please help!
Find the exact volume of this cylinder in terms of 3.16 (Pi). Refer to your STAAR 8th Grade
Math Reference Sheet for the appropriate formula.
A) 45pi cm3
B) 90pi cm3
C) 225pi cm3
D) 900pi cm3
2nd Question (You don’t need to answer if you don’t want too..)
uhh how do I use the formula? do I multiply or??
thank you
Answers
Answer:
Question 1 )
given ,
height of cylinder = 9 cm
diameter of cylinder = 10 cm
[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]
now ,
[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]
therefore ,
option (C) is correct.
______________________________________
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Question - 2 )
dimensions of the rectangular prism are 2 × 3 × 4
[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]
hope helpful :D
The volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
It is given that the radius of the cylinder is 10 cm and height is 9 cm.
It is required to find the volume of the cylinder.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of a cylinder given by:
[tex]\rm V = \pi r^2 h[/tex]
We have diameter = 10 cm
Radius r = 10/2 = 5 cm
and height h = 9 cm
Volume will be:
[tex]\rm V= \pi \times5^2 \times 9[/tex]
V = 225π cubic cm
For the lateral surface area = 2h(l+b)
= 2×3(4+2)
= 36 square cm
Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
Learn more about the volume here:
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Related Questions
I really need help!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation: After purchasing 21 DVDs the membership is worth the money with a total spending of 104 dollars compared to 105 dollars without the membership.
Membership: -20, -24, -28, -32, -36, -40, -44, -48, -52, -56, -60, -64, -68, -72, -76, -80, -84, -88, -92, -96, -100, -104
No Membership: 0, -5, -10, -15, -20, -25, -30, -35, -40, -45, -50, -55, -60, -65, -70, -75, -80, -85, -90, -95, -100, -105
Lei is renting a paddle board from a local shop that charges a $12 fee, plus an hourly rate of $8.50. For how long can Lei rent a paddle board if she pays a total of $80?
Answers
Answer:
8 hours.
Step-by-step explanation:
80 = 12 + 8.5t where t is the time rented in hours
8.5t = 80 - 12 = 68
t = 68/8.5
= 8 hours.
Is each statement true or false?
Explain your answers
A.
[tex]m \: = x[/tex]
B.
[tex]z \: = x + y[/tex]
C.
[tex]m \: = y + z[/tex]
D.
[tex]m = 180 - x[/tex]
E.
[tex]x = 180 - (y + z)[/tex]
(the triangle is on the image)
Answers
Answer:
A, B: False
C, D, E: True
Step-by-step explanation:
The angle sum theorem and the definition of a linear pair of angles can help you answer these questions.
A.m = x; False. Angles m and x are a linear pair. They are supplementary (total 180°). They are only equal if they are both 90°, which is not indicated in this diagram as being the case.
__
B.z = x+y; False. Angles x, y, and z total 180° according to the angle sum theorem. The equation is only true if z = 90°, which is not indicated in this diagram as being the case.
__
C.m = y +z; True. This is explained by the equations of D and E, which are also both true. The theorem that expresses this relationship is, "an exterior angle is equal to the sum of the remote interior angles."
__
D.m = 180° -x; True. This is exactly what we mean when we say angles m and x are a linear pair. Together, they form a straight line. The angles of a linear pair are supplementary, meaning their sum is 180°. Angle m is also called an "external angle" of the triangle.
__
E.x = 180° -(y +z); True. The angles of a triangle total 180° according to the angle sum theorem. That means the value of any one of them is the difference between 180° and the sum of the other two. This is effectively telling you that angle x is supplementary to the sum of angles y and z.
Above, we noted that angle x is supplementary to angle m. Angles that are supplementary to the same angle have the same measure, so ...
m = 180° -x
180° -x = y +z . . . . . rearrange equation E
m = y +z
please help me answer this?
Answers
Answer:
$102
Step-by-step explanation:
The pay for the day of work is the total of morning hours worked and afternoon hours worked. In each case, the hours worked is the difference between the "Out" time and the "In" time.
morning hours = 12:15 -8:15 = 4:00
afternoon hours = 17:30 -13:00 = 4:30
total hours worked = morning hours + afternoon hours
total hours worked = 4:00 +4:30 = 8:30
This notation tells you (hours):(minutes). You know that 30 minutes is 1/2 hour, so the total time worked is 8 1/2 hours.
The pay is the product of the hours worked and the pay per hour:
pay = (8 1/2 hours) × ($12 /hour) = $102
The sum of two numbers is 39. the second number is 6 more than half of the first number. let a represent the firstnumber and let b represent the second number. what are the two numbers? use the table to answer the question.
Answers
Answer:
a = 22b = 17Step-by-step explanation:
Givens
Let a = the first number
Let b = the second number
Equations
a + b = 39
b = 1/2 * a + 6
Put the second equation into the first one
a + 1/2 * a + 6 = 39 Simplify the left.
(3/2)a + 6 = 39 Subtract 6 from both sides
(3/2)a + 6 - 6 = 39 - 6 Combine
(3/2)a = 33 Multiply both sides by 2
3a = 33*2
3a = 66 Divide both sides by 3
3a/3 = 66/3
a = 22
b = 1/2 a + 6
a = 22
b = 1/2 * 22 + 6
b = 11 + 6
b = 17
Check
22 + 17 = 39
What is the volume of the following rectangular prism?
1 1/3 units
4 1/2units?
Answers
Answer:
6 units
Step-by-step explanation:
4 1/2 x 1 1/3= 6
IMAGE BELOW I WILL GIVE BRAINLIEST
Answers
Answer:
A' (- 4, 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply each coordinate by the scale factor , that is
A (- 6, 9 ) → A' ([tex]\frac{2}{3}[/tex] (- 6), [tex]\frac{2}{3}[/tex] (9) ) → A' (- 4, 6 )
If X = 72, Y = 30, and Z = 78, what is the cosine of B?
Answers
You need to use ABC instead of XYZ because it is unclear which one is B.
Angel had $21 to spend on two notebooks. After buying them he had $13 left. How much did each note book cost?
Answers
Answer:
each notebook would cost $4
Step-by-step explanation:
21-13=8. 8/2=4
PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS
Answers
Answer:
FIRST ONE IS 300
Step-by-step explanation:
5X8X7.5=300 l x w x h
Answer:
Question A:
Your Answer would be:
C.) 300ft2
5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2
Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
how many blue cars are there
Answers
Answer:
81 blue
54 red
Step-by-step explanation:
let me know if this is helpful!
Which polynomial is a quartic trinomial?
A. -x^4-5x^2 + 1
B. x^2 + 4
C. x^3 + 2x^2 - 8x + 16
D. 3x^5 + 7x^2 - 9x^4
Answers
Answer:
A
Step-by-step explanation:
a quartic trinomial is a polynomial of degree 4 , with 3 terms
The only polynomial to fit this description is A
In the rectangle below, sketch the position of the ribbons and outline a right triangle with a diagonal of the rectangle as the hypotenuse. Then, label the right triangle below the rectangle with the appropriate lengths from the problem.
Answers
The length of the ribbon needed to cross from one corner of the rectangle to the other corner is 7 1/2 feet.
What is the length of the ribbon needed?The length of the ribbon needed can be determined using the Pythagoras theorem.
The Pythagoras theorem: a² + b² = c²
where
a = length
b = base
c = hypotenuse
√4.5² + 6²
√36 + 20.25 = 7.5 feet
To learn more about Pythagoras theorem, please check: https://brainly.com/question/14580675
A vertical mast is held in place by wires from the top of it to the ground the mast is 60m tall and the wires from the top of it to the ground is 25m from the foot of the mats.How long is each wire
Answers
Answer:
65 m
Step-by-step explanation:
The length of the mast, 60 m, is a leg of a right triangle.
The distance the wire is from the foot of the mast is the other leg.
The length of the wire is the hypotenuse of the right triangle.
We can use the Pythagorean theorem to find the length of the wire.
a² + b² = c²
60² + 25² = c²
3600 + 625 = c²
c² = 4225
c = 65
Answer: 65 m
Sue gets 4 texts every 10 minutes. How many texts does she get in a week
Answers
Answer:
she gets 280 texts in a week
Step-by-step explanation:
just multiply 4 times 10 then multiply that answer which is 40 then multply 40 times 280
I'm hopeless at these pls help
Answers
Answer:
x = -14 I hope this helps :)
if there are 12 cookies and you ate 1/2 how many cookies will you have left
Answers
Answer:
6 cookies
Step-by-step explanation:
half of twelve is 6
12/2=6
A national survey is conducted to assess the association between hypertension and stroke in persons over 75 years of age with a family history of stroke. Development of stroke is monitored over a 5 year follow-up period. The data are summarized below and the numbers are in millions. Compute the RELATIVE RISK of stroke in hypertensive as compared to non-hypertensive persons.
Answers
The relative risk of stroke in hypertensive as compared to non-hypertensive persons will be 1.8367.
How to calculate relative risk?From the complete information, those with hypertension that had strike is 12. Those with no hypertension but had stroke is 4.
Also, those with hypertension but don't have stroke is 37 while those with no hypertension but had stoke is 26.
Therefore, the relative risk will be:
= (12/12 + 37) / (4/4 + 26)
= 12/49 / 4/30
= 1.8367
In conclusion, the correct option is 1.8367.
Learn more about relative risk on:
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If the record time was 29 in 2015 and now the record time is 25 in 2019 what is the rate of change
Answers
An arithmetic sequence has this recursive formula:
|a =7
n = an=1
- 4
What is the explicit formula for this sequence?
Answers
An arithmetic sequence can be expressed as explicitly or recursively
The explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]
How to determine the explicit formulaThe recursive formula is given as:
[tex]a_n = a_{n -1} - 4[/tex]
[tex]a_1 = 7[/tex]
Substitute 2 for n in [tex]a_n = a_{n -1} - 4[/tex]
[tex]a_2 =a_1 - 4[/tex]
This gives
[tex]a_2 =7 - 4[/tex]
[tex]a_2 =3[/tex]
Calculate the common difference (d)
[tex]d = a_2 -a_1[/tex]
[tex]d = 3- 7[/tex]
[tex]d = -4[/tex]
The explicit formula is then calculated as:
[tex]a_n = a_1 + (n - 1)d[/tex]
This gives
[tex]a_n = 7+ (n - 1)*-4[/tex]
Expand
[tex]a_n = 7+4 - 4n[/tex]
[tex]a_n = 11 - 4n[/tex]
Hence, the explicit formula of the sequence is [tex]a_n = 11 - 4n[/tex]
Read more about arithmetic sequence at:
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a=1/2(2x6)x4 i need helppp !!
Answers
Answer:
A=24
Step-by-step explanation:
First, we do the equations in the brackets(2x6) which is 12.
Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.
Then we x4 so the answer is 24.
a = 24
Step-by-step explanation:
[tex]\rm \: a = \frac{1}{2} (2 \times 6) \times 4 \\ \\ \rm a= \frac{1}{2} (12) \times 4 \\ \\ \rm a= \frac{12}{2} \times 4 \\ \\ \rm \: a = 6 \times 4 \\ \rm \: a = 24[/tex]
A new car is purchased for $31,000 and over time its value depreciates by one half
every 6.5 years. How long, to the nearest tenth of a year, would it take for the value
of the car to be $3,800?
Answers
Using an exponential function, it is found that it would take 19.68 years for the value of the car to be $3,800.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal, after each n years.In this problem:
The initial value is of $31,000, hence A(0) = 31000.It depreciates by one-half every 6.5 years, hence r = 0.5, n = 6.5.Then, the equation is:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
[tex]A(t) = 31000(1 - 0.5)^\frac{t}{6.5}[/tex]
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
The value would be of $3,800 at t for which A(t) = 3800, hence:
[tex]A(t) = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex]3800 = 31000(0.5)^\frac{t}{6.5}[/tex]
[tex](0.5)^\frac{t}{6.5} = \frac{3800}{31000}[/tex]
[tex](0.5)^\frac{t}{6.5} = 0.12258064516[/tex]
[tex]\log{(0.5)^\frac{t}{6.5}} = \log{0.12258064516}[/tex]
[tex]\frac{t}{6.5}\log{0.5} = \log{0.12258064516}[/tex]
[tex]t = 6.5\frac{\log{0.12258064516}}{\log{0.5}}[/tex]
t = 19.68.
It would take 19.68 years for the value of the car to be $3,800.
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
t≈19.7
Step-by-step explanation:
I do not have one, I apologize.
Complete the equation so that it has infinitely many solutions.
12x−x+8+3x=
Answers
Answer:
= 14x +8
Step-by-step explanation:
For the equation in one variable to have infinitely many solutions, it must be true for all values of x. That is, the left side and the right side must simplify to identical expressions.
The left side simplifies to ...
12x -x +8 +3x = (12 -1 +3)x +8 = 14x +8
So, we can give the equation infinitely many solutions if the right side is 14x +8:
12x -x +8 +3x = 14x +8 . . . . has infinitely many solutions
Jasmine has four rectangular baking pans. Which of the pans has the greatest volume?
Pan D: 8 in. by 8 in by 2 1/2 in.
Pan A: 9 in. by 16 in by 1 1/2 in.
Pan C: 9 in. by 9 in by 2 in.
Pan B: 9 in. by 13 in by 1 in.
Answers
Answer:
16 11/2
Step-by-step explanation:
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you are shopping in a video store and have $49.50 to spend each DVD costs $4.25. ESTIMATE the maximum number of DVDs you could buy?
Answers
With a total of $49.50 one would be able to buy 12 DVDs in the video store
Estimation of NumbersGiven data
Amount at hand = $49.50Cost per DVD = $4.25Required: the Number of DVDs that can be bought
The expression for find the number of DVDs is given as
Number of DVD = Total Amount/Cost per unit
Number of DVD = 49.50/4.25
Number of DVD =11.64
Hence $49.50 would buy approximately 12 DVDs
Learn about Estimates here;
https://brainly.com/question/5399974
Hi, good morning. i will give u brainlest if u help me thanks and if u get the answer correct.
Answers
Hello!
Total brownies: 16 (so that's the denominator of the fraction)
Brownies with nuts: 6 (that's the numerator of our fraction)
The fraction is:
[tex]\bf{\displaystyle\frac{6}{16}}[/tex]
Divide the numerator (6) and denominator (16) by 2:
[tex]\bold{\displaystyle\frac{3}{8}}[/tex]
That's the answer.
I hope everything is clear.
Let me know if you have any questions!
#KeepLearning :-)
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
⇒ Given:
Conner made 16 brownies.
Put nuts on 6 brownies.
⇒ To Find:
Write the simplified fraction of the brownies that had nuts.
⇒ Solution:
Since Conner made 16 brownies:
16 brownies is the total also known as denominator of a fraction.
Since, Conner put nuts on 6 brownies:
6 brownies is the ones that has nuts also known as numerator of a fraction.
Thus, the fraction is [tex]\frac{6}{16}[/tex].
It a even number thus, we can simplify:
[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]
[tex]=\frac{2\cdot \:3}{16}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:16=2\cdot \:8[/tex]
[tex]=\frac{2\cdot \:3}{2\cdot \:8}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{3}{8}[/tex]
Therefore, the simplify fraction of the brownies that had nuts is [tex]\frac{3}{8}[/tex]
`~lenvy~`
The rectangle graphed has a length of 5 and a width of 4. How does the perimeter change when the width is decreased by half?
A) The perimeter is decreased by 2.
B) The perimeter is decreased by 4.
The perimeter is decreased by 5.
C) The perimeter is decreased by 6.
D) The perimeter is decreased by half
sam
Answers
Answer:
B
Step-by-step explanation:
The perimeter is decreased by 4 because 2(5+2) = 14 when 2(5+4) = 18
The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school cafeterias. He wants to determine if there is a difference in the proportion of students who would purchase from the potato bar for two high schools, East and West. The cafeteria manager at each high school randomly surveys 90 students. At East High School, 63 of the students said they would purchase the potato bar on that day.
At West High School, 45 students said they would. Based on the 99% confidence interval, (0.02, 0.38), is there convincing evidence of a difference in the proportions of students who would purchase from the potato bar between East and West High Schools?
O There is convincing evidence because the entire interval is above 0.
O There is convincing evidence because the sample proportions are different at each high school.
O There is not convincing evidence because another interval using a lower level of confidence might contain 0.
O There is not convincing evidence because the entire student body should have been asked.
Answers
Using the confidence interval, it is found that the correct option is:
There is convincing evidence because the entire interval is above 0.
When does a confidence interval for the difference of proportions gives convincing evidence that there is a difference?It gives convincing evidence when 0 is not part of the confidence interval.
In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:
There is convincing evidence because the entire interval is above 0.
More can be learned about confidence intervals at https://brainly.com/question/25890103
Answer:
There is convincing evidence because the entire interval is above 0.
Step-by-step explanation: EDGE 2022
Jamie needs to lease a car. At Big City Nissan, Jamie can lease an Altima for $3,000 down plus $420 per month. Big City will also give her the first two months of her lease free. At Rye Town Nissan, they offer her the same car for $3960 down plus $400 per month. Rye Town will give her the first four months free. After how many months would both deals cost the same?
Answers
Answer:
90 months
Step-by-step explanation:
Let x = number of months
Let y = total cost of deal
Big City Nissan
y = 3000 + 420x - 840
⇒ y = 2160 + 420x
Rye Town
y = 3960 + 400x
Equate the equations and solve for x
2160 + 420x = 3960 + 400x
⇒ 420x - 400 x= 3960 - 2160
⇒ 20x = 1800
⇒ x = 90
Mathamatics What decimal is being represented by the decimal grid?
Answers
100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26