A grain silo has a cone shaped spout on the
bottom in order to regulate the flow of grain
out of the silo. The diameter of the silo is 8
feet. The height of the cylindrical part of the
silo above the cone spout is 12 feet while the
height of the entire silo is 16 feet.
Helppp! -^-
I’ll mark as brainliest...
How many cubic feet of grain are held in the
cone spout of the silo? How many cubic feet
of grain can the entire silo hold?
Answers
In order to find out how many cubic feet of grain are held in the cone spout of the silo, we need to find out the volume of the cone spout of the silo.
We know that : Volume of a cone is given by = 1/3πr²h
Given : Diameter of the silo is 8 feet
As Radius is half the Diameter, Radius (r) = 4 feet
From the figure, we can notice that Height of the cone spout of the silo is given by subtracting Height of the cylindrical part of the silo from the Height of the entire silo.
⇒ Height of the cone spout of the silo = 16 - 12 = 4 ft
Substituting the values in the volume of the cone formula, we get :
⇒ Volume of the cone spout of the silo = 1/3 × π × 4² × 4
⇒ Volume of the cone spout of the silo = 67 ft³
⇒ Cone spout of the silo can hold 67 ft³ of grain
In order to find how many feet of grain can the entire silo can hold, we need to find the volume of the cylindrical part of the silo.
We know that : Volume of a cylinder is given by = πr²h
From the figure, we can notice that :
Radius (r) = 4 ft
Height (h) = 12 ft
⇒ Volume of the Cylindrical part of the silo = π × 4² × 12
⇒ Volume of the Cylindrical part of the silo = 603.2 ft³
We can notice that :
Volume of the Entire silo = Volume of the Cone spout + Volume of the Cylinder part
⇒ Volume of the Entire silo = 67 + 603.2 = 670.2 ft³
⇒ Entire silo can hold 670.2 ft³ of grain
Related Questions
Help find the volume of this equation
Answers
Always know the formula for volume prism because that shape is a prism.
Formula For PRISM: BH/2 x Height.
So then we are going to solve the triangle first... 7 x 22= 154/2= 77
Then multiply by the height which is 25.
77 x 25= 1,925.
So your answer should be 1,925 meters cubed. *Don't forget to write the measurement
*hope this helps
Answer:1925
Step-by-step explanation:
Please help me!!!
just ignore all the writing
Answers
Answer: 270 cm^2
Step-by-step explanation: Its just the 3 sides multiplied altogether
Please help me with this question!:))
Answers
Answer:
6
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the two lines mean absolute value. The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6
if that makes sense :)
Determine The Length Of the diagonal in the rectangle below
Answers
Answer:
It would be 25.
Step-by-step explanation:
By knowing that opposite sides of a rectangle are congruent, you can start by making a right triangle, with 7 and 24 as the legs.
Next, employ Pythagorean Theorem (a^2+b^2=c^2) to get the diagonal.
7^2+24^2=c^2
49+576=c^2
625=c^2
25 = c
It would be 25.
Find x in the following right triangles please help!! :D will award brainliest <3
Answers
Step-by-step explanation:
x²=13²-5²
x²=169-25
x²=144
√x²=√144
x=12dm
x²=24²+10²
x²=576+100
x²=676
√x²=√676
x=26in
please mark brainliest
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm). In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm. If the mean flow rate is found to meet the specification, the pump will be put into service.
1. State the appropriate null and alternate hypotheses.
2. Find the P-value.
3. Should the pump be put into service? Explain.
Answers
Answer:
1.
The null hypothesis is [tex]H_0: \mu = 4[/tex]
The alternate hypothesis is [tex]H_1: \mu > 4[/tex]
2.
The p-value of the test is of 0.0045.
3.
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
Step-by-step explanation:
A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).
At the null hypothesis, we test that the mean is 4, so:
[tex]H_0: \mu = 4[/tex]
At the alternate hypothesis, we test that the mean is more than 4, that is:
[tex]H_1: \mu > 4[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
4 is tested at the null hypothesis:
This means that [tex]\mu = 4[/tex]
In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.
This means that [tex]n = 8, X = 6.4, s = 1.9[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}[/tex]
[tex]t = 3.57[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.
With the help of a calculator, the p-value of the test is of 0.0045.
3. Should the pump be put into service?
The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.
At which approximate x-value are these two equations equal
y = √1 - x^2
y = 2x - 1
Answers
9514 1404 393
Answer:
x = 0.8
Step-by-step explanation:
If you mean y = √(1 -x²), then the curves cross at x=0.8.
__
If you equate the y-expressions, then square both sides, you have ...
√(1-x²) = 2x-1
1 - x² = (2x -1)² = 4x² -4x +1
0 = 5x² -4x . . . . . subtract the left-side expression
x(5x -4) = 0 ⇒ x = 0, or x = 4/5
The x=0 solution is extraneous.
The two equations are equal at x = 4/5.
Please hel p me. !!!!!!! I need the median.
Answers
Step 1 add all number together
Step 2 take the total number divided by 10
Thats you median
Either that or you arrange the number from small to big
Then the middle number 5 and 6 you add them together and divided by 2
In ascending order,
36, 43, 50, 51, 58, 59, 60, 69, 73
N=9
median (Q2)= N+1/2
or, Q2= 9+1/2
or, Q2= 10/2
= 5th item
Therefore, the median is 58.
I don't know if this is correct or not.
A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.
Required:
Find the expected number of keys she will try before she opens the door.
Answers
Answer:
The expected number of keys she will try before she opens the door is 4.5.
Step-by-step explanation:
A woman has eight keys on a key ring, one of which fits the door she wants to unlock.
Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].
Find the expected number of keys she will try before she opens the door.
The expected value of the uniform distribution is given by:
[tex]E = \frac{a + b}{2}[/tex]
Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:
[tex]E = \frac{1 + 8}{2} = 4.5[/tex]
The expected number of keys she will try before she opens the door is 4.5.
Can some one help me please? I really need some help with it.
Answers
Answer:
B. 273
Step-by-step explanation:
First we have to find the volume of the pencil box.
The volume formula for a rectangular prism is lwh (Length x width x height). Length (6 1/2) x Width (3 1/2) x Height (1 1/2) = 34.125 (Volume of the pencil box)
Next, we have to find the volume of the cube.
The volume formula of a cube is the same as the volume formula for a rectangular prism (lwh). However, a cube's side lengths are all the same. This means that the volume of the cube would be Length (.5) x Width (.5) x Height (.5) = .125
Last, we have to divide the volume of the pencil box by the volume of the cube.
34.125 / .125 = 273 or B.
the product of two numbers is 7623 if one number is 77 the other number is
Answers
Answer:
7623 divided by 77=99
99 x 77=7623
Step-by-step explanation:
The product of the two numbers = 7623
One of the number = 77
To find:-The other number.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{red}{Solution⤵}}}}}∘[/tex]
The other number is 99. ✅
Step-by-step explanation:Let the other number be [tex]x[/tex].
As per the condition,
[tex]x \times 77 = 7623 \\ ✒ \: x = \frac{7623}{77} \\ ✒ \: x = 99[/tex]
Hence, the two numbers are [tex]\sf\purple{77}[/tex] and [tex]\sf\pink{99}[/tex] respectively.
To verify:-
[tex]99 \times 77 = 7623 \\ ➪ \: 7623 = 7623[/tex]
➪ L. H. S = R. H. S.
Hence verified.
[tex]\large\colorbox{orange}{Happy\:learning.✌️}[/tex]
−3.5+2.5+(−0.25)+(−3.25)
Answers
Answer:
-4.5
Step-by-step explanation:
A triangular prism. The rectangular sides are 2 centimeters by 13 centimeters, 12 centimeters by 2 centimeters, and 5 centimeters by 2 centimeters. The 2 triangular sides have a base of 5 centimeters and height of 12 centimeters. Which equation could be used to find the surface area of the net of the triangular prism shown? SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2) SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2) SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)
Answers
Answer:
(C)SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
Step-by-step explanation:
egde
Answer:
C
Step-by-step explanation:
Please help this is due at 11/00 pm
Answers
Answer and Step-by-step explanation:
Each unit is equal to each other, and we know that both allowances together equates to 72, so if we divide the amount of units that there are, we can determine the amount per month.
There are 8 units in total.
72 divided by 8 = 9
Now, we do 9 times the amount each person has.
You = 5 * 9 = 45
Friend = 3 * 9 = 27
#teamtrees #PAW (Plant And Water)
HELP! Will give branliest!!
Answers
Answer:
10y + 29 ≤ -23
Step-by-step explanation:
subtract 29 from each side to get:
10y ≤ -52
y ≤ -5.2
What number goes into 12 20 and 16
Answers
Answer:
2
Step-by-step explanation:
Which is most likely the correlation coefficient for the
set of data shown?
Answers
Answer:
0.872
Step-by-step explanation:
The regression fits the data well leavubgbiut just one of the points, this shows there is a strong relationship between the plotted variables. Also, we have to look at the direction of the regression line which will give us an idea of the slope, hence the type of correlation between the two variables (either positive or negative relationship). In this case the slope is positive and hence the correlation Coefficient will be positive as well. Hence we can say there is a strong positive relationship between the variable. The only option which depicts this association is 0.872
A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the
highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.
Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.
Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour
Answers
Answer:
The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:
A. 0.5 hours
C. $1.25 per car
D. $3.05 per gallon
F. 35 miles per gallon
H. 54 miles per hour
Step-by-step explanation:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Distance travelled per gallon in the city = 27 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Joey's average speed using the city street route = 36 miles per hour
Number of hours to get to work using the city street route = 1 hour
Relevant data for highway driving total costs:
Cost of a gallon of gas = $3.05
Distance travelled per gallon on the highway = 35 miles
Joey's average speed using the highway = 54 miles per hour
Number of hours to get to work using the highway = 0.5 hours
Toll on the highway = $1.25
Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60
Answer:
A, B, D, F, H
Step-by-step explanation:
Geometry help!! Find x and y.
Answers
x= 45 degrees
y= 10.9sqrt2
Answer:D x=45° y=10.9√2
Step-by-step explanation:
In a right angle were two sides are equal, two remaining angles add up to 90. So it is 90/2 which is 45°
Y²=10.9²+10.9²
Y=15.41
Or y = 10.9√2
Please help i need the answer done step by step
Answers
Answer:
x = 40
Step-by-step explanation:
So a triangle is 180 degrees
and thats a right triangle = 90 degrees
you have three corners: 90, 50 & x
90 + 50 + x = 180
140 + x = 180
subtract 140 from both sides
x = 40
hope this helps
like this up !
Answer:
40 is the asnwer
Step-by-step explanation:
1. Well, first of all we know that all right angles add up to 180 degrees. The degrees shown in the picture are 50, and 90. You can’t see the 90 exactly, but you can tell by that little square, that’s how it shows us!
2. Second step, we add up 60 and 90 which is 140. We got that, now we can subtract this 140 to the 180 to get our answer!
3. 180 – 140 is equal to 40!
4. Therefore, the 3rd angle is 40!
5. Not confident with my ansawer? Proof time!
6. 40 + 50 + 90 = 180
7. Since this all adds up to 180, it is true!
Have a great day!
Find the volume.
h = 10 cm
rea
144 cm
Answers
Answer:
I'm not sure but I think it could be 1440cm³
Step-by-step explanation:
have a great rest of ur day
Give three solutions to the equation y = - 1/2x -2. Give your solutions as ordered pairs, using reduced fractions or integers for coordinates.
Answers
Answer:
To find solutions to an equation, we can choose any values for x, and then use the equation to find the value of y to make an ordered pair in the form (x,y). First, let's choose x = 1. y = 3(1) + 4 = 7 The ordered pair is (1,7) Let's choose x = 4. y = 3(4) + 4 = 16 The ordered pair is (4,16) Let's choose x = 11 y = 3(11) + 4 = 37 The ordered pair is (11,37) The three solutions we found are: (1,7) (4,16) (11,37) Note that we could choose any values for x that we like. In this case we chose x = 1, x = 4, and x = 11, but any values of x will work fine.
i hope this helps sorry if i am wrong
Step-by-step explanation:
The area of a right triangle is 49 square inches. The base is
twice as long as the height. The formula for the area of a
triangle is A = 1/2 bh, where b is the base and h is the height.
How long is the base and how tall is the height?
Answers
Answer:
height: 7 in
base: 14 in
Step-by-step explanation:
Let the height of the triangle equal x. This means that the base can be represented by the expression 2x. Now we plug these values into the area formula for a triangle:
A = bh / 2
49 = x * 2x / 2
And simplify
49 = x^2
We can find the square root of both sides to get x = 7, so the height is 7 inches. Since the base is twice the height, it is 14 inches.
Answer:
[tex]h=7,\\b=14[/tex]
Step-by-step explanation:
Since the base is twice as long as the height, set up the following proportion:
[tex]b=2h[/tex].
The area of the a right triangle is equal to [tex]A=\frac{1}{2}bh[/tex], where [tex]b[/tex] is a base of the triangle and [tex]h[/tex] is the respective height.
To solve for height, set up the equation (substituing [tex]b=2h[/tex]:
[tex]\frac{1}{2}\cdot2h\cdot h=49,\\2h^2=98,\\h^2=49,\\h=\boxed{7}[/tex]
To solve for base, substitute [tex]h=7[/tex] in the proportion [tex]b=2h[/tex]:
[tex]b=2(7),\\b=\boxed{14}[/tex]
In ΔPQR, p = 95 inches, q = 64 inches and ∠R=53°. Find the area of ΔPQR, to the nearest square inch.
Answers
c= 76
angle A= 85 deg
angle B= 42 deg
Answer:
2428
Step-by-step explanation:
Plzzz help me well mark brainliest if correct!!...
Answers
Answer:
c
Step-by-step explanation:
because I said so
Answer: C, Third grade girls
Step-by-step explanation:
The tallest bar graph indicates the most tickets sold, which is C
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 20000 and 35000 . Assume that a confidence interval estimate of the population mean annual starting salary is desired.
What is the planning value for the population standard deviation?
Answers
Answer:
The planning value for the population standard deviation is of 4330.
Step-by-step explanation:
Uniform probability distribution:
The uniform probability distribution has two bounds, a and b. The standard deviation is given by:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 20000 and 35000.
Uniform in this interval, so [tex]a = 20000, b = 35000[/tex]
What is the planning value for the population standard deviation?
[tex]S = \sqrt{\frac{(35000 - 20000)^2}{12}} = 4330[/tex]
The planning value for the population standard deviation is of 4330.
URGENT HELPP!!!NO LINKS
Answers
Answer:
25 I believe
Step-by-step explanation:
think has 5 letters
only using it once ofc
5×5= 25
What is the volume, in cubic m, of a rectangular prism with a height of 17m, a width of 14m, and a length of 11m?
Answers
Answer:
The answer is 2618m
Answer:
2618
Step-by-step explanation:
can someone help me please?
Answers
It’s B I think sorry if it’s wrong
66,66,70,88.........?,236
Answers
Answer:
I am so confused I don't know how to answer this.