Answer:
Equal volumes
Step-by-step explanation:
Given
[tex]h \to[/tex] height of cone
[tex]d \to[/tex] diameter of cone
[tex]H \to[/tex] height of cylinder
[tex]D \to[/tex] diameter of cylinder
Such that:
[tex]d = 2D[/tex]
[tex]h =\frac{3}{4}H[/tex]
Required
The relationship between the volumes
The volume of a cylinder is:
[tex]V_1 = \pi R^2H[/tex]
Where
[tex]R = 0.5D[/tex]
So:
[tex]V_1 = \pi (0.5D)^2H[/tex]
[tex]V_1 = \pi *0.25*D^2H[/tex]
[tex]V_1 = 0.25\pi D^2H[/tex]
The volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Where
[tex]r =0.5d[/tex]
[tex]r = 0.5 * 2D[/tex]
[tex]r = D[/tex]
and
[tex]h =\frac{3}{4}H[/tex]
So, we have:
[tex]V_2 = \frac{1}{3}\pi * D^2 * \frac{3}{4}H[/tex]
[tex]V_2 = \frac{1}{4}\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_2 = 0.25\pi D^2H[/tex]
So, we have:
[tex]V_1 = 0.25\pi D^2H[/tex]
[tex]V_2 = 0.25\pi * D^2H[/tex]
[tex]V_1 = V_2[/tex]
Answer: : When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.
Step-by-step explanation:
I AM GIVING OUT BRAINLIST
answer all those
Answer:
18.71 19 18.71
Step-by-step explanation:
ASAP!!!!!!!!!
SAT scores are normally distributed with a mean of
500 and a standard deviation of 60. Find the z-score
of an SAT score of 380.
Answer:
the z-score for the sat score of 380 is 2
Step-by-step explanation:
the way i got this is you got to take the standard deviation value and subtract it from the mean since the value 380 is less than 500.
500-60=440-60=380
so the answer would be a z-score of 2
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A. 356
Step-by-step explanation:
Answer:
Step-by-step explanation:
how r u in highschool and not know this-
anyways... its 356
Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]3\sqrt{3}[/tex] = a
Step-by-step explanation:
We can solve this in 2 ways, The easier way would be:
Tan(60) = a/3
=> Tan(60) * 3 = a
=> [tex]3\sqrt{3}[/tex] = a
Hope this helps!
How is an equation like an expression? How is it different?
Answer:
See explanation.
Step-by-step explanation:
An expression is a set of terms that are combined using addition, subtraction, multiplication, or division. The following are examples of expressions:
[tex]2x-1[/tex]
[tex]5y+8[/tex]
[tex]2[/tex]
Note: expressions do not equal anything.
In contrast, equations are expressions that equal at least one term. The following are examples of equations:
[tex]2y-4=26[/tex]
[tex]4x-4=0[/tex]
[tex]x=10[/tex]
[tex]y=x+2[/tex]
Note: equations do equal a term, as shown in the examples.
What is the perimeter of this red
polygon?
27 in
22 in
22 in
98 in
[ ? ] in
Answer:
Entire perimeter = 169in
Step-by-step explanation:
add all the inches up
The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.
Given the polygon with the measure of its exterior :
22 inches 98 inches 22 inches 27 inchesThe perimeter of the polygon is the sum of the exterior sides of the figure given :
98 + 22 + 22 + 27 = 169 inchesTherefore, the perimeter of the polygon is 169 inches .
Learn more on perimeter : https://brainly.com/question/19819849
#SPJ2
In order to add 1 ⁄ 4 and 2 ⁄ 5, the denominators have to be the same. This means multiplying both the numerator and denominator of each fraction by the opposite fraction's denominator.
1 ⁄ 4 + 2 ⁄ 5
( 1 ⁄ 4 × 5 ⁄ 5 ) + ( 2 ⁄ 5 × 4 ⁄ 4 )
(1 × 5)/(4 × 5) + (2 × 4)/(5 × 4)
5 ⁄ 20 + 8 ⁄ 20 = 13 ⁄ 20
1/3 + 3/8 =
Answer:
1/3 + 3/8 = 17/24
Step-by-step explanation:
LCD is 24
3*8 = 24
8*3 = 24
3/24 + 9/24 = 17/24
I need the correct answer please and thank you.
Answer:
1,156 I think that’s right
Step-by-step explanation:
jeffrey owes his friend $5 how much is jeffteys debt?
Answer:
$5
Step-by-step explanation:
Answer:
$5
Step-by-step explanation:
Which correctly describes a cross section of the square pyramid? Select three options. A square pyramid with 2 foot sides. A cross section parallel to the base is a square with side lengths of 2 ft. A cross section parallel to the base is a square with side lengths of less than 2 ft. A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid. A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid. A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Answer:
B,D,E
Step-by-step explanation:
Answer:
Thanks for The question the guy above his answer is correct thanks for looking I got 100% on the test
Step-by-step explanation:
I'll give BRAINLIEST PLEASE ANSWER
Answer:
C
D
Step-by-step explanation:
there's nothing to explain here. just basic
Answer: C
Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.
Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3
9514 1404 393
Answer:
maximum: +2
minimum: -8
Step-by-step explanation:
The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...
5(±1) -3 = -3±5 = +2, -8
The maximum of f(x) is +2; the minimum is -8.
Plz help meeeeee…. I need to pass this
- 7th Grade work -
Pls just say if it's a, b, c, or d.
Answer:
We first need to solve the inequality so,
3 > j/-3 - 7
+7 +7
10 > j/-3
x-3 x-3
-30 > j
D is your answer.
It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.
How much does the cost increase for each ton of sugar being transported?
What is the slope of the line ?
Answer:
it increases by 125 for each ton of sugar being transported
Step-by-step explanation:
750-875= 125
HELP WILL GIVE BRAINLIEST!!!!!
Write an inequality for the situation.
Karen has at least 7 dresses.
Answer:
At least 7 < She had 15
Can someone answer this
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 1 ]
f(b) = f(1) = 3 ← value of y when x = 1
f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1
average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]
Herbert has three lawn-mowing jobs. One lawn is shaped like a trapezoid,
one like a triangle, and one like a rectangle. The trapezoidal lawn has bases that are 90 feet and 126 feet and a height of 75 feet. The triangular lawn has a height of 80 feet and a base of 105 feet. The rectangular lawn has a length of 120 feet and width of 90 feet. If Herbert can cut a 160 ft × 70 ft lawn in 2 hours, how long will it take him to mow all three lawns?
Answer:
4.125 hours
Step-by-step explanation:
Trapezoid shaped lawn :
Bases : 90 ; 126 ; height = 90
Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height
Area of trapezium = 1/2(90 + 126) * 75
Area = 108 * 90 = 8100 feets
Triangular lawn :
Height = 80 feets ; Base = 105 feets
Area of triangle = 1/2 base * height
Area = 1/2 * 80 * 105 = 4200 feets
Rectangular lawn :
Length = 120 feets ; width = 90 feets
Area of rectangle = Length * width
Area = 120 * 90 = 10800 feet²
Area of all 3 lawns = (8100 + 4200 + 10800) = 23100
In 2 hours ; Herbert can now (160 * 70) = 11200 feets
23100 / 11200 = 2.0625
Tine required to mow all three lawns :
2 hours * 2.0625 = 4.125 hours
= 4 hours, 7 minutes, 30 seconds
Which function is represented by the graph below?
graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph
(5 points)
f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)
Find the perimeter of the right triangle. If necessary, round to the nearest tenth. a. 13 in. b. 169 in. c. 60 in. d. 30 in.
Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm
b. 30 cm
c. 60 cm
d. 34.5 cm
Answer:
d. 34.5 cm
Step-by-step explanation:
Applying
Perimeter of the right triangle (P) = a+b+c
P = a+b+c.................... Equation 1
But we can find the hyotenuse (a) using pythagoras theorem
a² = b²+c²
a = √(b²+c²)............... Equation 2
Substituting equation 2 into equation 1
P = √(b²+c²)+b+c................... Equation 3
From the diagram,
Given: b = 4 cm, c = 15 cm
Substitute these values into equation 2
P = √(4²+15²)+4+15
P = √(241)+4+15
P = 15.5+4+15
P = 34.5 cm
Hence the right answer is d. 34.5 cm
Question is in the screenshot...
Step-by-step explanation:
m L 1 = 130° (alternate interior angles)
m L 2 = 180°- m L 1 (supplementary)
= 180° - 130° = 50°
Vertical angles are supplementary
m<2
180-13050°m<1
180-50130°Will give brainlist!!
Answer:
D because if we see the graph the 6 grades has alot of variety, well more than the 8 grades
httpsWaldine ucho
Video Conferencing
Where
You Tube
C Clever Portal
celeration Academy
Tony's Electronics is marking down the price of a TV 23% from the original price of $175 Which expression can be
used to find the sale price.
O 175 +0.23(175)
O 23 +1.75(23)
O 175 -0.23(175)
23 - 1.75(23)
???what is this?????????
Answer: it’s C 175 - 0.23(175)
Step-by-step explanation:
Kirk went to a friend's house after dinner. He left his house at the time shown on the clock and returned home at 8:05 P.M. Part A How long was Kirk gone? ____ minutes Part B Explain how you found your answer.
Answer:
He was gone for 36 minutes
Step-by-step explanation:
Sorry if wrong
find the LCM 72 ,216, 270
Answer:
1080
Step-by-step explanation:
72 = 2 × 2 × 2 × 3 × 3
216 = 2 × 2 × 2 × 3 × 3 × 3
270 = 2 × 3 × 3 × 3 × 5
LCM(72, 216, 270)
= 2 × 2 × 2 × 3 × 3 × 3 × 5
= 1080
==========================================
Explanation:
Write out the prime factorization of each value. A factor tree may help.
72 = 2^3*3^2216 = 2^3*3^3270 = 2*3^2*5The unique primes that show up are: 2, 3, 5
For the prime factor 2, the highest exponent is 3. So 2^3 is a factor of the LCM.For the prime factor 3, the highest exponent is 3. So 3^3 is a factor of the LCM.For the prime factor 5, the highest exponent is 1. So 5^1 is a factor of the LCMThe LCM is 2^3*3^3*5^1 = 8*27*5 = 1080
If the ratio of baseballs to golf balls is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box
Answer:
45
Step-by-step explanation:
Ratio is 2 baseballs to 3 golf balls you have 30 baseballs.
2×15= 30
3x15= 45
What is the 8th term of the sequence 1, 3, 9, 27, 81,... .
9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
PLEASE HURRY!!!
NO LINKS OR FILES, JUST THE CORRECT ANSWER AND I WILL GIVE BRAINLIEST IF THERE ARE ANY LINKS I'LL REPORT YOUU
Answer:
so the 2 questions i see are surveys so... you have to answer them with truth on your own self
Step-by-step explanation:
Answer:
hi i am the person that you are talking to with all the comments give him brainliest
Step-by-step explanation:
5 dividido en 1.35.
Answer:
3.7
Step-by-step explanation:
What kind of triangle is this?
Answer:
Obtuse triangle.
Step-by-step explanation:
A obtuse triangle has one angle that is larger than 90 degrees. There is a angle with 95 degrees.