The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as
the cylinder?
O 3(40) ft
O
1
40
O (40) At
o 3 (402)
Answers
Answer:
Option (3)
Step-by-step explanation:
Volume of the cylinder = 40 ft³
Since, volume of a cylinder is given by the expression,
V = [tex]\pi r^{2}h[/tex]
Here, r = radius of the circular base
h = Height of the cylinder
40 = [tex]\pi r^{2}h[/tex]
[tex]h=\frac{40}{\pi r^2}[/tex] ------(1)
Volume of a cone = [tex]\frac{1}{3}\pi r^{2} h[/tex]
By substituting the value of 'h' from equation (1)
Volume of the cone = [tex]\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )[/tex]
= [tex]\frac{1}{3}(40)[/tex] ft³
Therefore, Option (3) will be the correct option.
Related Questions
A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?
Answers
The total length needed in inches will be 490.5 inches.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long The total length needed in inches will be:
= (3 ft 4 7/8 inch × 12)
Note that 1 feet = 12 inches
= (12 × 3) + (4 7/8) × 12
= (36 + 4.875) × 12
= 490.5 inches
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Mr. Paras sold a portion of his lot to his friend. The lot was 65 meters long and 32 meters
wide. However, part of it measuring 21 meters long and 3 meters wide was donated for
the right of way of his neighbors. What was the area of lot he sold excluding the right of
way?
1. What is the area of the lot that he supposed to sell?
2. What was the area of the donated lot for the right of way?
3. What was the area of the remaining lot that was actually sold?
Please answer it correctly huhu I really need it rn T - T
Answers
Answer:
1. What is the area of the lot that he supposed to sell?
65*32 = 2080 sq. m2. What was the area of the donated lot for the right of way?
21*3 = 63 sq. m3. What was the area of the remaining lot that was actually sold?
2080 - 63 = 2017 sq. mAnswer:
1.2,080 m²
2.63m²
3.2,017
4.25m²
5.81m²
Explanation:
1. A = LW
A = 65 m × 32 m
A = 2,080 m²
2. A = LW
A = 21 m × 3 m
A = 63m²
3. A = 2,080 m² – 63 m²
A = 2,017 m²
4. A = s²
A = (5m)²
A = 25 m²
5.
A = s²
A = (9 m)²
A = 81 m²
6. Which of the following is true about the line given by 8x - 2y = 24?
A) The slope is negative.
B) The y-intercept is negative.
C) The x-intercept is 8.
D) The line does not pass through quadrant III.
Answers
Answer:
B
Step-by-step explanation:
put equation in slope-intercept formula (y=mx+b)
8x-2y=24
-8x -8x
-2y=-8x+24
divide each side by -2
y=4x-12
the "b" in the formula is the y-intercept which is -12, therefore B is correct
The order of rotational symmetry of the given figure is
Question 7 options:
A)
7.
B)
5.
C)
6.
D)
8.
Answers
Answer:
A
Step-by-step explanation:
Need it ASAP, please!!!
Answers
Answer:
27y - 45 + 7z
The ratio of men to women working for a company is 6 to 5 . If there are 105 women working for the company, what is the total number of employees?
Answers
Answer:
231 employees
Step-by-step explanation:
The ratio of men to women working for the company is 6 to 5, which means that for every 5 women working at the company, there are 6 men working at the company.
Since there are 105 women working at the company,
there are 6/5 * 105 = 126 men working at the company.
In total, there are 126 men + 105 women = 231 employees working for the company.
cesar is making a solution for his chenistry class. he puts 3/4 gram sodium chloride and 1/3 gram potassium chloride on the scale. what is the combined mass of the compounds?
Answers
The combined mass of the compounds is 13/12 grams
How to determine the combined mass of the compounds?From the question, we have the following parameters that can be used in our computation:
3/4 gram sodium chloride and 1/3 gram potassium chloride
The combined mass of the compounds is then calculated as
Combined mass = sodium chloride + potassium chloride
Substitute the known values in the above equation, so, we have the following representation
Combined mass = 3/4 + 1/3
Evaluate the sum
Combined mass = 13/12
Hence, the combines mass is 13/12 grams
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This is the right way or the wrong answer
Answers
Answer:
This is the right answer.
find the area of the diagram below
Answers
Answer:
220
Step-by-step explanation:
formula for area of a triangle is 1/2 base times height in this case thats 1/2(10X6) which is 30 sense there are 4 multiply 30 by 4 to get 120 then add that to the area of a square which is 10X10 or a hundred to get 220
1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answers
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
You want to install a 1-yd walk around a circular swimming pool. The diameter of the pool is 20 yd. What is the area of the walk?
Answers
Answer:
Area=π*r*r
π=3.14
3.14*20*20=1256
what is the experimental probability of spinning a white or yellow?
PLEASE PLEASE PLEASE HURRY ITS DUE TOMORROW!!!!!!
yellow / 5
blue / 12
green / 8
white / 9
red / 6
Answers
The experimental probability of spinning a white or yellow is 7/20
How to determine the experimental probability of spinning a white or yellow?From the question, we have the following parameters that can be used in our computation:
Outcomes of experiments
The outcomes of experiments are given as
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow can be calculated using the following equation
P(White or Yellow) =P(White) + P(Yellow)
Substitute the known values in the above equation, so, we have the following representation
P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)
Evaluate the sum
P(White or Yellow) = 14/40
Simplify
P(White or Yellow) = 7/20
Hence, the probability is 7/20
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If s is directly proportional to t, and s = 30 when t = 15, find t when s = 64.
Answers
Step-by-step explanation:
please refer to sketch for detail
there are no good answers on brainly can someone pls answer this
Answers
Answer:
D
Step-by-step explanation:
explanation on the other response on ur other question
I’ve been stuck on this for about a week, I know it might seem easy but I’m very bad at fractions and my teacher won’t help me
Answers
On solving the provided question we can say that - the increased value in fraction will be [tex]3\frac{1}{4}[/tex]
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
we have,
initial = [tex]4\frac{5}{6}[/tex]
increased by = [tex]4\frac{1}{4}[/tex]
son difference is = [tex]3\frac{1}{4}[/tex]
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Are x and y proportional when Y /X equals five
Answers
Answer:
no
Step-by-step explanation:
Radius of a circle is 5 cm
Length of a rectangle is 9.2 cm
Width is 4 cm
Area of the shaded region is
A. 36.5 cm B. 41.7 cm2 C. 42.6 cm2
D. 48 cm2
Answers
Answer:
the answer is (b.)41.7cm²
the workings;;
9.2cm×4cm+5cm=41.8 or 41.7cm²
Is this a right triangle? How do you know?
Answers
Answer:
Yes, Pythagorean theorem
Step-by-step explanation:
Yes, as by doing the Pythagorean theorem, a^2+b^2=c^2 you can confirm that it is.
8^2+15^2=17^2
64+225=17^2
289=17^2
(square root both sides)
17=17
Plz help me god blesss you
Answers
Answer:
d. III
Step-by-step explanation:
Quadrants:
In the first quadrant, both x and y are positive, that is, x > 0 and y > 0.
In the second quadrant, y is positive while x is negative, that is, x < 0 and y > 0.
In the third quadrant, both x and y are negative, that is, x < 0 and y < 0.
In the fourth quadrant, x is positive while y is negative, that is, x > 0 and y < 0.
In this question:
x < 0 and y < 0, so third quadrant, and the correct answer is given by option D.
What is the probability that (enter the probability only, do not round.):
• Exactly 2 are male?
• At least 7 are male?
• None are male?
• Less than 3 are male?
• There are 3 or 4 males?
• At least 1 is male?
Answers
Answer:
7
Step-by-step explanation:
The required probabilities are
• Exactly 2 are male = 0.08
• At least 7 are male = 0.14
• None are male = 0.60
• Less than 3 are male = 0.12
• There are 3 or 4 males = 0.019
• At least 1 is male = 0.04
Probabilities to college reported that 40% of its population is male. Nine students are selected at random.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
For Exactly 2 are male = 2 * 0.04
= 0.08
Similarly,
• At least 7 are male = 0.14
• None are male = 1 -0.40 = 0.60
• Less than 3 are male = 0.12
• There are 3 or 4 males = 0.12 *0.16 = 0.019
• At least 1 is male = 0.04
Thus, the required probability is given above.
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Please help me I don’t understand this at all
Answers
A, C, and D are the answers.
help me fill this out! please be honest and help me , i'll mark you brainlesst
Answers
Answer/Step-by-step explanation:
1. The vertex of am angle is formed when two lines join together. The vertex of the angle shown in the diagram is located outside the circle.(<R)
2. The lines that created <FRT (lines FR & TR) are secants
3. The major arc = FT = 140°
minor arc = QS = 44°
4. Formula of Exterior angles of a circle = (major arc - minor arc)/2
x = (140 - 44)/2
x = 96/2
x = 48°
find the inverse of the function
f (x) = 15 + sqrt 5x - 5
Answers
[tex]15 + \sqrt{5x - 5} = f(x)[/tex]
Replace y for x and vice versa
[tex]15 + \sqrt{5y - 5} = x[/tex]
Solve for y.
[tex]15 + 5y - 5 = {x}^{2} [/tex]
[tex]15 + 5y = {x}^{2} + 5[/tex]
[tex]5y = {x}^{2} - 10[/tex]
[tex]y = \frac{ {x}^{2} - 10 }{5} [/tex]
[tex]f {}^{ - 1} (x) = \frac{ {x}^{2} - 10 }{5} [/tex]
If
Please answer DO NOT PIT LINKS I WILL FIND YOU
Answers
y=5x^2-30x+95=5x^2-30x+45+50=5(x^2-6x+9)+50= (x-3)^2+50
helppp mee nowww plssss
Answers
Answer:
the answer is D, Mars is one of the smallest planets
match the equation with its corresponding solution for x. 6= -1/3x+5
Answers
Answer:
x=-3
Step-by-step explanation:
The table shows the types and numbers of prizes at a carnival game what is the ratio of stuffed animals to posters
Answers
Answer:
Step-by-step explanation:
3
v + 9 over 3= 8
what is v?
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
8
all 5 raised garden beds?
5 5/8bags of soil
9 3/8 bags of soil
9 5/8 bags of soil
8 7/8 bags of soil
5 3/8 bags of soil
Answers
The fraction of soil bags Will needs in total for all 5 raised garden beds is 9 3/8.
What is community?In mathematics, community is the study of how objects interact and relate to each other. It focuses on analyzing the relationships between elements and understanding how they interact to form each other. Also explore how changes in one element affect other elements. Community in mathematics is also about recognizing patterns, finding solutions, and exploring the impact of change. It is an integral part of mathematics and is used in many areas of study such as algebra, geometry, and calculus. This can be calculated by multiplying the number of raised beds (5) by the amount of soil required per raised bed.
(1 7/8 bag).
5 x 1 7/8
= 9 3/8 bags
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A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly-selected dives by 7 different otters recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met. Predictor Coef SE Coef Constant 52.789 5.257 10.04 0.000 Water temp 3.3684 0.4216 7.990 0.002 5.557 R-Sg 92.7% R-Sg (adj ) 91.3% = S =
Which of the following is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
(a) 0.4216
(b) 0.4216
(c) 5.257
(d) 5.257
(e) 5.557
Which of the following is the best interpretation of the quantity S
(a) The sum of the squared deviations between each observed dive duration and the dive 2.
(b) The sum of the squared deviations between each observed water temperature and the
(c) The average distance between the water temperature for each dive and the mean water
(d) Predictions of dive duration from water temperature based on this regression model will
(e) The average distance between the duration of each dive and the mean dive duration for duration predicted by the regression equation is 5.557 seconds. water temperature predicted by the regression equation is 5.557 seconds. temperature for all the dives in this sample is about 5.557 seconds. be off by an average of about 5.557 seconds. all the dives in this sample is about 5.557 seconds.
Answers
Answer:
b
Step-by-step explanation:
The solution is : 0.4216 is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
here, we have,
from the data given
The estimate of the standard deviation of the sampling distribution of b,
( The slope of the sample regression line for the relationship )
= 0.4216
i.e. intersection of SE coef and water temperature )
Testing the effect of water temperature on the length of time sea otters can remain
Hence, The solution is : 0.4216 is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship.
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