Answer: The volume of the cylinder is 640π cm³
Step-by-step explanation:
The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height
The formula of the volume of a cylinder is V = πr²h
Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume
∵ The surface area of a cylinder is 288π cm²
∵ Its radius is 8 cm
∵ SA = 2πrh + 2πr²
- Substitute the SA by 288π and r by 8 in the formula
∴ 288π = 2π(8)h + 2π(8)²
∴ 288π = 16πh + 128π
- Subtract 128π from both sides
∴ 160π = 16πh
- Divide both sides by 16π
∴ 10 = h
∴ The height of the cylinder is 10 cm
Now let us find the volume of the cylinder
∵ V = πr²h
- Substitute r by 8 and h by 10
∴ V = π(8)²(10)
∴ V = π(64)(10)
∴ V = 640π
The volume of the cylinder is 640π cm³
I need help with Kumon math level I 187 B
Answer:
attached is the answer :)
Step-by-step explanation:
The length of the tangent AB is [tex]\sqrt{2a^{2}+2b^{2} }[/tex] if the radii of the largest circle is a and the radii of the smallest one is b.
What is the tangent?It is a line that touches a single point on the circle.
How to determine the length of that tangent?Firstly we have to draw a perpendicular from O to the radii of the smallest circle. In this way AOLB becomes a rectangle. We let the point where the bisector intersect the radii as L.
OA=a
Lb=a also
O'L=b-a
In triangle OLO' we use pythagoras to calculate the value of OL which wil then equal to AB so,
OL=[tex]\sqrt{(b-a)^{2}+(a+b)^{2} }[/tex]
=[tex]\sqrt{2a^{2}+2b^{2} }[/tex]
It will be the length of AB also.
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Find the slope of the roofof a home that rises 8 feet for every horizontal change of 24 feet
A.-3
B.-1/3
C.1/3
D.3
Answer:
(C).
Step-by-step explanation:
[tex]\frac{8}{24}[/tex] = [tex]\frac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
8/24
=1/3
Tell me if it's wrong
Cleo buys 2/4 pounds of turkey. Tyler buys 1/2 pounds of turkey. Who buys more turkey? Pls explain.
Answer:
No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)
Step-by-step explanation:
If this helps pls mark me brainliest
Have a great day :)
Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?
Answer:
19
Step-by-step explanation:
While it's really easy to just divide, I'm sure your teacher wants an equation so:
1615=85x here x= skittle boxes
1615/85=x In this line you can use divide to cancel out the multiplication, giving you
x=19
Simplify: 5 -3 • 5 5
25 8
25 -15
5 -3
5 2
Gavin has a box of crayons. There are four purple crayons, three black crayons, three blue crayons, and two red crayons. What is the probability Gavin will draw a purple crayon put it on the table and then draw another purple
Answer:
4/12
Step-by-step explanation:
Help please! I’ll give brainliest!
Answer:
i think the answer is B
i am sorry if this is wrong
Step-by-step explanation:
Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?
Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.
1/4 es un decimal exacto
Answer:
0.25
Step-by-step explanation:
Decimal exacto
La parte decimal de un número decimal exacto está compuesta por una cantidad finita de términos.
Ejemplos:
15.125
0.1
3.0000001
Si en sus factores sólo aparecen 2, 5 o ambos, la fracción es decimal exacta.
W- 33 = 66 what is W
w is equal to 99 cause is u subtract 33 fro it it equals 66
Answer:
W = 99
Step-by-step explanation:
To solve W, you need to isolate W. Add 33 to both sides:
W-33=66
W=99
can you help me with it please
Answer:
[tex] \frac{20}{29}[/tex]
Step-by-step explanation:
Equation of unit circle is:
[tex] x^2 + y^2 = 1[/tex]
Plug [tex] y = \frac{-21}{29}[/tex] in above equation.
[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\
x^2 + \frac{441}{841} = 1\\\\
x^2 = 1-\frac{441}{841}\\\\
x^2 = \frac{841-441}{841}\\\\
x^2 = \frac{400}{841}\\\\
x =\pm\sqrt{ \frac{400}{841}}\\\\
x =\pm\frac{20}{29}\\\\
[/tex]
Since, point P is in the fourth quadrant.
Therefore, x - coordinate should be positive.
[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\
[/tex]
Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi from the bottom of the pole. Let x represent the height of the pole. Tell: how long is the rope and how high is the pole
Answer:
Height of the pole = 9.17 chi.
Length of the rope = 12.17 chi.
Step-by-step explanation:
Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.
So, the length of the rope= x + 3 chi.
Let AB represents the pole in the figure, and one end of the rope is at point A.
When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.
The length of the rope = AC.
\Rightarrow AC=x+3 chi.
Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.
So, BC=8 chi.
As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,
[tex]AC^2= AB^2+BC^2[/tex]
[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]
[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]
[tex]\Rightarrow 6x=64-9=55[/tex]
[tex]\Rightarrow x=55/6=9.17[/tex] chi.
Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,
and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.
classify the triangle based off of the measurements of its sides 30m, 30m
Answer:
i got it
its an isosceles triangle bc two sides are equal.
A(n) ______ shows relationships between things you are comparing.
Venn diagram
whole number
integer
Answer:
Venn Diagram
Step-by-step explanation:
Its a graph that's used in listing similarities and differences the other two aren't graphs but math terms
Write a polynomial function in factored form of least that the given zeros and a leading coefficient of 1.
1. -6, 3, 5
2. 2, -2, -6i
Write a polynomial function in standard form of least degree that have real coefficients, the given zeros, and a leading coefficient of 1.
3. -1, 1, 7
4. 3, -3, -2i
9514 1404 393
Answer:
p(x) = (x+6)(x-3)(x-5)p(x) = (x-2)(x+2)(x^2 +36)p(x) = x^3 -7x^2 -x +7p(x) = x^4 -5x^2 -36Step-by-step explanation:
Each root r gives rise to a binomial factor (x-r). Each complex root also has a conjugate root, so roots ±ri give rise to a binomial factor (x^2 +r^2).
__
1. p(x) = (x -(-6))(x -3)(x -5)
p(x) = (x+6)(x-3)(x-5)
__
2. p(x) = (x -2)(x -(-2))(x^2 +6^2)
p(x) = (x -2)(x +2)(x^2 +36)
__
If you want standard form, you can start with factored form, then multiply it out.
3. p(x) = (x -1)(x +1)(x -7) = (x^2 -1)(x -7) = (x^2 -1)x +(x^2 -1)(-7)
p(x) = x^3 -7x^2 -x +7
__
4. p(x) = (x -3)(x +3)(x^2 +2^2) = (x^2 -9)(x^2 +4)
p(x) = x^4 -5x^2 -36
25 miles/hour =_meters/minute
the cube_____of 27 is 3.
Answer:
3
Step-by-step explanation:
Answer:
the cube ROOT of 27 is 3.
Step-by-step explanation:
Is this relation a function?
Answer:
yes though i am not completely sure
Step-by-step explanation:
Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||
Answer:
YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters
Step-by-step explanation:
i took the test and got 5/5....this answer was correct
Find the product
(3x+4y)(x+y)
Answer:
Step-by-step explanation:
(3x+4y)(x+y)
Solution=3x^2+4xy+3xy+4y^2
=3x^2+7xy+4y^2
Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches
28 to 42 means 28/42
We now reduce 28/42 to lowest terms.
28 ÷ 7 = 4
42 ÷ 7 = 6
We now have 4/6.
We now reduce 4/6.
4 ÷ 2 = 2
6 ÷ 2 = 3
Final answer: 2/3
What is the value of the expression when x = 4 and y = 3?
3x² + 5y
A.27
B.38
C.63
D.159
Answer:
63
Step-by-step explanation:
3x^2+5y
Where X=4,Y=3
So
=3×4×4+5×3
=48+15
=63
So 63 is the answer
Answer:
C.63
Step-by-step explanation:
3x4²+5x3
4² = 16
3x16+5x3
Then
3x16 = 48
5x3 =15
48+15 equals 63
The answer is 63
Have a Good Day!!!!
Hcf 16 and 24 find ???
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
First Of All We Have Factorize These Two Numbers And Then We Will Find Their Highest Common Factor
16–2×2×2×2
24–2×2×2×3
So The Highest Common Factor is 8
That's Because Both Can be Divided by 8 and 8 is their Highest Common diviser.
Hope This Helps
A bike travels 24 miles in 3 hours. How many miles will the bike travel in 12 hours?
Answer:
72
Step-by-step explanation:
24 / 3 = 8
so
8*7 = 72
Answer:
72
Step-by-step explanation
24 / 3 = 8
so
8*7 = 72
Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h
Answer:
6.75 pounds
Step-by-step explanation:
This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.
[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]
In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.
* stands for multiplication
From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.
PLS answer fast!!!! I am literally in tears. Brainliest to the first person to answer it correctly
Answer:
-682
Step-by-step explanation:
I worked it out and got -682
if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3
Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Suppose a stock drops in value by 60% one week, then increases in value the next week by 75%. Is the value higher or lower than where it started
Answer:
Lower
Step-by-step explanation:
Use the number 100 to see how the value changes:
First, calculate the 60% drop:
100(0.4)
= 40
Then, calculate the 75% increase:
40(1.75)
= 70
So, since 70 is smaller than 100, the value is lower than where it started.
Does -3 and -2 make a right triangle
Answer:
There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse
HELPPPPPPPPP!!!
What is z/
W
0-4 + 16i
O 6 + 10i
O 7+11i
O 8+2i
The value of z/w is, (8 + 2i)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph is shown in figure.
And, The point z = (6 + 10i)
The point w = (1 + i)
Now,
We can find the value of z/w is,
⇒ z/w = (6 + 10i) / (1 + i)
= (6 + 10i) (1 - i) / (1 + i) (1 - i)
= (6 - 6i + 10i - 10i²) / (1 - i²)
= (6 + 4i + 10) / (1 + 1)
= (4i + 16) / 2
= (8 + 2i)
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