Given:
Radius of a cylinder = 5 units.
Surface area of the cylinder = [tex]160\pi[/tex]
To find:
The height of the right cylinder.
Solution:
Surface area of a cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is radius and h is the height of the cylinder.
Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get
[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]
[tex]160\pi =10\pi h+2\pi (25)[/tex]
[tex]160\pi =10\pi h+50\pi [/tex]
Subtract [tex]50\pi[/tex] from both sides.
[tex]160\pi -50\pi=10\pi h [/tex]
[tex]110\pi=10\pi h [/tex]
Divide both sides by [tex]10\pi[/tex].
[tex]\dfrac{110\pi}{10\pi}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cylinder is 11 units.
Need help on this question on edge please
Answer:
D. (x+7 , y+4)
Step-by-step explanation:
x values increase by 7
y values increase by 4
Will mark brainliest!
Which of the following is the result of using the remainder theorem to fin F(-2) for the polynomial function F(x)=-2x^3+x^2+4x-3?
A. -23
B. 9
C. -11
D. 3
Answer:
B
Step-by-step explanation:
To find f(- 2) substitute x = - 2 into f(x)
f(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3
= - 2(- 8) + 4 - 8 - 3
= 16 + 4 - 8 - 3
= 9 → B
help please asap ASAP ASAP ASAP PLEADEEEEEEEEE
What index of y makes value1/ y^2?
Answer:
the index of y is -2
Step-by-step explanation:
[tex]y^{-2}[/tex]
=[tex]\frac{1}{y^2}[/tex]
What is the median of this data set? {22, 5, 9, 1, 7, 3) Enter your answer in the box median =
Answer:
7 is the answer to your question
The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an annual membership for $80. Members are able to buy tickets at a discounted rate of $20 each. Roger expects to attend 6 shows this year. Grace expects to attend 4 shows. Who would benefit from buying a membership this year?
neither Grace nor Roger
only Grace
only Roger
both Grace and Roger
Answer:
Roger
Step-by-step explanation:
Since he is attending more shows, he will benefit. He will save a net amount of $40
Answer:
roger
Step-by-step explanation:
PLEASE HELP!! this is due soon and i rlly need help
explanation = brainliest
The radius of a circle is 3 kilometers. What is the area of a sector bounded by a 90° arc?
give the exact answer in simplest form.
Answer:
Step-by-step explanation:
r = 3 km
Ф = 90°
Area of a sector = [tex]\frac{theta}{360}*\pi *r^{2}[/tex]
[tex]= \frac{90}{360}* 3.14 * 3 * 3\\\\= \frac{3.14*3*3}{4}\\[/tex]
= 7.065 sq.km
Answer:
Solution given:
r=3km
area of sector bounded by a 90° arc=90°/360°*πr²
=¼*π*3²
=9/4 π or 7.068km²
is a required answer
help please i don’t know the answer
Answer:
[tex]6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right][/tex] [tex]-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right][/tex] [tex]-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right][/tex]
[tex]=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right][/tex]
[tex]So,~ A ~is ~your~ answer~[/tex]
---------------------------
hope it helps..
have a great day!!
High population density can cause increased competition for resources such as food or shelter, while a low population density can cause issues with finding mates and diversification. The region with the highest population density is . The region with the lowest population density is .
Answer:
The region with the highest population density is Binky Lee
The region with the lowest population density is ChesLen
Step-by-step explanation:
The population density is the total number of people per unit of land area.
Population density = Total population / land area
Beer Creek = 12,624/3,412
= 3.6998827667057
Approximately, 3.7
Binky Lee = 462/112
= 4.125
Approximately, 4.1
ChesLen = 3,537/1,263
= 2.8004750593824
Approximately, 2.8
Crow's nest = 2,142/612
= 3.5
The region with the highest population density is Binky Lee
The region with the lowest population density is ChesLen
Answer:
1. Binky lee
2. Cheslen
Step-by-step explanation:
If f(x) = x3 + 5, then what is the remainder when f(x) is divided by x + 3?
==========================================================
Explanation:
You could use synthetic division or polynomial long division to find the answer, but a much quicker way is to apply the remainder theorem.
That theorem says that if we divide p(x) over (x-k), then the remainder is p(k).
We're dividing over x+3, or x-(-3), so we can see that k = -3 in this case.
Plug this into the function
f(x) = x^3+5
f(-3) = (-3)^3 + 5
f(-3) = -27 + 5
f(-3) = -22 is the remainder
------------
If you want to use polynomial long division or synthetic division, then check out the diagram below.
A watch was purchased for Rs. 150 and sold for Rs.300. Find the profit percent.
a.150%
b.50%
c.100%
d.15%
Answer:
c. 100%
Step-by-step explanation:
profit or loss = (sale price - purchase price)/(purchase price) * 100%
profit or loss = (Rs. 300 - Rs. 150)/(Rs. 150) * 100%
profit or loss = (Rs. 150)/(Rs. 150) * 100%
profit or loss = 1 * 100% = 100%
Since the result is positive it is a profit.
Answer: The profit was 100%.
Alexander has a square-shaped basket of apples. The
basket covers the area of 36 feet^2
. Find the length of any
side of the basket?
Answer:
6 ft
Step-by-step explanation:
Side = √area = √36 = 6 ft (we have to find a positive number that multiply by itself gives 36
Sasha and Donnel run separate lawn care business. Sasha's charge is represented by
the curve and Donnel's is represented by the line. Sasha charges $1 per meter
square of lawn, and Donnel charges $1 per perimeter side.
Choose the appropriate equation for Sasha and Donnel respectively:
Oy= 4.rº, y
y = 0
Oy= 42, y=
22
Oy= 2², y = 42
Oy= x, y= 42
24. A car costs $21,435. Each year the car depreciates (decreases in value) by 8%. How much will
the car be worth after 10 years?
Answer:
Step-by-step explanation:
vtrtv
Bab needs help with mafs
Answer:
Step-by-step explanation:
line HI
PLEASE HELP ME 50 PTS and i'll give brainliest please help me this is the video they game me to do this hw but I still don't understand it https://youtu.be/7Uos1ED3KHI
1.) 70x/100x^2 = 7/10x
2.) 16x^3/24x = 2x^2/3
3.) 7x(2x+1)/21(2x+1) = x/3
4.) 35x - 35/x^2 - 1 = 35/x + 1
5.) x + 7/x^2 + 4x - 21 = 1/x - 3
6.) x^2 - 6x + 5 = x - 5/5
7.) x^2 - 36/x^2 - 3x - 18 = x + 6/x + 3
8.) x^2 - 3x - 10/x^2 + x - 2 = x - 5/x - 1
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
What are the x- and y- intercepts for the graph of 5x-2y= 20
Answer:
x intercept: 4 y intercept: -10
Step-by-step explanation:
Use desmos graphing calculator :)
What is the solution to the inequality |X-4 <3?
Answer:
x<7
therefore {x:x<7}
Step-by-step explanation:
x-4<3
x<3+4
x<7
In a right triangle, one angle measures x°, where sin xº 4/5
What is cos(90° - xº)?
==========================================================
Rule:
if A+B = 90, then cos(A) = sin(B) and sin(A) = cos(B)
This can be rephrased into cos(A) = sin(90-A) and sin(A) = cos(90-A)
We'll focus on the second case sin(A) = cos(90-A)
Simply replace A with x and we have the same idea.
---------
So,
sin(x) = cos(90-x)
cos(90-x) = sin(x)
cos(90-x) = 4/5
You can prove this by drawing out a right triangle as shown below.
At What values of X, does FX equals zero?
Answer:
the value at which f(x)=0 are the zeros of the function f(x). The graph of such a function will crosses x-axis at that point and the point is (x,0).
Step-by-step explanation:
1/2x+1/3y=7
1/4x+2/3y= 6
What is the solution of the system shown?
Please help
Linear Pairs of Angles
Use the value of x to find the
measure of Angle 1.
X = 25
Z1 = [?]° Z2 = [ 1°
5x - 5 2x + 10
22=0
Answer:
5x-5
This equal : 120
2x+10
the second is 60
A polynomial consisting of only one term is called a
Answer:
answer
maybe monomial ...
Answer:
That would be a monomial.
Step-by-step explanation:
Hope this helped!
Find the aw tire area and show work
(Need Answer!)
If the slope of the line that joins the point (1,4) and (k, 10) is 1, what is the value of k?
Answer:
k = 7
Step-by-step explanation:
Applying,
S = (y₂-y₁)/(x₂-x₁)................ Equation 1
Where S = slope of the line.
From the question,
Given: y₂ = 10, y₁ = 4, x₂ = k, x₁ = 1, S = 1
Substitute these values into equation 1
1 = (10-4)/(k-1)
crossmultiplying,
(k-1) = (10-4)
k-1 = 6
k = 6+1
k = 7
The equation of a circle is (x+8)2+(y-5)2=14. What are the coordinates of the center of the circle?
Answer:
(-8,5)
Step-by-step explanation:
The standard form of the equation of a circle is expressed as;
(x-a)^2+(y-b)^2 = r^2 where;
(a, b) is the centre
r is the radius
Given the equation (x+8)^2+(y-5)^2=14.
Compare the two expressions
-a = +8
a = -8
Similarly;
-b = -5
b = 5
Hence the centre of the circle is at (-8,5)
the angle of elevation of the top of an elevator pole to a man standing 10m from it is 60°. find the height of the pole
Answer:
10√3m
Step-by-step explanation:
Given :-
Angle of elevation = 60° Distance between man and pole = 60°We need to find the height of the pole . We are given here base. Therefore using ratio of tan ,
=> tan 60° = p/b
=> √3 = h / 10 m
=> h = 10 m× √3
=> h = 10√3 m
Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Y=5/1 -2
Step-by-step explanation:
I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2
PLEASE HELP! THANKS
EXPLANATION = BRAINLIEST
the straight line distance between points is ___ units