Answer:
if i'm correct 20,000
Step-by-step explanation:
the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the answer in the form a√2 + b√3 where a and b are both integers.
The area of the cylinder is a function of its height (h) and radius, ([tex]\mathbf{4\sqrt 3}[/tex])
The exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]
The given parameters are:
[tex]\mathbf{Area =56\pi\sqrt 6}[/tex]
[tex]\mathbf{r=4\sqrt 3}[/tex]
The surface area of a cylinder is calculated as:
[tex]\mathbf{Area = 2\pi rh + 2\pi r^2}[/tex]
Substitute values for Area
[tex]\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}[/tex]
Divide through by pi
[tex]\mathbf{56\sqrt 6= 2 rh + 2r^2}[/tex]
Substitute value for r
[tex]\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}[/tex]
[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}[/tex]
[tex]\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}[/tex]
Collect like terms
[tex]\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}[/tex]
Make h the subject
[tex]\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}[/tex]
[tex]\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}[/tex]
Rationalize
[tex]\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}[/tex]
[tex]\mathbf{h = 7\sqrt 2- 4\sqrt 3}[/tex]
Hence, the exact value of h is: [tex]\mathbf{7\sqrt 2- 4\sqrt 3}[/tex]
Read more about surface areas t:
https://brainly.com/question/25131428
Please help! Will give brainliest if the answer is correct!
Answer:
74 + 43[tex]\sqrt{3}[/tex]
Step-by-step explanation:
For this problem, let's say side x is 2 + [tex]5\sqrt{3}[/tex] and side y is 7 + [tex]4\sqrt{3}[/tex].
To find the area of a rectangle, you need to multiply both height and width, and in this case, x and y.
(x)(y) = 14 + 8[tex]\sqrt{3}[/tex] + 35[tex]\sqrt{3}[/tex] + 60
= 74 + 43[tex]\sqrt{3}[/tex]
elect the correct answer from each drop-down menu.
Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a
.
Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a
.
Answer:
1. Triangle XYZ undergoes a translation.
2. Triangle X'Y'Z' undergoes a reflection across the x-axis
what is 100 divided by 5, (the answer) x 3 (the answer) x 79 (the answer) - 4
NO LINKS PLEASE! First to answer correct gets Branliest!!!
Answer:
4736
Step-by-step explanation:
1) 100 divided by 5 is 20
2) 20 times 3 is 60
3) 60 times 79 is 4740
4) 4740 subtract from 4 is 4736
5) Answer is 4736
Answer:
4736
Step-by-step explanation:
5*20 = 100
20*3 = 60
60*79 = 4740
4740 - 4 = 4736
Which best describes the association between variables x and y
S= 2LW + 2LH + 2WH
solve for W
Rewrite the equation as
2lw+2lh+2wh=a.2lw+2lh+2wh=a
Subtract
2lh
from both sides of the equation.
2lw+2wh=a−2lh
Factor
2w out of 2lw+2wh.
2w(|+h)=w−2lh
Divide each term by
2(l+h)
and simplify.
.w=a−2lh2(l+h)
I need help with this math problem
Answer:
F(x)=(x+6)^2
Step-by-step explanation:
Hope this helps!
Can someone please hurry and finish this question please!!!! Will give brainliest
Answer:
2b. R line is lower.
2c. It is lower because the y-intercept is negative.
Answer: ill take one for you john
Step-by-step explanation:
Simplify by using the product, quotient, and power rules
Answer:
3y^5
Step-by-step explanation:
Please do number 4!!!!!
Answer:
just put the 25 into the equation, and you get the M, as the money she earn
2.5(25) + 12 = 74.5 that is the amount she earns
Answer: 74.5
Step-by-step explanation:
M = money = ?
f = faces she paint = 25 faces
M = 2.50(f) + 12 —> ? = 2.50(25) + 12 = 74.5
What percent of the students in
applied majors are majoring in
electronics, industrial design, or civil engineering?
(( BRAINLISET QUEATION ))
The temperature of a room is -4 degree Celsius. The temperature of the heater is 16 degree Celsius. How many degrees more than room temperature is the heater?
Answer:
Step-by-step explanation:
Under steady state condition heat released to the room=heat dissipated out of the room Let θ be the temperature of heater Then
θ−20=α[20−(−20)] .(i)
and θ−10=α[10−(−40)] .(ii) Solving Eqs. (i) and (ii) we get
we get
θ=60∘C
x / 2.5 = 10
plz helppp
Answer:
x=25
Step-by-step explanation:
Click on the graph to draw a trapezoid with right angles at (0, -7) and (8,−7), another vertex at (8,0), and a vertical base of 16 units
Step-by-step explanation: It already tells you three of the coordinates. From plotting those, just create a vertical line from (0, -7) up that is equal to 16 and connect that coordinate with (8, 0).
Simplify the linear expression. −2x+3(−5x+1) Enter your answer in the box.
you will get brainiest
Answer:
3/17
Step-by-step explanation:
-2x + 3(-5x + 1)
-2x -15x +3
-17x + 3
17x = 3
x = 3/17
Solve the equation if 0°≤x≤360°*tan x =√3
Answer: This is a trig relationship from one of our special triangles, the 30-60-90 triangle.
Tan x = the opposite side of angle x divided by the adjacent side of angle x
The tangent is √3 when x = 60° or π/3
However, in this problem the value of the tangent is negative. In which of the four quadrants is the tangent function negative?
This function is negative in the second and fourth quadrants or when x = 120 and 300 degrees (or 2pi/3 and 5pi/3)
***I am assuming that the negative sign should be outside of the square root sign***
1728829+5363792002×82873992892/12=?
Answer:
Simplify the expression.
Exact Form:
111129715061983798933/3
Decimal Form:
3.70432383⋅10^19
Step-by-step explanation:
Answer:
exact form is 111129715061983798933/3
decimal form 3.70432383*10^19
Step-by-step explanation:
Who do you agree with? Explain why.
David states -15 divided by a negative integer will produce a positive quotient less than or equal to 15.
Lesly states -15 divided by a negative integer will produce a positive quotient greater than or equal to 15.
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
nothing yw listen to your teacher
Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 2
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
Consider the following game. The diamonds are taken out of a deck of cards, and are shuffled randomly. You pay $5 to pick one of the diamonds. If you pick the ace of diamonds, you win $20. If you pick the jack, queen, or king, you win $10. However, if you pick any other card, then you don't win any money. What is the expected value of this game? Is it in the player's favor to play this game? Why or why not?
Answer:
It is not in the players favor because there is a 4/13 chance that the player will win money. That"s not even 50%. So its up to the player if they want to take that risk but its a 0.3% chance that the player will win money.
Hope this helps :)
73,498 to the nearest thousand
Answer:
73,000
Step-by-step explanation:
if the hundred is smaller than 500, you round down, if it's larger then round up :)
HELppppppppppppppppp
9514 1404 393
Answer:
40 -8p -3w$4Step-by-step explanation:
Ms. Liu will have to pay 8p for p bags of popcorn, and 3w for w bottles of water. The amount she will have left will be these amounts subtracted from $40.
40 -8p -3w . . . . represents the money remaining
For p=3 and w=4, this evaluates to ...
40 -8(3) -3(4) = 40 -24 -12 = 4
Ms. Liu will have $4 left after her purchase.
how long does it take for 100 hens to lay 100 eggs if 5 hens are known to lay 5 eggs in 5 minutes?
Answer:
100 mins/ 1 hour 40 mins
Step-by-step explanation:
if 5 hens are known to lay 5 eggs then each hen lays 1 egg a minute
so multiply 1 by 100
and 100 time 1 equals 100
Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
ecuacion primer grado para hoy 7x+2=8x+5
Answer:
[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]
(ecuacion primer grado para hoy. ). what does this mean..
Answer:
7x+2=8x+5Recopilar términos semejantes
7x - 8x = 5 - 2-1x = 3x = 3/-1x = - 3/////////////////////////////////////////////////
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341please can someone answer all these
Answer:
what is it what math
Step-by-step explanation:
um what kind of math is this high school primary school
A fair die is rolled 10 times, what is the probability to get 4 ones.
Answer:
7/128
Step-by-step explanation:
the difference of two number is 6 if the greater one is 17 find the smallest number
Answer:
11
Step-by-step explanation:
17-6=11
big brain
Answer:
11
Step-by-step explanation:
17-11=6 the smallest number is 11