Answer:
C. V = two-thirds (27)
Step-by-step explanation:
Given
Solid Shapes: Cylinder and Sphere
Volume of Cylinder = 27π ft³
Required
Volume of the sphere.
From the question,
We have that
1. The volume of the sphere is the same as the volume of the cylinder
2. The height of the sphere is the same as the height of the cylinder.
From (2) above;
This means that the height of the cylinder equals the diameter of the sphere.
Let h represent the height of the sphere and d represent the diameter of sphere.
Mathematical, d = h
Recall that radius, r = [tex]r = \frac{d}{2}[/tex]
Substitute h for d in the above expression
[tex]r = \frac{h}{2}[/tex]. ----- (take note of this)
Calculating the volume of a cylinder.
V = πr²h
Recall that V = 27; This gives us
27 = πr²h
Divide both sides by h
[tex]\pi r^2 = \frac{27}{h}[/tex]
-------------------
Calculating the volume of a sphere
[tex]V = \frac{4}{3}\pi r^3[/tex]
Expand the above expression
[tex]V = \frac{4}{3}\pi r^2 * r[/tex]
Substitute [tex]\pi r^2 = \frac{27}{h}[/tex]
[tex]V = \frac{4}{3} * \frac{27}{h} * r[/tex]
Recall that [tex]r = \frac{h}{2}[/tex]
So,
[tex]V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}[/tex]
[tex]V = \frac{4}{3} * \frac{27}{2}[/tex]
[tex]V = \frac{2}{3} * 27[/tex]
[tex]V = \frac{2}{3} (27)[/tex]
V = two-third (27)
Identify the median for the data summarized on the boxplot.
A) 17.5
B) 21
C) 23.5
D) 35
Answer:
a.17.5
Step-by-step explanation:
Answer:
C. 23.5
Step-by-step explanation:
The median is the line in the middle of the inside of the box.
If we locate the line in the middle of the box, we can see that it is above the number 23.5.
Therefore, the median of this box plot is 23.5 and the correct answer is choice C.
PLEASE HELP ME!!!
I don't understand.....
If possible, PLEASE explain how you got to the answer!
31
Step-by-step explanation:
We need to find the value of angle D so that we can solve for X. To do that we need to find the value of angle A and that value will be the same value as D because these angles are the same.
To do that we have to add angles C and B together and that equals 118°. Then we have to realize that all the angles of a triangle add up to 180°. So then we have to subtract 118° from 180° and that equals 62°. So now we have the value of A.
If the value of angle A is 62° then that must be the value of angle D because these two angles are the same. So now that we have the value of angle D we need to solve for X. This equation is asking what times 2 equals the value of X. We know the value of X is 62°. So what times 2 equals 62°?
31×2=62°
Therefore the value of X is 31
Hope this helps! If you have any more questions or you need further clarification please comment down below or message me! Good luck!
f(x)=x^2. What is g(x)
Answer:
D
Step-by-step explanation:
What is the solution to h over negative 24 less-than-or-equal-to 18?
h greater-than-or-equal-to 432
h less-than-or-equal-to 432
h less-than-or-equal-to negative 432
h greater-than-or-equal-to negative 432
Answer:
the answer is the last one.
Step-by-step explanation:
First we multiply both sides of the inequality by -24 to isolate the variable.
Then, since we are multiplying with a negative number, the inequality sign flips.
All we do next is calculate.
Step by step we have
[tex] \frac{h}{ - 24} \leqslant 18 \\ - 24 \times \frac{h}{ - 24} \geqslant - 24 \times 18 \\ h \geqslant - 432[/tex]
Answer:
d
Step-by-step explanation:
i took quiz on edg 2020
WILL MARK BRAINLIEST! PLEASE SHOW WORK!
The volumes of two similar solids are 729m3 and 512 m3. The surface area of the solid is 324m2 What is the surface area of the smaller solid?
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{volume_1}{surface-area_1} = \frac{volume_2}{surface-area_2}[/tex]
[tex]\frac{729}{324} = \frac{512}{x}[/tex]
Step 2: Cross multiply
[tex]\frac{729}{324} = \frac{512}{x}[/tex]
[tex]729(x) = 324(512)[/tex]
[tex]729x = 165888[/tex]
Step 3: Divide both sides by 729
[tex]729x / 729 = 165888 / 729[/tex]
[tex]x = \frac{165888} {729}[/tex]
[tex]x = 227.555...[/tex]
Answer: [tex]x = \frac{165888} {729}[/tex] or in decimal form - [tex]x = 227.555...[/tex]
Answer:
256 m²
Step-by-step explanation:
(Ratio of sides)³ = Ratio of volumes
729/512 = (Ratio of sides)³
Ratio of sides = 9/8
(Ratio of sides)² = ratio of area
(9/8)² = (324/x)
x = 256
Whtas is 10 to the 10 millionth power
Answer:
100,000,000
Step-by-step explanation:
Answer:
[tex]10^{1000000}[/tex]
Step-by-step explanation:
The volume of a can of chicken broth that had a diameter of 7.5 Centimeters and a heighten 11 centimeters. Round to the nearest tenth
Mrs. Brennan and Mrs. Prato went out for lunch. The cost of Mrs. Brennan’s lunch was $12.95 and the cost of Mrs. Prato’s lunch was $13.71. If Mrs. Brennan and Mrs. Prato want to split the total lunch bill evenly, what would each person pay?
Find the value of X! :)
Answer:
C. 98
Step-by-step explanation:
122 - 24 = 98
Which simplified fraction is equal to 0.5ModifyingAbove 3 with bar? StartFraction 24 Over 45 EndFraction StartFraction 8 Over 15 EndFraction StartFraction 48 Over 90 EndFraction StartFraction 5 Over 9 EndFraction
Answer:
StartFraction 8 Over 15 EndFraction
Step-by-step explanation:
We want to represent 0.5333... as a fraction. Let's call x that fraction:
x = 0.5333
Then,
10x = 5.3333
100x = 53.333
100x - 10x = 53.333 - 5.3333
90x = 48
x = 48/90
dividing numerator and denominator by 6, we get:
(48/6) / (90/6) =8/15
Answer:
The simplified fraction is 1/8
The correct option is;
StartFraction 8 Over 15 EndFraction
Step-by-step explanation:
Here, we are given the simplified fraction result as [tex]0.5\bar3[/tex] which is the same as [tex]\frac{1}{2}+\frac{1}{30} =\frac{15+1}{30} =\frac{16}{30} =\frac{8}{15}[/tex]0.53333......
Therefore, to find the simplified fraction, we split the resultant value into the component parts as follows;
[tex]0.5\bar3[/tex] = 0.5 + 0.0[tex]\bar3[/tex]
We observe that the above equation is the same as [tex]\frac{1}{2}+\frac{1}{30}[/tex]
Hence, we simplify [tex]\frac{1}{2}+\frac{1}{30}[/tex] to arrive at
Therefore, the simplified fraction = 1/8.
Solve for x. 3/7 = x/49 ?
15, 18, 21, 24
Help me please, again :)
Answer:
15
Step-by-step explanation:
When two lines intersect the sum of the angles on one side of the line will be equal to 180. This means that you can add the two values and get 180.
Add the values you have and solve for x.
6x + 3 + 87 = 180
6x + 90 = 180
6x = 90
x = 15
Answer: x = 14
Step-by-step explanation: assuming that (6x + 3) degrees = 87 degrees
6x+3 = 87
6x = 84
x = 14
Solve each equation for 0
2cos^2 x+3 cos x-2=0
Answer:
Step-by-step explanation:
A on edge
Answer:
Got it! its D. 60 degrees and 300 degrees.
Step-by-step explanation:
The area of the right triangle shown is 24 square feet.
Which equations can be used to find the lengths of the legs
of the triangle? Select three options.
0,5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x - 24 = 0
x2 + 2x - 48 = 0
x2 + (x + 2)2 = 100
Answer:
A, 0.5(x)(x+2)=24, D, x²+2x-48=0, and E, x²+(x+2)²=100
Step-by-step explanation:
A and D are correct because they simply involve the Area of a Triangle formula. A has the formula in the same format, but D has the 0.5 divided from by both sides.
E, on the other hand, uses the Pythagorean theorem to solve for both legs.
A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct the student’s error.
Answer:
[tex] -3 +2y \leq 4x[/tex]
[tex] 2y \leq 4x+3[/tex]
[tex] y \leq 2x + \frac{3}{2}[/tex]
And that's different from the claim of the student that:
[tex] y \geq 2x +\frac{3}{2}[/tex]
The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1
Step-by-step explanation:
For this case we have the following inequality:
[tex] -3 +2y \leq 4x[/tex]
We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:
[tex] 2y \leq 4x+3[/tex]
Now we can divide both sides of the inequality by 2 and we got:
[tex] y \leq 2x + \frac{3}{2}[/tex]
And that's different from the claim of the student that:
[tex] y \geq 2x +\frac{3}{2}[/tex]
The error of the student is that he/she changes the sign of the inequality from [tex] \leq[/tex] to [tex]\geq[/tex] and that's not possible since we don't multiply both sides of the equation by -1
The following prime factorization of which composite number?
2 to the 2nd power, 3 to the 2nd power, 5.
20. 60. 120. 180.
Answer: none of them
Step-by-step explanation:
Which choice is correct about angle RWL
Answer:
C. 50
Step-by-step explanation: The measure of angle RWL is 50°. It is an acute angle.
Hopefully yo had this question.
how much bigger is the area of a pizza with a diameter of 18 inches than the area of a pizza with a diameter of 10 inches
Answer:
approximately 3.24 times greater
Step-by-step explanation:
The formula for the area of a circle of radius r is A = πr². Because we are given the diameter here (not the radius), we substitute d/2 for r in the above formula, obtaining:
A = π(d/2)²
Case 1: A = π [18 in / 2]² = π(9 in)² = 81π in²
Case 2: A = π[10 in/2]² = π[5 in]² = 25π in²
Dividing 81π in² by 25π in² gives us the desired result:
The area of the larger pizza is 81/25 times the area of the smaller one, or approximately 3.24 times greater.
Which sale gives the greatest percent discount
Answer:
A 100% sale would be the greatest discount
Step-by-step explanation:
100% off would cost $0. The highest percent off would be the greatest or the highest amount of dollars off.
if this helped please hit thanks button + rate <3
Answer:
Original price reduced by 30%.
Which of these statements is true?
Answer:
any translation can be replaced by a rotation
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
A. 14 pi in
B. 28 pi in
C 42 pi in
D 196 pi in
2. What is the circumference in terms of pi? Diameter= 6.6m.
A.16.2 pi m^2
B. 10.89 pi m^2
C. 21.78 pi m^2
D. 43.56 pi m^2
Answer:
1. B 2. B
Step-by-step explanation:
1. The formula for circumference is C= pi times diameter
Radius is half of diameter, so you'd multiply 14 times 2 which gives you 28. Since it's asking for it in pi, it'll be 28 pi.
2. I think instead of circumference, it's asking for area because if it was asking for circumference the answer would have been 6.6 pi, but that answer isn't there. So if it's asking for area, the formula is A= pi(r²) They gave the diameter instead. Remember, the radius is half of the diameter, so in order to get the radius, you'd divide 6.6 by 2 and get 3.3. Then, multiply 3.3 with the number itself, and you'll get 10.89.
Hope this helps!
1. What is the circumference of the given circle in terms of pi? radius= 14 in.
A. 14 pi in
B. 28 pi in
C 42 pi in
D 196 pi in
2. What is the circumference in terms of pi? Diameter= 6.6m.
A.16.2 pi m^2
B. 10.89 pi m^2
C. 21.78 pi m^2
D. 43.56 pi m^2
these would be both B
B. 28 pi in
B. 10.89 pi m^2
Alan found 20 quadrilaterals in his classroom. He made a Venn Diagram using the properties of the quadrilaterals, comparing those with four equal side lengths, E, and those with four right angles, R. Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths?
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The Stegosaurus dinosaur weighed about 2000 kilograms. The weight of his brain was only 0.004% of the weight of his body. How much did the Stegosaurus brain weigh?
Answer:0.08 kilograms
Step-by-step explanation:
a floor plan is drawn using a scale of 3cm/15ft what length is represented by 1 centimeter ?
A ratio expresses the number of times one number contains another. The length represented by 1 centimeter in real is 5ft.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given that a floor plan is drawn using a scale of 3cm/15ft. Therefore, the 3 cm on the floor plan represents 15 ft in real. Thus, we can write the ratio as,
Ratio = Length on floor plan/Length in real = 3cm / 15 ft
Length on floor plan/Length in real = 3cm / 15ft
Now, the length represented by 1 centimeter in real can be written as,
Length on floor plan/Length in real = 3cm / 15ft
1 cm/Length in real = 3cm / 15ft
Length in real = (15ft × 1cm)/3cm
Length in real = 5 ft
Hence, the length represented by 1 centimeter in real is 5ft.
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A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
What is the probability of landing on an even number? (Write your final answer as a percentage.)
P(event) =
Answer:
50%
Step-by-step explanation:
If there are 4 parts to the spinner, 4 is the whole. Since there are 2 even numbers (2&4), the fraction would be [tex]\frac{2}{4}[/tex], which is simplified to [tex]\frac{1}{2}[/tex]. And because [tex]\frac{1}{2}[/tex] could also turn into [tex]\frac{50}{100}[/tex], the percentage is 50%.
Hope this helps :)
Answer:
A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
What is the probability of landing on an even number? (Write your final answer as a percentage.)
ANSWER:
P(event) = 50%
Step-by-step explanation:
just took on EDGE 2020 hope it helps.
:)
Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium?
a. 100
b. 70
c. 40
d. There is not enough information given to determine the point of equilibrium.
Answer:
70 Forsure E2020
Step-by-step explanation:
The coordinates of the point of equilibrium are (-60, 110).
What is demand graph?A demand curve is graph that shows the relationship between the price of a good or service and the quantity demanded within a specified time frame.
Mathematically, we can write demand curve equation as -
Q = a - bP
where -
Q = linear demand curve
a = factors influencing demand besides price
b = slope
P = price
Given is to find the price at the point of equilibrium.
Equation for supply curve -
y = mx + c
y = {(25 - 20)/(10 - 0)}x + c
y = x/2 + 20
Equation for demand curve -
y = mx + c
y = {(10 - 20)/(40 - 30)}x + c
y = - x + 50
Point of equilibrium -
The point where demand equals to supply. We can write -
x/2 + 20 = - x + 50
x/2 - x = 30
- x/2 = 30
x = - 60
then -
y = 60 + 50
y = 110
Therefore, the coordinates of the point of equilibrium are (-60, 110).
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heLp me please ಥ╭╮ಥ
Answer:
The answer is c. 242 ft^2
Step-by-step explanation:
i JUST TOOK THE TEST AND THIS WAS THE ANSWER!
Answer:
We must calculate the length of the "slope"
Hypotenuse^2 = 11^2 + 4^2
Hypotenuse^2 = 121 + 16
Hypotenuse^2 = 137
Hypotenuse = 11.7
Area of "slope" surface = 11.7 * 6 = 70.2 sq feet
Area of Base = 6 *4 = 24 sq feet
Area of rear side = 6 * 11 = 66 sq feet
Area of both sides = 44 sq feet
Total area = 70.2 + 24 + 66 + 44 = I get 204.2 which is NOT any of the choices.
****************************************************
Geez, I recalculated everything and still got the same answer. Any idea where I went wrong?
Step-by-step explanation:
The Hatfield and McCoy families are feuding over some land. Neither family will be satisfied unless the two triangular fields are exactly the same size. You know that C is the midpoint of each of the intersecting segments in the diagram. Are the two
triangles congruent?
Write a paragraph providing how you know. Include specific and appropriate vocabulary/terminology in your explanation.
The two column proof has shown that:
The two triangles are congruent by SAS congruency postulate
How to use the Two Column Proof?
The two column proof to show that the two triangles are congruent is:
Statement 1: C is the midpoint of AD and BE
Reason 1: Given
Statement 2: AC ≅ CD
Reason 2: Definition of midpoint
Statement 3: BC ≅ CE
Reason 3: Definition of midpoint
Statement 4: ∠ACB ≅ ∠ECD
Reason 4: Vertical angles are congruent
Statement 5: ΔABC ≅ ΔDEC
Reason 5: SAS congruency postulate
Coordinates please answer correctly I am counting on you!!! ❤️❤️❤️
Answer:
what is the first question i need to see the first question before giving you the answer
Step-by-step explanation:
or question 4
Which equation has the coordinate (0, 2) as a point on its graph?
Oy=x-2
Oy = x + 2
Oy=2
Oy = 2x
Answer:
0y=x+2
Step-by-step explanation:
The correct equation which has the coordinate (0, 2) as a point on its graph is,
⇒ y = x + 2
⇒ y = 2
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
the coordinate (0, 2) as a point on its graph.
Hence, The correct graph is satisfy the equation of line.
So, We can check as;
y = x - 2
2 = 0 - 2
2 ≠ - 2
y = x + 2
2 = 0 + 2
2 = 2
y = 2
2 = 2
y = 2x
y = 2 (0)
y = 0
Thus, The correct equation which has the coordinate (0, 2) as a point on its graph is,
⇒ y = x + 2
⇒ y = 2
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