Step-by-step explanation:
v= 2×pi×r²×h=2119.5cm³
h=2119.5/(2×pi×r²) r=7.4cm
Answer:
12.32cm
Step-by-step explanation:
Volume of cylinder = πr²h
2119.5=π(7.4²)h
h=2119.5/54.76π
h=12.3202666868
h=12.32cm
0. Folded boxes a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 5 ft by 8 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides of length /. Find the volume of the largest open box that can be formed in this way.
Answer:
Box dimensions:
L = 3 ft
D = 6 ft
H = 1 ft
Volume V = 18 ft³
Step-by-step explanation:
a) Each side of the future box is
L = 5 - 2*x D = 8 - 2*x
height of the box is x
Then the volume of the box as function of x is:
V(x) = ( 5 - 2*x ) * ( 8 - 2*x ) * x
V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x
V(x) = 40*x - 26*x² + 4*x³
Tacking derivatives on both sides of the equation:
V´(x) = 40 - 52*x + 12x² or V´(x) = 20 - 26*x + 6*x²
If V´(x) = 0
6*x² - 26*x + 20 = 0
Solving for x
x₁,₂ = (-b ± √ b² - 4*a*c ] /2*a
x₁,₂ = ( 26 ± √ 676 - 480 ) / 12
x₁,₂ = (26 ± 14 )/ 12
x₁ = 1
x₂ = 3,33 ( we dismiss this solution since is not feasible according to cardboard dimensions )
Then the sides of the box are:
L = 5 -2*x L = 5 - 2*1 L = 3 ft
D = 8 - 2*x D = 8 - 2*1 D = 6 ft
H = x = 1 ft
And the volume is V = 6*3*1 = 18 ft³
Pleaseeee helpp which one is it and whyyyy!!!!
Answer:
answer is A
Step-by-step explanation:
Help me please !!!!!!!!!!!!!!
Find the area of the polygon to the nearest square inch.
Answer:
137 in.^2
Step-by-step explanation:
A = nsa/2
where
n = number of sides = 9
s = length of side = 4.7 in.
a = length of apothem = 6.5 in.
A = (9)(4.7 in.)(6.5 in.)/2
A = 137.475 in.^2
Answer: 137 in.^2
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
If the die is rolled 24 times, Find the experimental probability of rolling a 5. Simplify!
Answer:
gay
Step-by-step explanation:
I'm unsure how to solve for w, can someone please help?
Answer:
w = 1/2
Step-by-step explanation:
One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.
log b (a) = c
b^c = a
By plugging in the numbers we get this:
log 16 (4) = w
16^w = 4
w = 1/2
keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?
Answer:
7920
Step-by-step explanation:
Calculator
Emily has six black marbles, ten clear marbles, and four blue marbles in a bag. If she picks one
at random, what is the probability that she will pick a black marble?
Answer:
3/10
Step-by-step explanation:
ye I don’t so any of y’all got the answer?
john takes a small business loan
for $18,000. the term for
repayment is 60 months and
the annual interest rate is 5.25%.
using the monthly payment
formula, what is the estimated
monthly payment?
9514 1404 393
Answer:
$341.75
Step-by-step explanation:
You have not provided the formula, so we'll use one we like:
A = P(r/12)/(1 -(1 +r/12)^(-n)) . . . . principal P, annual rate r, n months
A = $18,000(0.0525/12)/(1 -(1 +0.0525/12)^-60) ≈ $341.75
The monthly payment is about $341.75.
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A
This equation shows how the money Kensington Middle School spends on workbooks is related to the total number of workbooks they buy.d = 64.6tThe variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. At most how many workbooks can Kensington Middle School buy if it has $64.60 to spend?
Answer:
1 workbook
Step-by-step explanation:
Equation:
d = 64.6t
Given:
d = total cost
t = number of workbooks
Work:
d = 64.6t
64.6 = 64.6t
t = 64.6/64.6
t = 1
Answer: 1 work book t=1
Step-by-step explanation:
Any help would be appreciated
Answer:
$8.25
Step-by-step explanation:
I don't know how to explain it to you but if I'm wrong tell me I'll try it aagain.
I’ll give points + brainslist, if you don’t know don’t bother answering (:
Find y.
Round to the nearest tenth:
у
270
350 ft
y = [? ]ft
Answer:
178.3
Step-by-step explanation:
Hello There!
We can find the value of y using trigonometry
These are the trigonometric ratios
Remember SOHCAHTOA
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
For the angle that has a measure of 27 degrees
we are given its adjacent angle and we need to find its opposite angle (y)
Adjacent and Opposite sides corresponds with the trigonometric ratio Tangent so we are going to use the trigonometric ratio tan to solve for y
Now we set up an equation (remember tangent = opposite over adjacent)
[tex]tan(27)=\frac{y}{350}[/tex]
Now that we have created an equation we want to solve for y
What we want to do is isolate the variable using inverse operations
So basically we want to get rid of the 350
The opposite of division is multiplication so we multiply each side by 350 to get rid of it
[tex]tan(27)*350=350tan(27)\\\frac{y}{350} *350=y\\y=350tan(27)\\350tan(27)=178.3339073\\[/tex]
so we can conclude that y = 178.3339073
finally we want to round to the nearest tenth and we get that the answer is 178.3
Please help, brainliest for correct answer
Answer:
V = 706.5 in³
Step-by-step explanation:
V = πr²h = 3.14(5²)9 = 706.5 in³
HELP ME PLS THANK YOU<333
Answer:
d
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
Find the value of x
Please help
Answer:
b
Step-by-step explanation:
subtract 9 from 16
Mikaela has saved $375 to purchase a new phone. This is of the total price of the phone. What is the price of the phone?
Answer:
$375
Step-by-step explanation:
If she has saved $375, and the price of the phone is also $375, then the price of the phone must be $375.
A cold water tap can fill a tub in 6 minutes, and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drai is open, how long will it take to fill the tub? It will take
how many minutes?
Answer:
12 minutes
Step-by-step explanation:
The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath
Help me please. I’m having trouble. NO SCAM LINKS.
9514 1404 393
Answer:
6. 4
7. 36
Step-by-step explanation:
The given conditions in each case allow you to conclude that the triangles are congruent. Corresponding parts of congruent triangles are congruent.
__
6. YX = YZ = 4
7. Angle XWY is congruent to angle ZWY, so is 18. Angle XWZ is the sum of those two angles, so ...
∠XWZ = ∠XWY +∠ZWY = 18 + 18
∠XWZ = 36
Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
Help please what is this?
What percent of the model is shaded green?
Answer:
1/5%
Step-by-step explanation:
The percentage of the model shaded green will be 20.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
The total number of the box in the figure is 100.
The total number of shaded green = 20
So,
[tex]\dfrac{20}{100} \times 100[/tex]
20%
Therefore, The percentage of the model shaded green will be 20.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
5+6(2x-1)
i need this like now pls
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20
Answer:
17
Step-by-step explanation:
[tex]\sqrt{x} = 4.1[/tex]
16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D
Find the least common multiple (LCM) for the pair of numbers 6 and 18
Answer:
the lcm is 6
Step-by-step explanation:
6 divided by 3 is 1
18 divided by 3 is 6
6 becomes 3 and 2
Answer:
18
Step-by-step explanation:
Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM
Guys please help i dont understand im bad at math
decide if the two statements are logically equivalent statements, negations or neither
Answer:
Negations.
Step-by-step explanation:
The first statement is:
p ∧ q
(p and q)
This statement is only true when:
p = true
and
q = true.
And is false in all the other cases.
The other statement is:
¬q ∨ ¬p
(not q or not p)
This statement is only true if at least one of the elements is true, this happens if:
q =false (then ¬q = true)
or
p = false (then ¬p = true)
Then the first statement needs p and q to be true.
The second statement needs at least one of these to be false.
This means that when the first statement is true, the second statement is false.
When the first statement is false, the second one is true.
Then the statements are negations.
