Answer:
The volume of the sphere is 20 m
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of the cylinder [tex]= 30m^3[/tex]
Required
Volume of the sphere
First, we need to calculate the radius of the cylinder
The formula goes thus
[tex]V = \pi r^2h[/tex]
By substituting 30 for V, we have
[tex]30 = \pi r^2h[/tex]
Divide through by h
[tex]\frac{30}{h} = \frac{\pi r^2h}{h}[/tex]
[tex]\frac{30}{h} = \pi r^2[/tex]
Calculating the volume of the sphere
The formula goes thus
[tex]V = \frac{4}{3}\pi r^3[/tex]
Expand Expression
[tex]V = \frac{4}{3} * \pi r^2 * r[/tex]
Substitute [tex]\frac{30}{h} = \pi r^2[/tex]
[tex]V = \frac{4}{3} * \frac{30}{h} * r[/tex]
Simplify Expression
[tex]V = \frac{4}{1} * \frac{10}{h} * r[/tex]
[tex]V = \frac{40}{h} * r[/tex]
Given that the height of the cylinder and the sphere are equal
This means that the height of the cylinder equals the diameter of the sphere.
Mathematically; This is represented by
h = D
Where D represents diameter of the sphere
Recall that D = 2r (2 * radius)
Substitute 2r for D
h = 2r
Substitute h = 2r in [tex]V = \frac{40}{h} * r[/tex]; This gives
[tex]V = \frac{40}{2r} * r[/tex]
[tex]V = \frac{40r}{2r}[/tex]
[tex]V = 20[/tex]
Hence, the volume of the sphere is 20 m
How to solve
3x+y=9
5x+4y=22
Answer:
(2, 3) x=2, y=3
Step-by-step explanation:
There are two ways to solve this: substitution & elimination:
Using substitution for this equation:
[tex]\left \{ {{3x+y=9} \atop {5x+4y=22}} \right.[/tex]
3x + y =9
y = 9-3x
Substitute for y:
5x + 4(9 - 3x) = 22
5x + 36 - 12x = 22
-7x = -14
x = 2
Solve for y:
3(2) + y = 9
6 + y = 9
y = 3
What is the surface area of a cone with a radius of 3 meters and a slant of 4
Answer:
A≈65.97m²
Step-by-step explanation:
A=πrl+πr2=π·3·4+π·32≈65.97345m
Will give brainliest answer
Answer:
d = 13 cm
r = 6.5 cm
Step-by-step explanation:
The diameter is the distance from side to side going through the center
d = 13
The radius is 1/2 of the diameter
r = d/2 = 13/2 = 6.5 cm
How many twelfths equal two fourths
Answer: 6
Step-by-step explanation: Let n represent the number of twelfths in 5/4. Expressed symbolically, this is n/12 = 2/4. The LCD is 12. Multiply numerator and denominator of 2/4 by 3, obtaining: n/12 = 6/12 then n = 6. There are 6 twelves in 2/4.
There are 6 twelfths equal two fourths.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
We have to find twelfths equal two fourths
Let x represent the number of twelfths in 5/4.
So, the mathematical expression is
x/12 = 2/4.
Now, simplifying the fraction
x/ 12= 1/2
Now, multiply both side by 12
12 x/12 = 12/2
x= 6
Hence, there are 6 twelfths .
Learn more about Algebra here:
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PLEASE HELP !!!!!
Identify the relationship between the graphs
of these two equations.
y=-5x - 2
y-5x = 4
Click on the correct answer.
parallel
perpendicular
neither
Answer:
neither
Step-by-step explanation:
parallel run side by side and perpendicular cross at 90 degree angle. these equations come out to looking like a X
What is the sample space for a 5 sided number cube?
Answer:
{1, 2, 3, 4, 5}
Step-by-step explanation:
Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}
What is the experimental probability of rolling a number less than 3?
Answer:
The probability of rolling a number less than 3 (so, 1 or 2) is 2 out of 6, or 1/3. The odds are 4 to 2 against, or 2 to 1 against.
Step-by-step explanation:
If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333
What is the range of the data?
please help me out! i have a few more of these questions, about 3
Step-by-step explanation:
The y-intercept will be (0, 1). From that point, go 4 units to the right and 1 unit down. That is your next point. Keep doing that and then connect the points to make a line. Hope this helps!
A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate
Answer:
D
Step-by-step explanation:
D is the best choice. A excludes voters age 18-20 and 36+. B excludes everyone who doesn't own a business, and C excludes those who didn't vote for him. For the most honest results, D - everyone - is the best choice.
100 points if you want it. Puppy b weighs 8 pounds, which is about 75% of its adult weight. what will be the adult weight of puppy B.
Answer:
10.(6) pouds
Step-by-step explanation:
8 pouds .......... 75%
x pouds ...........100%
x = 8×100/75 = 800/75 = 10.(6) pouds
I really need help with this
Answer:
Step-by-step explanation:
In the first case the function could become undefined as x approaches -3 or 3 from either direction. The vertical asymptotes are x = -3 and x = +3.
In the second case, there's only one vertical asymptote, because the denominator can be zero (0) only at x = 0.
4) (3√2+4)(√2−1)=_____+√2
Response: __________
Answer:
[tex]2+\sqrt{2}[/tex]
Step-by-step explanation:
[tex](3\sqrt{2} +4)(\sqrt{2} -1) = (3*2)+4\sqrt{2} -3\sqrt{2}-4[/tex]
[tex]= 6-4+\sqrt{2}[/tex]
[tex]= 2+\sqrt{2}[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(3√2 + 4)(√2 - 1) = 3√2*√2 - 3√2*1 + 4 *√2 - 4*1
=3*√(2*2) - 3√2 + 4√2 - 4
= 3*2 - 3√2 + 4√2 - 4
= 6 - 3√2 + 4√2 - 4 {add the like terms}
= 6 - 4 - 3√2 + 4√2
= 2 + √2
Please help!
Identify whether the graph displays a linear or nonlinear function. Explain why.
Graph B
On a coordinate plane, Graph B curves up into quadrant 1.
Graph B displays a
Answer:
its d i just did it
Step-by-step explanation:
\
The graph is a linear and straight line so option (B) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
Given graph is ;
y = 2x - 3
The slope of any function is given by;
dy/dx
So,
d(2x - 3)/dx = -2
Since the slope is constant that it will be a straight line and the straight line curve is a linear function because it has a degree of 1.
Hence "The graph is a linear and straight line".
For more about the linear function,
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Given question is incorrect correct question is attached in form of the image below;
9x-y=-3
18x-7y=-21
A 0,3
B no solution
C 0,1
D -1,0
30 POINTS!! Please hurry
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each given function with the description of its graph.
Answer: Can you show the full question.
Step-by-step explanation:
Answer:
I don’t understand the question. Please give more info.
Step-by-step explanation:
what is the answer for the picture.
Answer:
4
Step-by-step explanation:
40-36=4
Answer:
She won by 4 seconds.
Step-by-step explanation:
If Bailey ran the race in approximately 36 seconds and Elena ran it in approximately 40 seconds, Bailey would've completed the race 4 seconds faster than Elena.
hematics for College Readiness - Sem 2 - 1200700
"ET
Consider the function f(x) = x2 + 2x – 15. What are the x-intercepts of the function?
Left-most x-intercept:
0)
Right-most x-intercept:
0)
Step-by-step explanation:
the x-intercept of this function is (-1,0)
Please help question is in image
Answer:
The equation log x = 100 is another way of writing 10x = 100.
Step-by-step explanation:
This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.
What is the solution to the equation?
2/3a - 1/6 = 1/3
Answer:
a in this equation would be 3/4 because...
Step-by-step explanation:
2/3a−1/6=1/3
2/3a+−1/6=1/3
2/3a+−1/6+1/6=1/3+1/6
2/3a=1/2
Multiply both sides by 3/2.
(3/2)*(2/3a)=(3/2)*(1/2)
a=3/4
Hope this helps!
answer with work pls!!
Can somebody please help me :(
Steps:
Boys: 30+40+50+60+60+70+70+70+80+80+80+90+90+100 = 970
Girls: 10+20+50+50+60+70+70+80+80+80+90+100 = 760
THEN Divide the sum of boys and girls but how many numbers you added
970 ÷ 14 = 69.2
910 ÷ 12 = 63.3
What is the value of x?
Enter your answer in the box. Round only your final answer to the nearest hundredth
Answer:
x = 12.5 yd
Step-by-step explanation:
To find the value of x, use the equation below
cos 37 = [tex]\frac{10}{x}[/tex]
0.80 = [tex]\frac{10}{x}[/tex] Take 10 divided by 0.80 to find x
x = 12.5
If this answer is correct, please make me Brainliest!
6 cm
4 cm
3 cm
12 cm
What’s the purple? Areas
Answer:
36 cm
Step-by-step explanation:
A = b1 + b2 x h / 1/2
A = 12 + 6 x 4 / 1/2
A polygon is shown:
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) (5 points)
Answer: 4
We're talking about the right part.
OP = RQ - NM = 7 - 3 = 4
PQ = MR - NO = 3 - 2 = 1
Area(OPQ?) = 4×1 = 4
Answer: 4
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is 4 square units.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
A polygon is given in the question, as shown
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units.
We have to determine the fill-in-the-blank.
As per the given figure, we can see that
OP = RQ - NM = 7 - 3 = 4
PQ = MR - NO = 3 - 2 = 1
Required area of rectangle = 4 × 1 = 4
Hence, the required fill-in blank will be "4".
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PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent
Answer:
Margin of Error = 1.0% to the nearest tenth of a percent.
Step-by-step explanation:
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.
Critical value = 1.960
Standard error = σₓ = √[p(1-p)/n]
p = 87% = 0.87
n = sample size = 4530
σₓ = √[0.87×0.13)/4530]
= 0.0049966876
Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.
Hope this Helps!!!
A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45°.
What is the volume of the pyramid?
A. 2.4 cm3
B. 3.6 cm3
C. 4.8 cm3
D. 7.2 cm3
Answer: 4.8cm^3
Step-by-step explanation:
2020 edge
hope this helps
Answer: C
Source: Trust me bro
what is the factorization of the polynomial below 9x^2+6x+1
Answer:
(3x+1)(3x+1)
Step-by-step explanation:
9x^2+[3x+3x]+1=3x(3x+1)+1(3x+1)=(3x+1)(3x+1)
Find the median of the following data set: 95, 92, 96, 93, 94, 95, 93 *
Answer:
93
the median is the middle of the data set
Step-by-step explanation:
Answer:
94.
Step-by-step explanation:
First, line the numbers up in order from least to greatest.
92, 93, 93, 94, 95, 95, 96.
Next, find the middlemost number.
Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.
Answer:
A score of -16 represents the lowest of points for these four turns.
The number for Aisha's highest score will be turn 2 on the number line.
That number is 10.
Step-by-step explanation:
Since the options of the drop down menu are not included, you should choose any option similar to lowest.
Aisha's highest score was obtained in turn 2 and that is 10.
Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.
