answers
Answer: B. 1178 cm²
What we are solving for:
The lateral area is, put simply, the surface area of the cone not including the bottom.
The formula is:
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
Height of the cone:
This calls for the height, since it is a right triangle we can use the Pythagorean theorem to solve.
a² + b² = c²
15² + b² = 25²
225 + b² = 625
b² = 400
b = [tex]\sqrt{400}[/tex]
The height is 20 cm
Solving:
Back to the formula,
L = πr[tex]\sqrt{h^{2} +r^{2} }[/tex]
L = π15[tex]\sqrt{(20)^{2} +(15)^{2} }[/tex]
L ≈ 1178.1 cm²
The lateral area of the cone is B. 1,178 cm².
Write the equation of the line that passes through the point (2, -1) and has a slope of -3.
Answers
Answer:
Y=-3x+5Step-by-step explanation:
slope is -3/1
Slope is Rise/Run
meaning 3 down and 1 right
so in this case the down means the Y-axis
and the right means the x-axis
so lets put out some points.
(2,-1)
Then 1 right and down 3
(3, -4)
(4,-7)
and soo on, but we want to fin the point where x is zero.
Why?
Because that is where the y-Intercept is at.
Slope Intercept form is y=mx+b
Where m is the slope
And b is the y- Intercept
Soooo
Let's work backwards
Instead of Right 1 and Down 3 lets do
Left 1 and Up 3
And we will be starting with our original point
(2,-1)
then left 1, Up 3
2-1=1
-1+3=2
soo...
(1,2)
then again
(0,5)
That is our Y-intercept.
Now lets put all of it together.
Y=Mx+B
M=Slope
B=Y-Intercept
Y=-3x+5
You're welcome...
SonicIsCoool, if you need more help im at your service.
6
x
+
8
<
3
x
+
4
give your answer as an improper fraction in its simplest
Answers
6x + 8 < 3x + 4
6x - 3x < 4 - 8
3x < -4
x < - 4/3
Answer:
-4/3
Step-by-step explanation:
help pls first correct answer gets brainleist
Answers
Answer:
18
Step-by-step explanation:
a^2 + b^2 = c^2
in this case 24 is a and 30 is c
24^2 = 576
30^2 = 900
900 - 576 = 324
the square root of 324 is 18
Write the equation of a line in slope-intercept form that is parallel to y = 2x and goes through the point (1, 9).
this is geometry
Answers
So I can help you
Answer:
the answer is y = 2x + 7
Step-by-step explanation:
for it to be parallel has to have the slope
Solve and I will mark brainliest.
Answers
The second one has a maximum of 1.
In an amusement park ride, a rider suspended by cables swings back and forth from a tower. The maximum speed v (in meters per second) of the rider can be approximated by v=2gh, where h is the height (in meters) at the top of each swing and g is the acceleration due to gravity (g≈9.8 m/sec^2). Determine the height at the top of the swing of a rider whose maximum speed is 15 meters per second. Round your answer to the nearest tenth.
Answers
According to the equation for the maximum speed, it is found that the height at the top of the swing of the rider is of 0.8 m.
What is the equation for the maximum speed?As stated in the problem, it is given by:
v = 2gh.
In which:
v is the maximum speed.g is the gravity.h is the height.In this problem, the parameters are g = 9.8, v = 15. Hence we can solve for h to find the height.
v = 2gh
2 x 9.8h = 15
19.6h = 15
h = 15/19.6
h = 0.8.
The height at the top of the swing of the rider is of 0.8 m.
More can be learned about functions at https://brainly.com/question/25537936
1. What is the algebraic expression for the following word phrase:
a. the sum of 4x and 3
b. the quotient of 5 and the sum of 9 and y
C.
the quotient of 7 and y
Answers
Answer & Step-by-step explanation:
a. 4x + 3 {sum means add the numbers together}
b. [tex]\frac{5}{9 + y}[/tex] {quotient means divided by}
c. [tex]\frac{7}{y}[/tex]
The picture shows 3/8 of Puja's penny collection.
*nine pennies*
A. What fraction of her collection is 6 pennies?
B. What fraction of her collection is 21 pennies?
Answers
The fraction of her collection that is 21pennies is 56
Ratio and proportionsGiven the fraction for Puja's collection expressed as 3/8
Leet x be the fraction of her collection which is 6 pennies, to have;
x of 3/8 = 6
3x/8 = 6
3x = 48
x = 16
Hence the fraction of her collection that is 6pennies is 16
Let y be the fraction of her collection which is 21 pennies, to have;
x of 3/8 = 21
3x/8 = 21
x = 56
Hence the fraction of her collection that is 21pennies is 56
Learn more on ratio and proportions here: https://brainly.com/question/19994681
What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:
25.3m³
Step-by-step explanation:
(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box
Answers
Answer:
C) 42 square cm
Step-by-step explanation:
each rectangle 2x3 = 6
each square 3x3 =9
4 rectangles 4x6 = 24
2 squares 2x9=18
24+18 = 42
1. Are we limited to using a trigonometric function only in cases of an object that has a cyclical behavior? Is it possible to model physical, permanent, structures using the trigonometric functions?
2. Why can the movement of a yo-yo be modeled by a sinusoidal curve?
Answers
Trigonometric functions are not only used in cases of an object that has a cyclical behavior.
What is a trigonometric function?It should be noted that trigonometric functions are real functions that relate the angle of a right angled triangle to the ratios of the two side lengths.
Trigonometric functions are not only used in cases of an object that has a cyclical behavior. It can be used to obtain unknown angles in geometric figures.
It can also be used to model the fluctuations in temperature data for a particular year.
The movement of a yo-yo can be modeled by a sinusoidal curve since it exhibits a periodic behavior.
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Factor this number sentence for me please
3−12x
Answers
Answer: 3(1-4x)
Step-by-step explanation: if you distribute the answer, you will get 3-12x.
Have a nice day!