a. Approximately, the farmer needs to order 25.13 gallons of paint to paint the exterior of the granary.
b. Approximately, the maximum amount of grain the structure can store is 2198.17π cubic meters.
a. To calculate the surface area of the exterior of the granary, we need to find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by:
Lateral Surface Area = 2πrh
where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the diameter of the granary is 10 meters, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 10m / 2 = 5m
Plugging in the values into the formula, we get:
Lateral Surface Area = 2π(5m)(28m) = 280π [tex]m^2[/tex]
Now, we can calculate the number of gallons of paint needed by dividing the surface area by the coverage of one gallon of paint:
Number of gallons of paint = Lateral Surface Area / Coverage per gallon
Number of gallons of paint = 280π [tex]m^2[/tex] / 35 [tex]m^2[/tex] = 8π gallons
Approximately, the farmer needs to order 25.13 gallons of paint to paint the exterior of the granary.
b. To determine the maximum amount of grain the structure can store, we need to calculate the volume of the cylinder. The formula for the volume of a cylinder is given by:
Volume = π[tex]r^2[/tex]h
where r is the radius of the base of the cylinder and h is the height of the cylinder.
Given that the diameter of the granary is 10 meters, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 10m / 2 = 5m
Plugging in the values into the formula, we get:
Volume = π(5m[tex])^2[/tex](28m) = 700π [tex]m^3[/tex]
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What is -4(x + 9) combine like terms
Answer:
-4x-36
Step-by-step explanation:
multiply -4 by x
multiply -4 by 9 and add each together
Answer:
-4x + -36
Step-by-step explanation:
This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.
-4 · x = -4x.
-4 · 9 = -36
Hope this helps!
sin^2A+cos^2A=? .find the value.
Answer:
1
Step-by-step explanation:
it is an identity. hope it helps
What is X=? // which choice is correct ? (Ignore my guessing choice mark)
Given:
A figure of a right angle triangle.
To find:
The length of the shorter leg.
Solution:
In a right angle triangle,
[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]
[tex]\sqrt{3}=\dfrac{18}{x}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
On further simplification, we get
[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]
[tex]x=6\sqrt{3}[/tex]
[tex]x=10.3923[/tex]
[tex]x\approx 10.4[/tex]
Therefore, the length of the shortest leg is 10.4 and the correct option is B.
COMBINATION
Solve each problem using the appropriate permutation formula.
1.In how many ways can 3 boys and 6 girls sit in a row of 4 chairs?
2.In how many ways can 8 cars line up a car?
3.In how many ways can a group of 8 friends sit around a circular table?
plss help
Answer:
1) 3024 ways
2) 40320 ways
3) 5040 ways
Step-by-step explanation:
1) there are 3 boys and 6 girls. Thus, total number = 9 people.
There are four rows of chairs.
Thus, number of ways of being sitted is;
9P4 = 9!/(9 - 4)! = 3024 ways
2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways
3) since circular arrangement, then number of ways is; (n - 1)!
Thus,answer is; (8 - 1)! = 5040 ways
Solve A = P(1 + rt) for t
Answer:
t = (A/p-1) r
Step-by-step explanation:
p = p (1+rt)
A/P = 1+rt
rt = A/P- 1
t = ( A/P- 1) r
Which of the linear solution has no solution?
Answer:
c
Step-by-step explanation:
it will eventually cancel
What is the volume of this rectangular prism?
1/4 cm,
1/2 cm,
1/3 cm
Reduce the fraction to its simplest terms.
i need help with this problem
Answer:
y = 3x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line
m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.
Answer:
Step-by-step explanation:
[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]
Rewrite the expression using the common denominator
Answer:
The answer is C
Step-by-step explanation:
Answer:
Its c
Step-by-step explanation:
got it right on edge
Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?
Answer:
a in the picture
Step-by-step explanation:
The end behaviour of the function is correctly represented by option 1.
What is the end behaviour of a function? What do you mean by domain and range of a function?The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.
Given is the following function polynomial as -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
The given polynomial is -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
Graph the function. It can be seen that the domain is limited from -
x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].
Hence, the end behaviour of the function is correctly represented by option 1.
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please help me out please
Answer:
Distance formula = √(x2 - x1)^2 + (y2 - y1)^2
Step-by-step explanation:
(-2, 6) to (3, -2)
3 + 2 = 5^2 = 25 + 64 = 89.
√89
There we go BRIANLIST
Answer:
B!
Step-by-step explanation:
Hope that helps!
Julie's brother says that instead of paying her the $40 he owes her, he will give her
$2 today and double the amount she has each day for 6 days. Should Julie accept
her brother's offer? Why or why not?
Answer:
Yes
2*2*2*2*2*2=64
so that is a much better deal than the original 40$
Step-by-step explanation:
what is the standard form of (-2/3)x - 4
( slope intercept )
Answer:
m=0,b for -2/3 x-4
Step-by-step explanation:
..........
Evaluate (49/64) ^1/2 write it as a fraction
Answer:
7/8
Step-by-step explanation:
Get rid of the ( )
put the 49/64 into a √ sq root and it cancels out the 1/2
49/64 whats the square root of 49? 7 Ss root of 64 is 8
7/8
numero de horas que duerme cual es la variable cualitativa?
Answer:
El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal
Step-by-step explanation:
can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!
Answer:
okay, so let's take an example problem:
y = x + 4 where "y" = 5
so first, you plug in 5 in "y"'s place like so:
5 = x + 4
then, you solve for "x"
5 - 4 = 1
so therfore:
x = 1
if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did sean awnser correctly?
A. 11%
B. 18%
C. 90%
D. 98%
Answer:
90%
Step-by-step explanation:
18/20 × 100 = 90%
I hope this helps!
Answer:
Sean answered 90% of the questions in the quiz correctly
oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ
Can you guys help me!!!
Answer:
I guess its the 3rd one not sure
The population P for a small island was 6 380 correct to the nearest 10. Complete the statement about the limits of P
Answer:
sorry I dont know
Step-by-step explanation:
I do not know
What is the slope of the line that passes through the points (-8,-6) and (-18,6)
Answer:
-6/5
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 6 - -6)/( -18 - -8)
= ( 6+6)/ (-18+8)
= 12/ -10
-6/5
Si un bloqie rueda sobre un plano rugoso tiene perdida de energia mecanica ficicamente esto quiere decir
Answer:
Step-by-step explanation:
Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.
Hi i need some help on this it will really help
Answer:
He can afford 5 large cheese pizzas.
Step-by-step explanation:
$40 ÷ $7.50 = 5.333333
You cannot buy 1/3 of a pizza, so you round the number to a whole number.
5.333333 ----> 5
5 large cheese pizzas
Answer:
Diego can afford 5 large cheese pizzas.
Step-by-step explanation:
$40 ÷ $7.50 = 5.3333
He cannot buy part of a pizza, so you round it to 5.
Find the value of x.
I will give brainliest if you get it right!, please double check your work! Thannks!
Answer:
36 degrees
Step-by-step explanation:
There's 180 degrees in a triangle.
Since they're supplementary angles, we do 180-142=38.
We now know that 106+38+x=180.
Solve for x: x=36
9. In a home economics class, 6 girls worked together and sewed a dress in 4 days. How long
would it have taken for 4 girls to make the same dress?
Answer:
6 days.
Step-by-step explanation:
Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:
X / 6 = 4
X = 4 x 6
X = 24
24/4 = 6
Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.
−2x+5=−25
x =
green what’s the answer
Answer:
x = 15
Step-by-step explanation:
-2x= -25-5
-2x=-30
x= 15
what is the value of x when 2^x-7*5^x-4=1250
Step-by-step explanation:
The correct answer is the photo
Type the expression that results from the following series of steps:
Start with
y
, subtract 7, divide by 3, then add 6.
Answer:
well, y - 7 divided by 3 + 6 = y + 11/3
Step-by-step explanation:
hope this helps! have a nice day!
Factor the GCF: 6x^2 + 3x + 9 *
Answer:
3(2x² + x + 3)
Step-by-step explanation:
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