Answer:
For this question, we use the formula for the volume of a cylinder.
(formula for vol. of cylinder)
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and 'h' stands for the height.
We utilize the information that we know:
Radius = 6cmVolume = 904.78Which we then plug into our equation(volume of cylinder formula):
V = π[tex]r^{2}[/tex]h
904.78 = 3.14(6^2) · h
Next solve for the h(height).
904.78 = 3.14(36) · h
904.78 = 113.04 · h
904.78 = 113.04h
/113.04 /113.04
8.00406935598 = h, which we round to 8.
8 centimetres is the height of this cylinder.
5. Which of the following is a function?
A. (1,7), (2,14), (3, 21), (1, 28)
B. (0, A), (5, B), (10, C), (15, D), (5, E)
C. (-5,1),(-10,1),(-15, 1), (-20,1),(-15,1)
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)
Answer:
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)
Hope this helps!
Which is an equation of the line that passes through
the points (5, 2) and (10, -3)?
Answer:
y = -x + 7
Step-by-step explanation:
Hi there!
We are given the following points:
(5,2) and (10,-3)
We want to find the equation of the line that passes through these 2 points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).
First, let's find the slope of the line.
The slope can be calculated from 2 points using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=5\\y_1=2\\x_2=10\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-2}{10-5}[/tex]
Simplify
m=[tex]\frac{-5}{5}[/tex]
Divide
m=-1
The slope of the line is -1
We can substitute this value as m in y=mx+b.
Here's the equation of our line so far:
y=-x+b
Now we need to find b
As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b
Taking (5,2) for example:
Substitute 5 as x and 2 as y
2=-5+b
Add 5 to both sides
7=b
Substitute 7 as b in the equation
y = -x + 7
Hope this helps!
See more on this topic here: https://brainly.com/question/27166723
Tony was on the bumper cars at the amusement park. He turned his steering wheel 25 degrees to bump his friend. How many one-degree turns is this?
100 one-degree turns
50 one-degree turns
2.5 one-degree turns
25 one-degree turns
Answer:
25 one degree turns
Step-by-step explanation:
if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25
Answer:
25
Step-by-step explanation:
Solve the equation. Write the answer in terms of the natural logarithm.
e^(8x+9)=14
The Solution set is { }.
Type exact answer in simplified form.
Step-by-step explanation:
Take the natural logarithm of both sides;
8x+9 = ln (14)
Transposition;
8x= ln(14)-ln(e⁹)
[tex]x = \frac{ ln(14) - ln( {e}^{9} ) }{8} [/tex]
[tex]x = \frac{1}{8} ( ln(14) - 9)[/tex]
Amigranent
Practice with lines cut by a transversa
What is the value of x?
(2x - 5)°
Answer:
70
Step-by-step explanation:
Same side interior angles of parallel lines cut by a transversal are supplementary, so their measures have a sum of 180°.
2x - 5 + 45 = 180
2x + 40 = 180
2x = 140
x = 70
What is greater -3 pi or -9
Robbie factored the following expression incorrectly. Identify his mistake, then write a few sentences
explaining to him how to fix it.
Answer:
3(3r - 4)(3r + 4)
Step-by-step explanation:
I can't see the writing very clearly.
This is the correct solution:
27r^2 - 48 Divide through by 3:
= 3(9r^2 - 16) 9r^2- 16 is the difference of 2 squares so:
= 3(3r - 4)(3r + 4)
I need help on this ASAP.
The seattle great wheel is an illustration of sectors, arcs, circumference and area of circles
The circumference of the wheelThe diameter is given as:
d = 175 feet
The circumference (C) is calculated as:
C = πd
This gives
C = 3.14 * 175
C = 549.5 feet
Hence, the circumference of the wheel is 549.5 feet
The area of the wheelThis is calculated as:
A = π(d/2)^2
This gives
A = 3.14 * (175/2)^2
A = 24040.625
Hence, the area of the wheel is 24040.625 square feet
The central angle (degrees)This is calculated as:
θ = 360/n
Where n is the number of capsules
So, we have:
θ = 360/42
This gives
θ = 8.57 degrees
Hence, the central angle of the wheel in degrees is 8.57
The central angle (radians)This is calculated as:
Radians = Degrees × π/180
So, we have:
θ = 360/42 * π/180
This gives
θ = π/21 rad
Hence, the central angle of the wheel in radians is π/21 rad
Arc length between two capsulesThis is calculated as:
L = θ * d/2
So, we have:
L = π/21 * 175/2
This gives
L = 175π/42
Hence, the arc length between two capsules is 175π/42
Area of sector between two capsulesThis is calculated as:
A = 0.5 * (d/2)^2 * θ
So, we have:
A = 0.5 * (175/2)^2 * π/21
This gives
A = 168π
Hence, the area of sector between two capsules is 168π
Read more about sector areas and arc lengths at:
https://brainly.com/question/4115882
90 POINTS!! IM STUCK!!
2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
(a) What output does the rule give when the input is -6,0 ? Show your work.
(b) What output does the rule give when the input is 3, -4 ? Show your work.
(c) Is the rule a function? Explain why it is or why it is not
Answer:
(x-3,y+4) is the rule
a. -6, 0 input. This would equal (-6)-3 for x and (0)+4 for y. Answer: -9, 4
b. 3, -4 input. This would equal (3)-4 for x and (-4)+4 for y. Answer: -1, 0
c. The rule is a function because each input only has one output
Answer:
QuestionAlicia is writing the program for a video game. For one part of the game she uses the rule (x, y) → (x - 3,y + 4) to move points on the screen.
(a) What output does the rule give when the input is (-6, 0)?
Show your work.
(b) What output does the rule give when the input is (3, -4)?
Show your work.
(c) Is the rule a function? Explain why it is or why it is not.
Solution(a) Input (-6, 0) → Output (-6 - 3, 0 + 4) = (-9, 4)
(b) Input (3, -4) → Output (3 - 3, -4 + 4) = (0, 0)
(c) The rule is a one-to-one function as each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression
Answer:
3x +6
Step-by-step explanation:
The rectangle representing the product 3(x+2) will have dimensions 3 and (x+2). It can be divided into portions with areas 3·2 = 6, and 3·x = 3x.
An equivalent expression is ...
3x +6
help pls i'm not good at math
Answer: x = 56
Step-by-step explanation:
The two angles 'z' and 124 add up to form a straight line. The angle of a straight line is 180 degrees. Therefore, we can say that:
[tex]z+124=180[/tex]
Subtract 124 on both sides to isolate the angle 'z' to get:
[tex]z=56[/tex]
Answer:
z=56 degrees
Step-by-step explanation:
in total the line will equal 180 so just do 180-124 and you get 56.
Is this right? Please help me!!
Answer:
Yes
Step-by-step explanation:
There are two green regions and two red regions which makes four regions in total. If there is an equal probability to land on each region, it means that the probability to land on a green region is 2/4 because there are two green regions out of the four total regions. You could also simplify it to 1/2.
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. P (n, 3). Point Q is graphed at (n, 2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of n? Explain how you determined the distance from point P to point Q, and the value of n. Enter your answers and your explanations in the space provided.
Answer:
1
Step-by-step explanation:
have you smiled today? its very important:)
Read the paragraph below. Which would be the most helpful peer review comment to make about the writer’s style?
Wolves are a familiar animal in stories and movies. They are usually the bad animal. Some people think wolves are dangerous to people. But is this the truth? Wolves eat sheep and people don’t like that because they’re raising the sheep for themselves and some wolves can even take down cattle. Wolves make scary howls that can frighten people. But a sound can’t hurt you!
“You use the word “wolf” a lot. Can you find a more interesting way to say “wolf”?”
“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”
“I like your sentences about wolves, especially the ones where you describe how scary they are.”
“It would help me follow your ideas more easily if you broke up some of the longer sentences.”
Answer:
“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”
Step-by-step explanation:
The Perimeter of Rhombus WXYZ is 240 cm and XY = 5k + 10
What is the value of'k?
w
х
A +
(B) 9
(С 10
[7 7
(D2
E 16
Z
What is the value of H in the original equation?
Answer:
49
Step-by-step explanation:
We need the square root of H to equal 7, so we can just square 7 to get the answer. So 7x7 = 49.
There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile
Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile
According to the graph below, for how many miles will the charges from both taxi cab companies be equal?
1. 8
2. 1
3. 7
4. 4
Find the value of x.
103°
10x - 7)º
x = [?]°
Enter
Answer:
11º
Step-by-step explanation:
Because of vertical angles: 103=10x-7
103+7=10x
110=10x
x=11º
PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
The table shows some ordered pairs that belong to project function H what is the range of H
PLEASE HELP ASAP WILL MARK BRAINIST ONLY IF YOUR RIGHT THOO
Note down
If a pair be (x,y)
Then
x is domainy is rangeHere the pairs are
(-6,43)(-5,22)(-4,7)(-3,-2)(-2,-5)(-1,-2)Range:-
{-2,-5,-2,7,22,43}Which congruence theorem can be used to prove WXZ ≈ YZX?
O AAS
O ASA
O SAS
O HL
Answer:
AAS
Step-by-step explanation:
angle w=angle y
angle z=angle x
wz=xy
X-2/x+3+10x/x^2-9
Simplify the sum
Answer:
(x+2)/(x−3)
Step-by-step explanation:
((x-2)/(x+3))+((10x)/(x+3)(x-3))
((x-2)(x-3)+10x)/(x+3)(x+3)
Brainliest if you can please
Pls help math will give brainlest
Answer:
Rectangular prism)1344
Rectangular pyramid)138.53
Cylinder)326.73
Cone)400.21
Triangular prism) I don't know the answer because I can't tell what sides the length is for
A right triangle is shown
5
x
9.1
Enter the value of x. Round your answer to the nearest hundredth
Answer:
10.38
Step-by-step explanation:
The graph of y= (x^3) +6
is translated 4 units to the right.
The translated graph has equation y=f(x).
Work out f(x).
Give your answer in the form
x^3 + ax^2 + bx + c
where a, b and c are integers.
Answer:
[tex]y=x^3-12x^2+48x-58[/tex]
Step-by-step explanation:
Transformation Rules
[tex]f(x+a)=f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a)=f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
Given equation: [tex]y=x^3+6[/tex]
If the graph of the equation is translated 4 units to the right, then we replace [tex]x[/tex] with [tex](x-4)[/tex]:
[tex]\implies y=(x-4)^3+6[/tex]
[tex]\implies y=(x-4)(x-4)(x-4)+6[/tex]
[tex]\implies y=(x-4)(x^2-8x+16)+6[/tex]
[tex]\implies y=x^3-8x^2+16x-4x^2+32x-64+6[/tex]
[tex]\implies y=x^3-12x^2+48x-58[/tex]
Answer:
f(x) = x³ - 12x² + 48x + 58Step-by-step explanation:
Given
y = x³ + 6Translating 4 units right
x → x - 4f(x) = (x - 4)³ + 6f(x) = x³ - 3(x)²(4) + 3(x)(4)² - (4)³ + 6f(x) = x³ - 12x² + 48x - 64 + 6f(x) = x³ - 12x² + 48x + 58a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo.what is his gain
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
Cost price for each Orange :
[tex]\qquad \tt \dashrightarrow \: \dfrac{60}{200} [/tex]
[tex]\qquad \tt \dashrightarrow \:0.3 \: \: kobo[/tex]
Now, Cost price for 8 oranges :
[tex]\qquad \tt \dashrightarrow \:0.3 \times 8[/tex]
[tex]\qquad \tt \dashrightarrow \:2.4 \: \: kobo[/tex]
And we have been given that selling price for 8 oranges is 12 kobo.
Therefore, the gain is :
[tex]\qquad \tt \dashrightarrow \:12 - 2.4[/tex]
[tex]\qquad \tt \dashrightarrow \:9.6 \: \: kobo[/tex]
Percentage gain is ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{9.6}{2.4} \times 100[/tex]
[tex]\qquad \tt \dashrightarrow \:4 \times 100[/tex]
[tex]\qquad \tt \dashrightarrow \:400 \: \%[/tex]
Fractions of a revolution
It starts at 12 and turns through 1/3 of a revolution
Answer:
1/3 of twelve is 4 so four must be the answer
Step-by-step explanation:
he table shows the heights of students in a group.
Student Height (in inches)
A 45
B 48
C 49
D 40
E 53
What is the mean height of the students in the group?
47 inches
49 inches
51 inches
53 inches
Answer:
47 inches
Step-by-step explanation:
45 + 48 + 49 + 40 + 53 = 235
235/5 = 47
Help I know that I have to move 3x to 4x with will be -3x and then I will subtract it then I will be left with -x and then I'll be with -x -3 what do I do after ?
4x -3 = 3x
Answer:
[tex]\sf \boxed{\bold{x = 3}}[/tex]
Explanation:
4x -3 = 3xsubtract both sides by 4x
4x - 3 -4x = 3x - 4xgroup similar terms
4x - 4x - 3 = -xsimplify
-3 = -xdivide both sides by -1 or cancel out the negatives
x = 3Check:
4(3) -3 = 3(3)12 - 3 = 99 = 9L.H.S = R.H.S Thus x = 3 confirmed
Answer:
x = 3
Step-by-step explanation:
We are trying to move all terms that have x on one side of the equal sign and terms that do not have an x on the other side of equal sign.
terms with x = terms without x
4x -3 = 3x , subtract 3x from both side of the equation
4x -3x -3 = 3x -3x
4x -3x -3 = 0 , add 3 to both sides of the equation
4x -3x -3 + 3 = 0 + 3
4x -3x = 3 , combine like terms
x = 3
Or
We can think we move each term where we want it, yet keep in mind that once we cross the equal sign we change the sign of the term if addition or subtraction are the only operations involved.
4x -3 = 3x , 3x is positive so will become negative on the other side of the equal sign and -3 is negative so will become positive on the other side.
4x -3x = 3
x = 3
Find all angles, 0º < 0 < 360°, that satisfy the equation below, to the nearest 10th
of a degree.
2 tan^2(theta)+ tan(theta)= 0
[tex]2tan^2(\theta )+tan(\theta )=0\implies tan(\theta )[2tan(\theta )+1)]=0 \\\\[-0.35em] ~\dotfill\\\\ tan(\theta)=0\implies \theta=tan^{-1}(0)\implies \theta= \begin{cases} 0\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2tan(\theta)+1=0\implies 2tan(\theta)=-1\implies tan(\theta)=-\cfrac{1}{2} \\\\\\ \theta=tan^{-1}\left( -\cfrac{1}{2} \right)\implies \theta \approx \begin{cases} \stackrel{180^o~~ - ~~26.57}{153.43^o}\\ \stackrel{360~~ - ~~26.57}{333.43^o} \end{cases}[/tex]
for the second pair of angles, the angle of reference is really about 26.57°. Now, the tangent is only negative in two quadrants, the II and IV Quadrants, using the angle of reference, it'd give us those angles.
Make sure your calculator is in Degree mode.