Answer:
2.30 cm
Step-by-step explanation:
Circumference of circle= πD, where D is the diameter.
Substitute all the given information into the formula:
7.22= 3.14D
Divide both sides by 3.14:
D= 7.22 ÷3.14
D= 2.30 (3 s.f.)
Thus, the diameter is 2.30 cm. (rounded off to 3 significant figures)
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
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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Solve by completing the Square
[tex]2x^{2} +3x=20[/tex]
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
6
x
+
8
<
3
x
+
4
give your answer as an improper fraction in its simplest
6x + 8 < 3x + 4
6x - 3x < 4 - 8
3x < -4
x < - 4/3
Answer:
-4/3
Step-by-step explanation:
12. A grocery store collects donated canned
food for a food bank. The cans are packed
in boxes that hold 24 cans. The store has
collected 744 cans.
a) Draw a graph to show this situation. Put
the number of boxes on the horizontal
axis and the number of cans on the
vertical axis. 2
b) Use your graph to estimate the number
of boxes needed to hold 744 cans.
c) Write an equation that relates the
number of boxes needed to the number
of cans.
d) Solve your equation to determine the
number of boxes needed.
e) Compare your solution in part (d) with
your estimate in part (b). Do you think
)
your solution is correct? Explain.
Answer:
For the last three years, the National Post has greeted the yuletide season by publishing the video above. With a simple message of maximizing charitable giving by donating money to the food bank instead of canned goods, it is one of our most popular videos of all time, reaching virtually every corner of the English-speaking world.
Step-by-step explanation:
The figure below consists of a square and a right triangle. Find the missing length x.
Answer:
12
Step-by-step explanation:
pythagorean theorem
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.
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
9x+3=14give your answer as an improper fraction in its simplest form
Answer:
11/9
Step-by-step explanation:
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?
653005 number with commas as per the international number system
Answer:
653005 = 653,005 in the International System of Numeration, the number is (Six hundred fifty-three thousand and five)
Math, help, please!
Find the value of x
Answer:
x = 130
Step-by-step explanation:
A triangle always adds up to 180 de grees. If we do this we can find the value of x!!
33 + 97 + y = 180
130 + y = 180
180 - 130 = 50
Since the line x is on is a flat line and a flat line also equals 180, we will subtract the 50 from 180 to get x's value
180 - 50 = 130
Your answer is 130 :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
x = 50°
Step-by-step explanation:
if you know the measure of two angles in a triangle then the third angle measure will be 180 minus the sum of the other two
in this case the two interior angles add to 130
180-130 = 50
check: 33 + 97 + 50 should equal 180, and it does
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
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!
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.
(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box
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. 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
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]
What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?
Answer:
25.3m³
Step-by-step explanation:
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.
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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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
Answer:
the answer is y = 2x + 7
Step-by-step explanation:
for it to be parallel has to have the slope
Find the value of x that makes line m ll n
Answer:
See below ↓
Step-by-step explanation:
14.
Between two lines m ║ n, the ∦ cuts through them forming two anglesAs it forms a line, the sum of the angles is 180°3x + 47 + x + 7 = 1804x + 54 = 1804x = 126x = 126/4 = 63/2 = 31.515.
Alternate exterior angles on a transversal are equal5x = 2x + 783x = 78x = 26
Write the equation of the line that passes through the point (2, -1) and has a slope of -3.
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.
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?
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?
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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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.
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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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
Answer:
f(x) = 3^x+3
f(x) = 9.3^x+1
Step-by-step explanation:
Hope it helps you in your learning process.
Find the lateral area of a cone.
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.
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?
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:
A lake is 85 feet across using scale 1 inch :4 feet how many inches
Answer:
85÷4=21.25 is the anwer
please answer these quickly i need this
Answer:
A
Step-by-step explanation:
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
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.
Factor this number sentence for me please
3−12x
Answer: 3(1-4x)
Step-by-step explanation: if you distribute the answer, you will get 3-12x.
Have a nice day!
Solve and I will mark brainliest.