The total volume of the silo is 116.6 m³.
What is a grain silo in this problem?It is a solid where a hemisphere is kept on top of a cylinder sharing common circular bases.
Diameter of the cylinder of the silo= 4.4m
So, the radius r of the cylinder will be = 2.2m
The radius r of hemisphere = 2.2m (same as cylinder due to common circular bases)
Height h of the cylinder = 6.2m
The total volume of the silo will be the combined volume of the cylinder and hemisphere.
The volume of cylinder = [tex]\pi r^{2} h[/tex]
The volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]
Total volume = [tex]\pi r^{2} h+ \frac{2}{3} \pi r^{3}[/tex]
total volume = [tex]\pi r^{2} (h+\frac{2}{3} r)[/tex]
Total volume = [tex]\pi *2.2^{2} (6.2+\frac{2}{3} *2.2)[/tex]
Total volume = 116.6 m³.
Therefore, the total volume of the silo is 116.6 m³.
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Answer:
116.6
Step-by-step explanation:
e2020
A bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilopascals. What will it be in 4 minutes?
If necessary, round your answer to the nearest tenth.
Answer:
4x10=40
It will lose 40% pressure after four minutes
It will lose 40% pressure after four minutes
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
We have been given that a bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilo-pascals. We are asked to find the tire pressure in 4 minutes.
We will use exponential decay formula to solve our given problem.
[tex]y = a(1\pm r)^m[/tex]
Let us convert 10% into decimal.
0.01
Initial value is 1,060 . Upon substituting our given values in above formula, we will get:
y = 1,060 (1 - 0.01)^4
Therefore, the tire pressure will be approximately 40% kilo-pascals in 4 minutes.
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2i ² * 3i
what is the answer???
Answer:
12i
Step-by-step explanation:
2i×2i=4i
4i×3i=12i
what is the mode of the following data: 52 bowls of spaghetti, 37 bowls of cereal, 14 sandwhiches, and 17 personal pizzas
The mode of the given data is equal to bowls of spaghetti.
Given the following data:
Bowls of spaghetti = 57.Bowls of cereal = 37.Quantity of sandwiches = 14.Personal pizzas = 17.What is mode?In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.
This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.
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Calculate the circumference and area of this circle.
Answer:
circumference 69.08 area 379.94
Step-by-step explanation:
jonah bought 3 packs of hotdogs
Step-by-step explanation:
[tex] \sqrt{a {}^{2} } + 24 - 4 = a [/tex]
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 25t – 16t2. If the ball was on a path to reach the net 1. 7 seconds after the shooter launches it, does the leaping player block the shot? yes, exactly 0. 6 seconds after the shot is launched yes, between 0. 64 seconds and 0. 65 seconds after the shot is launched yes, between 0. 84 seconds and 0. 85 seconds after the shot is launched no, shot not blocked.
The shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
what will be the time in which the blocker will block the ball?The given equation for ball height
[tex]=6+30t-16t^{2}[/tex]
The equation for the blocker's height will be
[tex]=9+25t-16t^{2}[/tex]
But, the shot is made before two-tenths of a second or 0.2 seconds therefore modified equation for ball height is
[tex]=6+30(t-0.2)-16(t-0.2)^{2}[/tex]
Now for the shot to be blocked, the height of the shot-blocker must be greater than the height of the ball which is shot before 0.2 seconds :
[tex]9+25t-16t^{2} \geq 6+30(t-0.2)-16(t-0.2)^{2}[/tex]
[tex]9+25t-16t^{2} \geq6+30t-6-16(t^{2} -0.4t+0.04)[/tex]
[tex]9+25t-16t^{2} \geq30t-16t^{2} -6.4t+0.64[/tex]
[tex]9+25t\geq36.4t-0.64[/tex]
[tex]9.64\geq11.4t[/tex]
[tex]t \leq \dfrac{9.64}{11.4}=0.846[/tex]
Thus the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
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Answer:
C
shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
Step-by-step explanation:
On edge
Aiko is finding the sum (4 5i) (–3 7i). She rewrites the sum as (–3 7)i (4 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?.
Answer:
Distribute Property
Step-by-step explanation:
In the first expression, 7 is the only coefficient of i in the second term, and 5 is the only coefficient of i in the first term. The rewritten sum would simplify to -3i +7i +4i+5i.
if A+B= 45° then prove that: tanA+ tanB+ tanA. tanB
Answer:
See Explanation
Step-by-step explanation:
[tex]A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved[/tex]
Simplify each algebraic expression by combining like terms.
2x + 5y + 6x - 5x + 3y
x2 + 2x + 3x2 + 4x - 2x2 + x
Answer:
2x^2+7x and 8y+3x
Step-by-step explanation:
Okay for the first one when you combine like terms you are adding the ones with the same terms so the ones that have X in it you add, the one with Y you add so it would be
2x+6x=8x ----> 8x-5x=3x
5y+3y=8y so
8y+3x
same thing for the other one so the answer is:
2x^2+7x
4.55 is what percent of 6.5? Enter your answer in the box.
Answer: 70%
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
Find the ‘exact’ perimeter of each triangle
Answer:
The missing degree is 60, but the perimeter is 11 cm.
I hope this is correct, if it's incorrect, I'm sorry
SIMPLIFY!!!!!!!! HELPPPPPP!!!!!
(10a^4b^6)(3a^5b^2) -7a^9b^8
Answer:
Step-by-step explanation:
then simplify
Cleo bought a computer for $1,495. What will it be worth after depreciating for 3 years at
a rate of 16% per year?
After 3 years of depreciation at a rate of 16% per year, the computer will be worth $886.93.
To determine the value of Cleo's computer after depreciating for 3 years at a rate of 16% per year, we need to calculate the depreciation amount for each year and subtract it from the original value.
First, let's calculate the depreciation for one year. The depreciation amount is obtained by multiplying the original value by the depreciation rate: $1,495 * 0.16 = $239.20.
After the first year, the value of the computer would be $1,495 - $239.20 = $1,255.80.
Now, we need to repeat this process for the next two years. For the second year, the depreciation amount would be $1,255.80 * 0.16 = $200.93. Subtracting this from the value after the first year gives us $1,055.87.
For the third year, the depreciation amount would be $1,055.87 * 0.16 = $168.94. Subtracting this from the value after the second year gives us $886.93.
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8x+4=4(2x+1)
Solve for X
Step by Step
Answer:
6x+5 that's the answer what I have
HELP!!! WILL MARK BRAINLIST!!!
Answer:
4 and 3/5
Step-by-step explanation:
Triangle has vertices D(1, 2), E(0, 4), and
F(1, –1). Find the coordinates of the triangle
after a dilation with a scale factor of 3.
Answer: D'(3, 6), E'(0, 12), F'(3, -3)
Step-by-step explanation:
please help i don’t understand
Answer:
D
Step-by-step explanation:
First of, let's make a table for y = cos(x)
(x , y): (0 , 1) (π/2 , 0) (π , -1) (3π/2 , 0) (2π , 1)
Now, making a table for y = 2cos(x) is simple. We just have to multiply all the y-values from the previous table by 2.
(x , y): (0 , 2) (π/2 , 0) (π , -2) (3π/2 , 0) (2π , 2)
Graphing these coordinates, we find that the answer is D.
What is the slope of the line that passes through the points (-9, -2) and (-9,-6 )? Write in simplest form
Hello.
There are really 2 ways to think about the given problem.
First, we can use the slope formula:
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{-6-(-2)}{-9-(-9)} =\frac{-6+2}{-9+9} =\frac{-4}{0} =[/tex]
Slope = undefined
The second way is to just take a look at the points.
You should notice that the x-coordinates are the same.'
If the x-coordinates are the same, then the slope is
[tex]\Large\boxed{Und.efined}}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
undefined
Step-by-step explanation:
the x-coordinates are the same look
PLEASE HELP WHOEVER HELPS WILL GET A COOKIE
A: The plane is going 525 miles per hour.
B: In 13 hours the plane will travel 6,825 miles.
Answer:
(a) [tex]\sf 450 \ miles \ per \ hour[/tex]
(b) 675 miles in [tex]\sf 1\frac{1}{2} \ hours[/tex]
explanation:
(a)
given time: [tex]\sf 4\frac{2}{3}[/tex]distance: 2,100unit rate:
[tex]\sf \dfrac{total \ distance}{total \ time}[/tex]
[tex]\sf \dfrac{2100}{\sf 4\frac{2}{3}}[/tex]
[tex]\sf \dfrac{2100}{\sf \dfrac{14}{3}}[/tex]
[tex]\sf 450 \ miles \ per \ hour[/tex]
(b)
distance: speed * time
distance: [tex]\sf 450 \\[/tex] * [tex]\sf 1\frac{1}{2}[/tex]
distance: 675 miles
3) Find BC С B 51° 27 390 A 15.0 O 17.0 17.5 18.5
Answer:
your answer is
180-(51+39)=
180 - 90=90°
BC =90°
Find the area and perimeter of a rectangle.
the length is x+6 the width is x+2
Answer:
Area = x² + 8x + 12Perimeter = 4x + 16Step-by-step explanation:
The area of a rectangle is given by the formula:
Area=width×height
The perimeter of a rectangle is given by the formula
Perimeter=2(width+height)
Area
(x + 6) × (x+2) =
x² + 2x + 6x + 12
x² + 8x + 12
------------------
Perimeter
2 × (x + 6 + x + 2) =
2 × (2x + 8) =
4x + 16
Determine if the sequence below is arithmetic or geometric and determine the common difference ratio in simplest form. 11,7,3
Quadrilateral ABCD is inscribed in this circle,
What is the measure of
Enter your answer in the box.
Giving right answer branleist
Answer:
The slope is 11/5 or 2.2, gimme that brainliest
Is 4/3 greater than 9/9
Hey there!
Is 4/3 greater than 9/9?”
Well…
4/3
= 4 ÷ 3
= 1.333333333333333
9/9
= 9 ÷ 9
= 1
4/3 > 9/9
Thus, your answer: YES 4/3 is GREATER THAN 9/9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Who are two of the people credited with inventing calculus?.
Answer: Isaac Newton and Gottfried Leibniz.
Explanation: Today it is generally believed that calculus was discovered independently in the late 17th century by two great mathematiciansIsaac Newton and Gottfried Leibniz
Which value of "b" will make the trinomial 4x^2 + bx + 36 a perfect square trinomial? 0 24 O 6 O 12 O 4
Answer:
48
Step-by-step explanation:
Reverse solve for a perfect Square
(b/2a)^2=36
(b/2(4))^2=36
(b/8)^2=36
b/8=6
b=48
48 makes the trinomial a perfect square trinomial.
What is the domain and range written in inequalities?
I believe the domain is all real numbers but I need the range.
Answer:
Range => y ≤ -2
Domain => All real numbers
Step-by-step explanation:
As it extends horizontally either way, domain can be any possible value.
Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.
Find an expression which represents the sum of (6x-4)(6x−4) and (-2x+5)(−2x+5) in simplest terms
Answer:
40x^2-68x+41
Step-by-step explanation:
Multiply both expressions
(-2x+5)^2= 4x^2-20x+25
(6x-4)^2=36x^2-48x+16
Then add
Use multiplication table if you have difficulty with multiplying
Ex
-2x 5
-2x 4x^2 -10x
5 -10x 25
Then add them all to get the full expression
Please help me I don't understand how to do it
Step-by-step explanation:
first, get a piece of tracing paper. then, place it on the grid and copy the shape and the point of rotation. then, place your pen on the point of rotation and rotate the paper 180°. then copy the shape to its new position on the grid. then move the shape 4 units left by counting 4 squares on each vertex and moving it. lastly, find the coordinates of point