Answer:
A
Step-by-step explanation:
A
A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?
147,026.5 ft
135,716.8 ft
180,955.7 ft
169,646.0 ft
Answer:
The volume of the silo is approximately 147,026.6 ft.³.
The most correct option is 147,026.5 ft.³
Step-by-step explanation:
The given dimensions of the silo are;
The shape of the silo = Composite figure of tower and roof
The shape of the tower = Cylindrical
The shape of the roof = Cone
The radius of the base of the silo, 'r' = 30 feet
The height of the cone roof of the silo, h₁ = 12 feet
The height of the entire silo = 60 feet
For the cone roof, we have;
The volume of a cone, V = 1/3 × Base area × Height
The volume of the cone roof, V₁ = 1/3×π·r² × h₁
∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³
For the cylindrical tower, we have;
The height of the entire silo = The height of the tower + The height of the roof
∴ The height of the tower = The height of the entire silo - The height of the roof
The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.
The volume of a cylinder = Area of base × Height
The volume of the cylindrical tower, V₂ = π·r² × h₂
∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³
The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³
The volume of the (entire) silo, Vₙ = V₁ + V₂
∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³
The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.
Answer:
147,026.5 ft.³
Step-by-step explanation:
16. Which graph represents the solution to the following system of inequalities?
Answer:
D
Step-by-step explanation:
Someone, please help me quickly! The question is about probability and I don't remember how to do it since it's been a year... The question is in the picture.
Answer:
im pretty sure 50%
Step-by-step explanation:
(i'm so so so so sooo sorry if it's wrong)
Answer:
im positive its 75%
A faraway planet is populated by creatures called Mizjigs. All Mizjigs are
either black-footed or red-footed and either one-headed or two-headed.
Ragon, who lives on this planet, does a survey and finds that her colony of
650 contains 120 black-footed, one-headed Mizjigs; 200 red-footed, two-
headed Mizjigs, and 300 one-headed Mizjigs.
Answer:98
Step-by-step explanation:
Ap3x
Answer:
its 270, just for clarification.
Step-by-step explanation:
What is the slope of the line?
Answer:
slope = 3
Step-by-step explanation:
Up 3 over 1, on the grid so,
3/1 = 3
simply 7/4 squared
Answer:
0.4375
Step-by-step explanation:
A water spout is filling a large container with water. After 5 hours the container held 24L of water. After 8 hours the container held 30L of water. At this rate, how much water was in the container at 2 hours?
Answer:
Step-by-step explanation:
This is a direct proportionality. If a water spout is filling a large container with water, hence the time taken to fill the container is directly proportional to the volume v of water. MAthematically;
t = kV
If after 5 hours the container held 24L of water, then;
5 = 24k
k = 5/24
Also if after 8 hours the container held 30L of water
8 = 30k
k = 8/30
To get the rate of the container at 2 hrs
What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 ,4 ,6 ,-7 ,7, 10, 7,9
Answer:
The mean is 4 if im correct.
Answer:
4
Step-by-step explanation:
-4+4+6+-7+7+10+7+9=32
32/8=4
Which of the following expressions is equivalent to −56−13?Select all that apply.
Can anyone help me on this ixl ?
Answer:
imagine still doing IXL'S in 2021 but the answer should be 250
Step-by-step explanation:
Heather puts together 25 of a puzzle on Saturday and 310 on Sunday. Nicole has the same puzzle, and she puts together 45 of her puzzle. How much more of the puzzle does Nicole put together than Heather? A. 110 B. 310 C. 15 D. 45
Answer:
1/10
Step-by-step explanation:
Here is the correct answer
Heather puts together 2/5 of a puzzle on Saturday and 3/10 on Sunday. Nicole has the same puzzle, and she puts together 4/5 of her puzzle.How much more of the puzzle does Nicole put together than Heather? A. 1/10 b. 3/10 c. 1/5 d 4/5
total puzzle heather put together =
[tex]\frac{2}{5} + \frac{3}{10}[/tex]
[tex]\frac{4 + 3}{10}[/tex] = 7/10
the next step is to subtract 7/10 from the fraction Nicole put together
[tex]\frac{4}{5} - \frac{7}{10}[/tex]
[tex]\frac{8-7}{10}[/tex] = 1/10
-4x + 7y = 20 y= 3x + 15
Answer:
What’s the question
Step-by-step explanation:
7. After a discount of 30%, you pay $49.00 for a video game. What was the original price of the game?
Answer:
$70.00
Step-by-step explanation:
Percentage of original price paid
= 100% -30%
= 70%
70% of original price ----- $49.00
1% of original price ----- $49.00 ÷70= $0.70
100% of original price ----- $0.70 ×100= $70.00
100 Points Please Help
Compare and contrast a triangular prism and a triangular pyramid. In your response, include the shape and number of bases, and the shape and number of lateral faces.
Answer:
The Sample Response: Both figures have triangle-shaped bases. The prism has 2 bases, but the pyramid has only 1 base. Both figures have 3 lateral faces, but the lateral faces of the prism are rectangles, whereas the lateral faces of the pyramid are triangles. The sides of the pyramid meet at a point.
or
Or Other Response: The bases of both statues are triangle-shaped. The pyramid has only one base, but the prism has two. Both forms have three lateral faces, but the prism's lateral faces are rectangles, whilst the pyramid's lateral faces are triangles.
Step-by-step explanation:
I did this on edge
Miranda sold movie DVD’s for $12 and television DVD’s for $9 and has collected $1167 from the sales of both. The number of movies sold is 4 less than 3 times the number of television shows. How many movie DVD’s were sold, and how many television DVD’s were sold?
Answer:
number of be television be 27 and the number of movies would be 50
Step-by-step explanation:
The computation of the number of DVD sold and the number of television sold is shown below:
Let us assume the number of television be x
So, the number of movies would be (3x - 4)
Now according to the question the following equation is made
12(3x - 4) + 9x = $1167
36x - 48 + 9x = $1,167
45x = $1,215
x = 27
So, the number of be television be 27
And, the number of movies would be
= (3x - 4)
= 3(27) - 4
= 50
GIVING BRAINLIEST!!!!!!
Which shape has two pairs of parallel sides?
Answer:
the rectangle
Step-by-step explanation:
help no links or i will report and i will give the brainliest to the person who answers first
Answer:
45
Step-by-step explanation:
2.5 x 12= 30
1/2 (6) (3)= 9
1/2( 2) (6)=6
30 +9 +6 = 45
If S is the midpoint of RT, RS=5x+17, and ST=8x-31, find RS
Plz help asap with explanation and will get the brilliant
Answer:
No solution
Step-by-step explanation:
No possible values could add up to these values. If you solve the system of equations. You will get 0 = 10, meaning its impossible.
long division method
Answer: you didnt add a question or possible answer choices so nobody can answer this question
Step-by-step explanation:
Divide the ones column dividend by the divisor.
Multiply the divisor by the quotient in the right place column.
Subtract the product from the ones column.
Quadrilateral PQRS is a rectangle.
Find the measure of _PTQ.
Answer:
∠PTQ = 124°
Step-by-step explanation:
∠QPT = 90° - 62° = 28°
∠PQT = 28°
∠PTQ = 180° - 28° - 28° = 124°
From a distance of 1217 feet from a spotlight,the angle of elevation to a cloud base is 43 degrees. Find the height of the cloud base to the cloud base to the nearest foot
Answer:
1134.9 ft
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE
From, trigonometry,
Tan(X) = opposite/ adjacent
Distance from the spotlight = 1217 ft, which is the adjacent sides
Let the height of the cloud= X
, Which is the opposite sides
Then substitute, we have
Tan(43°)= X/1217
(0.9325)= X/1217
X= 0.9325×1217
= 1134.9 ft
Hence, the height of the cloud base to the cloud base to the nearest foot is 1134.9 ft
How many cubic feet are in one cubic yard?
3
9
27
Answer:
c
Step-by-step explanation:
27
Given the ratio 12:4,create three more ratios that are proportional to the given ratio. Explain your thinking and how you got your answer.
Hey guys... anybody got tips for this one?
Answer:
the answer is A i think
Step-by-step explanation:
Please help no links
Answer:
x=5 y=-6
Step-by-step explanation:
3x+y=9 ------eqn1
y=4-2x -------eqn2
using substitution
put y=4-2x into eqn1
3x+4-2x=9
x=5
put x=5 into eqn2
y=4-2(5)
y=4-10
y=-6
Fill in the blan
points
Given: ABCD is a parallelogram.
Prove: AABD ACDB.
A
D
Statements
Reasons
1. ABCD is a parallelogram.
1.
Given
2.4A 24C
2.
????
Answer:
Screenshot the answer choices I don't remember them right off rip
Step-by-step explanation:
please help me thanks
Answer:
5[tex]\frac{7}{8}[/tex]
Step-by-step explanation:
You subtract all those distances from 22 to calculate the remaining distance.
22-4[tex]\frac{3}{4}[/tex]= 17[tex]\frac{1}{4}[/tex]
17[tex]\frac{1}{4}[/tex]-5[tex]\frac{1}{8}[/tex]=12[tex]\frac{1}{8}[/tex]
12[tex]\frac{1}{8}[/tex]-0=12[tex]\frac{1}{8}[/tex]
12[tex]\frac{1}{8}[/tex]-6[tex]\frac{1}{4}[/tex]=5[tex]\frac{7}{8}[/tex]
So the answer is 5[tex]\frac{7}{8}[/tex]
(Yes I did these in my head)
Triangle DEF is translated five units up. If point D has coordinates (-3, -5) what are the coordinates of D'?
A.
(-3, 0)
B.
(2, -5)
C.
(-3, -10)
D.
(2, -10)
Answer:
A
Step-by-step explanation:
A translation of 5 units up means adding 5 to the y- coordinate
Then
D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A
Help me with this easy math question, please. I don't understand it, but it's said to be simple. Please and thank you in advance.
Answer:
$850.50
Step-by-step explanation:
Once you find the square footage of the triangle, that being 486 sq ft, you multiply by 1.75, the cost of the deck per sq ft, you get $850.50