The volume of a cylinder is 542pi in?. The height of the cylinder is 16 in. What is the radius of the cylinder to the nearest hundredth?
The volume of a sphere is 5,055pi m. What is the surface area of the sphere to the nearest square meter?
Answers
Answer:
I. Radius, r = 5.82 in
II. S.A of a sphere = 19.61 meters
Step-by-step explanation:
Given the following data;
I. Volume of cylinder = 542π in³
Height = 16 in
To find the radius of the cylinder;
Volume of cylinder = πr²h
542π = πr²*16
Dividing both sides by π, we have;
542 = 16r²
r² = 542/16
r² = 33.875
Radius, r = 5.82 in
II. Volume of sphere = 5.055π m³
To find the surface area of the sphere;
First of all, we would find the radius of the sphere.
[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]
Substituting into the formula, we have;
[tex] 5.055 \pi = \frac {4}{3} \pi r^{3} [/tex]
Cross-multiplying, we have;
[tex] 5.055 \pi * 3 = 4 \pi r^{3} [/tex]
[tex] 15.165 \pi = 4 \pi r^{3} [/tex]
Dividing both sides by 4π, we have;
[tex] 3.79 = r^{3} [/tex]
Taking the cube root of both sides, we have;
r = 1.56 m
Next, we find the surface area (S.A) of the sphere;
S.A of a sphere = 4πr
S.A of a sphere = 4*3.142*1.56
S.A of a sphere = 19.61 meters
Related Questions
Write a fraction that is equivalent to 5/6
Answers
Answer:
10/12 , 15/18 , 20/24 ...etc
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x – 2
y>5/2x-2 (should be the greater than or equal to sign)
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (-2,-2) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answers
9514 1404 393
Answer:
A) The first inequality has a dashed boundary line with a slope of 4 and a y-intercept of -2. The shading is below the line. The second inequality has a solid boundary line with a slope of 5/2 and a y-intercept of -2. The shading is above the line. The solution space is a narrow wedge extending up and to the right of the y-intercepts at (0, -2) through the fourth quadrant into the first quadrant.
B) Not in the solution space. The point does not satisfy y < 4(-2) -2 because -2 is not less than -10.
Step-by-step explanation:
Part A:
The boundary line of each inequality is in slope-intercept form, so can be drawn easily by finding points with the appropriate slope=rise/run from the common y-intercept at (0, -2).
The first inequality does not include the "or equal to" case, so the boundary line will be dashed. The relation of y and the inequality symbol is y < ( ), so the shading will be below the line, where y-values are less than those on the line.
The second inequality includes the "or equal to" case, so the boundary line is solid. The relation of y and the inequality symbol is y ≥ ( ), so the shading will be above the line, where y-values are greater than those on the line.
The two shaded areas overlap in a narrow wedge between lines with slope 2.5 and 4. The lower-left point of the wedge is the common y-intercept at (0, -2). It extends through the fourth quadrant into the first quadrant. This wedge is the solution area.
__
Part B:
Based on the above description, no part of the solution space is in the third quadrant, where the point (-2, -2) lies. The point is not in the solution space. It does not satisfy the first inequality:
[tex]-2\nless(4)(-2)-2=-10[/tex]
7 - 13a = 27 solve for A
Answers
Answer:
a = -20/13
Step-by-step explanation:
7 - 13a = 27
-13a = 20
a = -20/13
Let's check
7 - 13(-20/13) = 27
7 + 260/13 = 27
7 + 20 = 27
27 = 27
So, a = -20/13 is the correct answer!
Find the equation of the straight line passing through the point (3, 5)
which is perpendicular to the line
y = 3x + 2
Answers
Answer:
y = -1/3x + 6
Step-by-step explanation:
the slope is -1/3 because you find the the reciprocal and switch the sign. To find the y intercept you plug in the points to the equation.
5 = -1/3(3) + b
5 = -1 + b
6 = b
If YG = 12, then EG is?
How is it not 6? Please help, no links
Answers
Answer:
I THINK ANSWER IS 12 because DIAGONALS BISECT EACHOTHER
The ratio of sweaters to dresses that Susan has is 7:2. If Susan has 14 dresses then how many sweaters does she have?
Answers
Answer:
4 sweaters
Step-by-step explanation:
If the ratio is 7:2, then 14//7 = 2
2x2=4
Me jay bought a television for 9560, he used it for some years and later sold it at a profit of 1439. Find his selling price
Answers
Answer:
10999
Step-by-step explanation:
9560 + 1439 = 10999
Thenks and mark me brainliest :)
Calculate the perimeter of a square with side 12cm
Answers
Answer: 48 cm
Step-by-step explanation:
12 + 12 + 12 + 12 = 48
10,14,18,22,26 find the 12 term of the sequence
Answers
Answer:
30,34,38,42,46,50,54,58,62,66,70
What is the circumference of the circle that has a radius of 8.6mm?
Answers
A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows:
Salary Education
34 3
66 1
89 4
56 3
71 7
80 2
111 7
51 0
23 7
36 2
100 1
35 1
71 6
68 9
163 5
56 0
86 5
58 4
128 9
33 0
Salary Education
34 3
66 1
⋮ ⋮
33 0
a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round answers to 2 decimal places.) Salaryˆ= + Education
b. Interpret the coefficient for Education.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $4,690.
As Education increases by 1 unit, an individual’s annual salary is predicted to decrease by $8,590.
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $8,590.
c. What is the predicted salary for an individual who completed 7 years of higher education? (Round coefficient estimates to at least 4 decimal places and final answer to the nearest whole number.)
Salaryˆ $
Answers
Answer:
y = 4.69X + 52.93 ;
As Education increases by 1 unit, an individual’s annual salary is predicted to increase by $4,690. ;
$86000
Step-by-step explanation:
Given the data:
X:
34
66
89
56
71
80
111
51
23
36
100
35
71
68
163
56
86
58
128
33
Y:
3
1
4
3
7
2
7
0
7
2
1
1
6
9
5
0
5
4
9
0
The regression equation obtained using a linear regression calculator :
y = 4.689X + 52.93182
Where ;
y = Salary ; x = Educational attainment
Slope is the Coefficient of x = 4.689
Intercept = 52.93
The slope value in thousand = 4.689 * 1000 = 4689 = 4690 (the slope is interpreted to the mean the change in y value per unit change in the value of x)
Therefore, salary increases by about $4690 for every unit increase.
If x = 7
y = 4.689(7) + 52.93182
y = 32.823 + 52.93182
y = 85.7548
Salary =, $86,000
someone plz help :(
i'm struggling heree
Answers
Answer:
39.96 in²
Step-by-step explanation:
10.8x3.7=39.96
Answer:
19.98
Step-by-step explanation:
area=½×base ×height
½×10.8×3.7
=19.98
Is it true that congruent figures have the same shape and the same size?
TRUE OR FALSE?
22 POINTS BTW!!
Answers
Answer:
yahh
Step-by-step explanation:
thats true
i know its help
Answer:
True
Step-by-step explanation:
Two congruent figures have the same shape and size.
Five more than a number is greater than 26
Answers
x > 21
The number is greater than 21
Now solve for x. 26-5=21
X>21
I need help with these
Answers
Answer:
1. − 5/4
2. 77/3
Step-by-step explanation:
SO SORRY IF THIS IS WRONG!! T^T
9+2+4+6+123=?
please help
Answers
Answer:
144
Step-by-step explanation:
9+2+4+6+123=
11+10+123
21+123
144
ratiearbiteracy
toen we zui
ii
Ghics12
The average inflation rates for the period 2016 to 2017 are shown in the following iable.
2017
1 2018
Average Inflation rate 4,51%
6,59%
Cost of a brown bread
R9.99
A
8.1.1
Explain the meaning of the term inflation rate.
8.1.1
Calculate the cost of a loaf of brown bread in 2017 by using the average
inflation rates that are given in the table above.
ON NO: 3
: MAPS AND SCALES
ensure Learners know the following:
IBER/RATIO SCALE
Answers
Sorry but You gone have to higher the price for this, this is a big question.
In a equation is it true that when a variable is alone you have to add a number 1 to it?
I’m wondering since I have to add it to my notes.
Answers
GIVING 100 PTS AND BRAINLIEST IF ALL ARE ANSWERED CORRECTLY NOT GUESSED WITH EVIDENCE IF YOU GET THEM ALL CORRECT I WILL THROW IN 200 POINTS
Answers
Answer:
hopefully i got this right lol
Step-by-step explanation:
First Question:
2, 1
Second Question:
I'm assuming the lawn is the shaded region, which to solve you will need to calculate the area of the trapezoid and then subtract that by the area of the building.
EQUATION for area of building: l*w
48 * 64 = 3072^2ft
EQUATION for area of trapezoid: (a+b)/2h
subsitute
(100 + 150)/2 (80) = 10000
10000 - 3072 = 6928^2 ft
Third Question:
Answer: 26 1/4
Explanation: In order to find the volume of any rectangular prism, you need to multiply the length, width, and height. In this case, the equation is: 6 * 1 1/4 * 3 1/2 = 26 1/4
In 1965, the population of a country was 192 thousand to 3 significant figures.
In 2020, the population of that country was 366 thousand to 3 significant figures.
Work out the percentage increase in population. Give your answer correct to 2 significant figures.
Answers
The percent change in population is 90.65%.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given population of country in 1965 = 192 thousand = 1,92,000.
population of country in 2020 = 366 thousand = 3,66,000
the increase in population is = 366000 - 192000 = 1,74,000
the percentage increase = (100)(increase in population)/(1965 population)
the percentage increase = (100) (174000)/(192000)
the percentage increase = 90.625%
Hence the percent increase is 90.62%.
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Clare has $150 in her bank account. she buys a bike for $200. what is Clare's account balancenow?
Answers
Answer:
-50
Step-by-step explanation:
Answer:
Step-by-step explanation:
if she had $150 in he bank account and buys a bike that costs 200 she possibly can't afford it since she is $50 dollars short so even if she borrows $50 dollars she has to repay the person 50 dollars before she starts earning another money so i think it is -50. if it doesn't help am sorry I hope you got this answer correct. goodluck
Someone answer this please
Answers
Answer:
[tex] 1,334.5 \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cylinder h = 17 cm
Radius of the cylinder r = 5 cm
[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]
[tex]if \: x = 1 - \sin( \alpha ) \: and \: y = 1 + \cos( \alpha ) \\ [/tex]
Express y in terms of x and alpha only
Answers
Answer:
A sample of helium was compressed at 35 °C from a volume of 0.5 L
to 0.25 L where the pressure is 500 mmHg. What was the original pressure?
Step-by-step explanation:
Write 25 4 as a mixed number.
Answers
Answer:
6 1/4
Step-by-step explanation:
The number 6 with 1/4
so basically see how many times 4 goes in to 25 which is 6 times then take the remainder which is one so 6 1/4
Can i be Brainliest
what fraction is 40 minutes of 8 hours
Answers
40 minutes of 8 hours as a fraction is 1/12.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given are 40 minutes to 8 hours.
We can write -
(40 minutes/8 hours)
{40 minutes/(8 x 60)}
(40/480)
1/12
Therefore, 40 minutes of 8 hours as a fraction is 1/12.
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Find the volume of the cylinder. Round your
answer to the nearest tenth.
Answers
Formula of volume of a cylinder: V=Bh
V= (3.14 (10)^2) 16
10x10 = 100
(3.14 x 100) 16
(314 x 16)
V = 5,024
Manuel will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.60 per mile driven
The second plan has no initial fee but costs $0.80 per mile driven.
For what amount of driving do the two plans cost the
same?
miles
What is the cost when the two plans cost the same?
3
Answers
From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What is unitary method?The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.
x= miles
60+0.6x=0.8x
0.8x-0.6x=60
0.2x=60
x=60/0.2
=300 miles
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Plz show the work.........
Answers
Answer: 32A
Step-by-step explanation: KYXS
Relay Race Results
10. The table shows the time each
member of two relay teams took
to complete her leg of a relay race.
Team II won the race by 2 s. How
many seconds did Trina take to
run her leg of the race?
Leg
1
Team 1
Name
Time (s)
Ali
22
Bryn 25
Mai
23
Team II
Name
Time (s)
Lea
23
Niki
22
Trina
2
3
4
Tara
21
Sara
20
Answers
93
because if the team second wones the match with two points then the answer will be 93
5.4 ⋅ 103 to standard form.