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:
A company that cleans carpets charges its customers a fixed amount for supplies plus an
additional amount per hour of cleaning. The graph models the linear relationship between the
total amount charged and the number of hours of cleaning.
hi please help i’ll give brainliest
Answer:
The answer is B
Step-by-step explanation:
IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.
What is the volume of this square pyramid?
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
PLZZ HELP ME!!!
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Find the volume of this object.
Answer:
24 will be your answer.
Step-by-step explanation:
Find the volume of the cylinder in terms of x and to the nearest tenth
Answer:
12.57 in^3
Step-by-step explanation:
The easiest way to do this is to find the area of the circle surface and multiply it by the height
to find area the formula is pi r^2 and we are given the radius
so we plug in pi(2^2)=pi(4)= roughly 12.57
then we multiply the area by the height which is 1 so it would be the same
12.57(1)=12.57
Solve using substitution x=-6 6x+10y=14
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED
Answer:
Area of sector of circle = 7.6302 inches (Approx.)
Step-by-step explanation:
Given:
Angle of section = 35°
Radius of circle = 5 inch
Find:
Area of shaded section
Computation:
Area of shaded section = Area of sector of circle
Area of sector of circle = [θ/360][πr²]
Area of sector of circle = [35/360][(22/7)(5)²]
Area of sector of circle = [0.0972][(3.14)(25)]
Area of sector of circle = [0.0972][78.5]
Area of sector of circle = 7.6302 inches (Approx.)
Tatum walks her dog 2/3 mile every day after school. How many miles does she walk her dog in 5 days
The number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)
How to add two fractions?Let we have to add two fractions as:
[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]
Then we will find Lowest Common Multiple (LCM) of [tex]b_1[/tex] and [tex]b_2[/tex]. That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
For this case, we're given that:
Each day, Tatum walks her dog 2/3 milesFor 5 days, the total distance her dog walked = 2/3 + 2/3 + 2/3 + 2/3 + 2/3
Since denominators are same, thus:
[tex]\dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} + \dfrac{2}{3} = \dfrac{2+2+2+2+2}{3} = \dfrac{10}{3}[/tex]
We could've easily done it as: 2/3 + 2/3 + 2/3 + 2/3 + 2/3 = 5 times 2/3 = [tex]5 \times \dfrac{2}{3} = \dfrac{5 \times 2}{3} = \dfrac{10}{3}[/tex]
Thus, the number of miles that Tatutm walk her dog in 5 days is given by: Option B: 10/3 (in miles)
Learn more about fraction addition here:
https://brainly.com/question/17544795
Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold 1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.
Answer:
the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
Step-by-step explanation:
The computation of the cost of one cherry pie and the lemon meringue pie is shown below:
Let us assume the cherry pie be x
And, the lemon meringue pie be y
So according to the question
x + 5y = $69
5x + 7y = $129
Now multiply by 5 in the equation 1
5x + 25y = $345
5x + 7y = $129
18y = $216
y = $12
And, x would be
x + 5($12) = $69
x = $9
Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
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i only understand number 11
Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Answer:
Each piece of cloth is (1/12) of a yard long.
Step-by-step explanation:
Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.
To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.
This is:
length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]
This means that the length of each piece of cloth is (1/12) of a yard long.
Answer:
1/12 trust,
because yes. >3
2022 / 2023
Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?
Answer:
because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.
If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36
18
9
64
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = [tex]\frac{-36z}{x}[/tex] ← equation of variation
When x = 5 and z = - 5, then
y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36
Given the points A(4,6) and B(8, −2), what is the length of segment AB in units?
F √5
G 2√5
H 4√5
J 4
Answer:
Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]Y1 = 6[/tex]
[tex]Y2 = -2[/tex]
[tex]X1 = 4[/tex]
[tex]X2 = 8[/tex]
[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]
[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]
[tex]AB = \sqrt{16+64}[/tex]
[tex]AB = 4\sqrt{5}[/tex]
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For the right triangle shown, whih equation can be used to find the vaule of x
Answer:
The answer is b
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!
The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.
BD = AC and AB = CD
In triangles ΔBAD and ΔCDA, we have
BD = AC (Given)
AB = CD (Given)
AD = AD (Common side)
Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.
More about the triangle link is given below.
https://brainly.com/question/25813512
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A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?
Answer:
The butcher made $101.50
Step-by-step explanation:
2 for 7.00
1 steak would be 7.00 divided by 2
7 divided by 2 is 3.5
1 steak is 3.50 dollars
29 steaks in total
29 multiplied by 3.50 is 101.5
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?
Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?
Answer:
$262.5
Step-by-step explanation:
Given data
Commission earned= 7.5%
Sales for last week= $3,500
Let us find the amount of the commission
=7.5/100* 3500
=0.075*3500
=$262.5
Hence the commission earned last week is
$262.5
Find area triangle of 15 ft and 18 ft
The area of the triangle is. Ft2
Answer:
a= 135
Step-by-step explanation:
18*15=135
solve: log3(x)+log3(x-2)=log3(x+10)
log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )
log3 ( x )( x - 2 ) = log3( x + 10 )
log3 ( x^2 - 2x ) = log3( x + 10 )
x^2 - 2x = x + 10
x^2 - 3x - 10 = 0
( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2
The equation -x^2+4x-4=0 has no solutions
a. true
b. false
Answer:
true
Step-by-step explanation:
Let us calculate the determinant of this quadratic equation:
Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0
The equation has one solution
x = -b/2a = 2
Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?
PLEASE HELP I don't understand this stuff yet. Brainliest give away!
Answer: I think the answer is B
Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.
Answer:
c bc he should use the median cause it is in the affect the mean
Step-by-step explanation:
what is the order of the numbers from least to greatest?
-4, 9, 6, -8, -9
please help! whats the correct order
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
Answer:
-9, -8, -4, 6, 9
Step-by-step explanation:
negatives are less than positives,
What’s the length of a segment whose endpoints are (8,-6) and (-4,2)?
Answer:
Step-by-step explanation:
Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8. Use the Pythagorean Theorem to find the length of the hypotenuse:
length of hypotenuse = +√(8² + 12²) = √208 = 4√13 (Answer A)
Guided Practice
Write an equation of the direct variation that includes the point (–8, 10).
A.
y= −4/5x
B.
y= 5/4x
C.
y= −5/4x
Answer:
C.
y= −5/4x
Step-by-step explanation:
Write an equation of the direct variation that includes the given point. (-8, 10)
1
first divide y by x to find the constant
2
Then write the equation using that constant. The constant can be written as a fraction or a decimal.
RESULT
Find the surface area of each figure.
Answer:
1=21yds. 2.=16m 3.=16ft 4.=3cm
Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14
A. 18.84
B. 28.26
C. 91.06
D. 113.04
Answer:
B. 28.26
Step-by-step explanation:
459,450,441, find the 37th term
Answer:
135
Step-by-step explanation:
So, our first term is 459.
Lets find what our change in terms is. To do this, lets subtract the frist term by the second:
459-450
This will get you 9.
Now that we know our change per term, lets find our 37th term.
All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )
So this is what we can use to solve for this:
459-(9x37)
This equals
135.
Hope this helps!
Step-by-step explanation:
first term = a = 459
common difference = d = 450 - 459 = -9
nth term = an
n = -9
an = a + (n-1)d
= 459 +(37-1)-9
= 459 + (36)-9
= 459 -324
= 135
37 th term = 135
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