The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.
How to determine the circumference of the base of a silo
The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:
Volume
V = (π/3) · R² · h (1)
Circumference
s = 2π · R (2)
Where:
R - Radius of the base, in feeth - Height of the silo, in feetIf we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:
[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]
[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]
R ≈ 4.583 ft
s = 2π · (4.583 ft)
s ≈ 28.796 ft
The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]
RemarkThe statement is complete, complete form is introduced below:
A farmer plans to buid the small silo to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?
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Cyrus' tennis match lasted two and a half hours. Everett's tennis match lasted four and a half hours. How much longer did Everett’s match last?
Answer:
2 hours
Step-by-step explanation:
4.5 - 2.5 = 2
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Raegan mows two lawns, The first lawn is 5 meters long and 4 meters wide. The area of the second lawn is 2 times as big but has the same width as the first, what is the length of the second lawn
By solving a simple linear equation, we conclude that the length of the second lawn is 10 meters.
What is the length of the second lawn?We know that one of the lawns is 5 meters long and 4 meters wide, then its area is:
A = 4m*5m = 20m^2
The other is two times as big, so its area is 40m^2 and has the same width as the first one (4 meters), so if we define the length as L we can write:
40m^2 = 4m*L
Solving for L we get:
(40 m^2)/4m = L = 10m
The length is 10 meters.
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What is the answer to this?
Answer:
59.319
Step-by-step explanation:
V=a3=3.93≈59.319
There are ten balls in a bag. Three balls are black and seven balls are white. a One ball is chosen at random and then replaced. Then a second ball is chosen at random. Here are two events. D: the first ball is black S: the second ball is black Are D and S independent? Show your working.
Answer:
Given:
Total balls = 10Black balls = 3White balls = 7⇒ P(black ball) = 3/10 = 0.3
⇒ P(white ball) = 7/10 = 0.7
If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.
Let event D = first ball is black
Let event S = second ball is black
P(D) = 0.3
P(S) = 0.3 (since the first ball is replaced)
⇒ P(D ∩ S) = P(D) × P(S)
= 0.3 × 0.3
= 0.09
For Independent Events we know that: P(A ∩ B) = P(A) × P(B)
Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.
Determine the root of the equation by factoring 3x^2-x-4=0.
I have both of the roots solved, but when I verify it does not come out to a zero. Why is this?
Answer:
The roots you found should be [tex](3x-4)(x+1)=0[/tex], which shows that [tex]x = \frac{4}{3} \\ x=-1[/tex]
Step-by-step explanation:
You likely messed up when trying to one or both of the roots back into the equation.
Help me with this pls it’s due on Monday :)
Answer:
area of trapezium=1/2 h(length 1+length2)
1/2*5*(13+6)
1/2*5*19
Answer:
Area = 47.5cm^{2}
Step-by-step explanation:
Area = 1/2 (a+b) × height
Area = 1/2 (6 + 13) × 5
Area = 1/2 (19) × 5
Area = 47.5cm^{2}
simplify:
A. -9(-2)
B. -9(+6)
C. -9/-3
D. 9/-1
Answer:
A. 18
B. -3
C. 3
D. -9
Step-by-step explanation:
Simplify:
A. -9(-2) <== when multiplying two negatives, they make a positive
-9(-2) = 18
B. -9(+6)
-9(+6) = -3
C. -9/-3 <== when dividing two negatives, they make a positive
-9/-3 = 3
D. 9/-1 <== when dividing a # with a negative, it makes a negative
9/-1 = -9
Hope this helps!
Angle 1 and Angle 2 are complementary angles. The measure of Angle 1 is 66 degrees. The measure of Angle 2 is 2x degrees. Find the value of x.
Answer:
Step-by-step explanation:
Complementary angles add up to 90°
∠1 + ∠2 = 90°
66 + 2x = 90°
2x = 90° - 66°
2x = 24°
x = 24/2
x = 12°
∠2 = 2*12
∠2 = 24°
Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3
Answer:
r = ⅙
⅙ × ⅙ = 0.03
0.03 × 3 = 0.09
How do you calculate the diameter of a circle
Answer:
diameter is twice the radius ( when given)
A survey of 100 people in New York City, NY found that.
• The probability that they take the subway each day is 0.85
• The probability that they take a Taxi each day is 0.6
• The probability that take the subway and taxi each day is 0.55
If a person is selected at random, then determine the probability thay they take either the subway or a taxi each day.
Answer: 0.9
Step-by-step explanation:
[tex]\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$[/tex]
[tex]\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}[/tex]
A machine that assembels a car is an example of a
Answer:
Mechanical
Step-by-step explanation:
Those ttype of machines build epic cars
14.01 or 13 or 10 or 107 or 15 or 20 or 14
Answer:
14.01 and 107
Step-by-step explanation:
First let’s review what all the crodile mouths mean:
< = # is less than the # on the right
> = # is more than the # on the right
≤ = # less than or equal to # on the right
≥ = # is greater than or equal to # on right
Equation:
y ≥ 14
To make this true on the values that are greater than or equal to 14 can go.
This means that these values would be correct out of the options:
14.01
107
Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.
PLEASE HELP ME WITH THIS
Consider the incomplete paragraph proof.
Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN
Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P.
Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.
point M
point Q
segment PM
segment QM
Answer: point M
Step-by-step explanation:
Answer: point M
i took the test
Angle FGH is a right angle.
The measure of angle JGH is 50.
The measure of angle FGJ is
What is the value of x?
Answer:
since its a triangle then angles have to be 90 (the right angle) and 50 (which is given)
180-90-50 = 40
Answer = 40
Step-by-step explanation:
evaluate the expression when m=3 and n=8. 40/n-m=
Answer:
2
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
If n = 8 and m = 3, 8 - 3 = 5.
40 ÷ 5 = 8
Hope this helps
Which of the following is not a parallelogram? A. Square B. Rhombus C. Rectangle D. Right Triangle
simplify 1/2+3/4-2/7×(1/3+2)
Answer:
the answer is 7/12..
thank u
what is equivalent to 24x + 32y
Answer:
8*(3x-4y)
Step-by-step explanation:
Just did the test
The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.
What is the value of y?
у
60°
80°
Answer: 40
Step-by-step explanation:
The angles form a straight angle, so y = 180 - 80 - 60 = 40.
solve pls brainliest
Answer:
10
Step-by-step explanation:
[tex]\frac{-8}{1}[/tex] * [tex]\frac{-5}{4}[/tex]= [tex]\frac{40}{4}[/tex]= 10
Answer the question based on the graph
What is the Y-intercept?
What is the asymptote?
How many factors of 1000 can be divided by 20 without a remainder?
Answer: 6
Step-by-step explanation:
Fill in the missing numbers in the sequence: 0.1, 0.25, 0.4, __, 0.7 ?
Math-Convert the following units.Write your answer on a separate sheet of ppaper
1.230.000 sq cm=_____sq m
2.400 000 sq cm= ____ sq m
3.60 000 sq cm= ____ sq m
4.15 sq m=______sq cm
5.120 sq m=______ sq cm
6. 16 sq m = ______ sq cm
The conversion of area units results in:
230 000 cm²= 23 m²400 000 cm²= 40 m²60 000 cm²= 6 m²15 m²= 150 000 cm²120 m²= 1 200 000 cm²16 m² = 160 000 cm²Unit Conversions for Area
For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area, each unit is 100 times larger than the previous. See below the relationship between the meter and the other units
1km²=1 000 000 m²=[tex]10^6[/tex] m²
1 hm²= 10 000 m²= [tex]10^4[/tex] m²
1 dam²=100 m²= 10² m²
1 m² =1 m²= 1 m²
1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²
1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²
Now, you have the necessary information for converting the units.
230.000 sq cm=_____sq m[tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]
400.000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]
60000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]
15 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]
120 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]
16 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]
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Every time Martina orders Chinese food, she gets egg drop soup. So, she decides to learn how to make it herself. Her recipe calls for 8 cups of broth, but she can only find 32-fluid-ounce cartons at the store. How many cartons should she buy?
cartons
Answer:
2 cartons
Step-by-step explanation:
Hey! To start, we need to determine what we already know, Martine needs 8 cups worth of broth, but can only find 32-fluid ounce cartons.
Next, we need to find what we need to know, how many fluid ounces are in a cup? There are 8 fluid ounces in 1 cup!
Now, all we need to do is convert our cups to be able to find out how many cartons we need! So, to do this, we are going to multiply our number of cups by the number of fluid ounces in just 1 cup (so 8!).
8 cups x 8 fluid ounces (per 1 cup) = 64 fluid ounces
So! Martina needs 64 fluid ounces of broth to be able to create her recipe!
But, we aren't finished just yet, as we need to find how many cartons Martina needs! Like we did before, we know that there a 32 fluid ounces in 1 carton so if we have 64 fluid ounces in the recipe, all we need to do is divide 64 by 32 to find out how many cartons we need!
64 fluid ounces (8 cups worth) ÷ 32 fluid ounces (per carton) = 2 cartons
Melina needs to buy 2 cartons of broth to be able to complete her recipe.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What is the mean and median
of these data:2,5,9, 11, 19
Answer:
mean = 9.2
median = 9
Step-by-step explanation:
mean = sum of data / number of data
mean = 2 + 5 + 9 + 11 + 19 / 5
= 46 / 5
= 9.2
median = middle number
= 9
Liam buys three identical plastic
containers that are right rectangular
prisms. one face of each container
measures 4 and 1/2 in. by 2 in. the total
volume of the three containers is
135 in.. how many of these containers
can liam set on a shelf that is 24 in. long
with the 4and 1/2in-by-2 in. faces touching?
The number of rectangular prism container that would be set on the shelf is: 4.
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width ×height
Given the following:
Volume of three containers = 135 in.³Volume of each rectangular prism container = 135/3 = 45 in.³One face = width × height = 4.5 × 2 = 9 in.Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
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