Answers
Answer:
arc length = 84.82 cm
Step-by-step explanation:
arc length = 36 * 3π/4
arc length = 3π * 9
arc length = 84.82 cm
Hope this helps!
Related Questions
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is the volume increasing when the radius of the base is 3 ft and is increasing at a rate of 3 in/min
Answers
Answer:
The volume is increasing at a rate of 16286 in³/min.
Step-by-step explanation:
a) The volume of a cone is given by:
[tex] V = \frac{1}{3}h\pi r^{2} [/tex]
Where:
r: is the radius
h: is the height
The rate of change of the volume can be calculated by using the chain rule:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]
Since h = 4/3 r we have:
[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex] (1)
With:
[tex]\frac{dr}{dt}[/tex] = 3 in/min
[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]
And by entering the above values into equation (1) we have:
[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]
[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]
Therefore, the volume is increasing at a rate of 16286 in³/min.
I hope it helps you!
D is 12.5% if you were wondering I really need help
Answers
Answer:
b 15% light green is the correct answer
Answer:
D - 12.5%
Step-by-step explanation:
Please mark me brainliest
Amy can ride her bike 4 miles in 30 minutes. At her current rate, what is the difference, in miles, Amy can ride her bike in 12 minutes?
Answers
Cheyenne's car is in the shop, so she needs to rent a car for 4 days. The cost of a rental car is $24.99 per day, and she will be charged $0.18 per mile for every mile she drives over 200 miles. If she drives 300 miles and the sales tax she pays on the rental is 5.5%, how much will she pay for this rental?
1) Find the cost to rent the car for 4 days.
2) How many miles did Cheyenne drive over 200 miles? Remember to look at the difference between the total miles driven and the miles over 200.
3) Find the cost for miles over 200.
4) Find the total cost including the cost to rent and the cost for miles.
5) Find the total with tax. The multiplier is 1.055
A.
$124.45
B.
$117.96
C.
$130.94
D.
$99.96
Answers
Father
Step-by-step explanation:
Hhhh
Please help my last point and I’m confused show your work please
Answers
Answer:
A, C, F
Step-by-step explanation:
A = C
75 = 75 because X = 16
180 - 75 so D and B is 105
Given A(0.2), B(5,5), and C(7, 2). Reflect AABC over the x-axis.
Give the coordinates of the vertices of the image.
A) A'(0.2) B(-5,5) C'(-7, 2)
B) A'(-2, ) B'(-5.5) C'(-2,7)
C) A'(0, -2) B'(5,-5) C'(7,-2)
D) A (2.0) B*(5,5) C'(2.7)
E) NOTA
Answers
what does the y equal in the system of equations y= 2x-7 and 5x+2=4
Answers
Answer:
y = -31/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 7
5x + 2 = 4
Step 2: Solve for x
Define equation: 5x + 2 = 4Subtract 2 on both sides; 5x = 2Divide 5 on both sides: x = 2/5Step 3: Solve for y
Define equation: y = 2x - 7Substitute in x: y = 2(2/5) - 7Multiply: y = 4/5 - 7Subtract: y = -31/5type the equation of a line that has the following properties.
contains the points (-3,5) and (-1,6)
Answers
Answer:
y=1/2x + 13/2
Help I’ll mark brainliest
Answers
Answer:
ACD
Step-by-step explanation:
What expression is equal to -8(4y)
Answers
Answer:
32y
Step-by-step explanation:
take off the y then do the equation -8×4=32 then put the y back on an theres your answer
this is the question
Answers
Hey there!
The answers to your question are C, D, and E
If there are repeats in the X column, then it's not a function. If there are no repeats, then it is! If there are repeats in the Y column, that's ok, but there cannot be repeats in the X column.
Hope this helps! If you need any other help, just tell me!
ayooo can somebody help me with my sister's homework?
Answers
Answer:
D. y = 1/2x + 3
Step-by-step explanation:
y = mx + b
m = slope
b = the y-intercept
To find the slope we can do rise over run or y/x
r/r = 1/2
The slope is 1/2
To find the y-intercept, is where the line hits the y axis which is at.....
3
So...
y = 1/2x + 3
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
D
Step-by-step explanation:
the answer is D because the line starts and three and rises 1 and over 2. its not negative because the line goes up
Point G has coordinates (-4,7) and point H has coordinates (3,0)
Answers
Answer:
there is no answer to that
Step-by-step explanation:
what do you mean by that.
Kylie use the number 400 represent a location 400 miles north of the equator.She uses the number -2,000 to represent a location 2,000 miles south of the equator.Which number would represent a location on the equator?
Answers
Answer:
0 would represent on equator
A. 5°
B. 35°
C. 31°
D. 7°
Answers
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
Naomi is a sales person. She sold a calculator for $86 and earned 20% commission. How much commission did Naomi earn?
Answers
Answer:
$17.20
Step-by-step explanation:
Total commission = cost x percent commission rate
86 x 20 % = 17.20
Total commission = $17.20
The area of a rectangle is 226.2 m2. If the length is 15m, what's the perimeter of the rectangle ?
Answers
Answer: P=60.16m
Step-by-step explanation:
Jamal buys 33 bolts that cost $0.38 each.
Part A
Which equation represents the best estimate for the total cost of all of the bolts?
Answers
Answer: Jamal buys 33 bolts that cost $0.38 each.
Which equation represents the best estimate for the total cost of all of the bolts?
$0.40 × 30 = $12
Step-by-step explanation: $0.40 × 30 = $12 searched it up
$12.54
Step-by-step explanation:
because 33×0.38= $12.54
derivative by first principle logsecx²
Answers
Answer:
[tex]\displaystyle \frac{d}{dx}[\log \big( \sec (x^2) \big)] = \frac{2x \tan x^2}{\ln 10}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \log \big( \sec (x^2) \big)[/tex]
Step 2: Differentiate
Logarithmic Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{(\sec x^2)'}{\ln (10) \sec x^2}[/tex]Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \frac{\sec x^2 \tan x^2 (x^2)'}{\ln (10) \sec x^2}[/tex]Simplify: [tex]\displaystyle y' = \frac{\tan x^2 (x^2)'}{\ln 10}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{2x \tan x^2}{\ln 10}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
You are given a line with a slope of 4 and a point on the line of (-1, 3). Write
the equation in point slope form, then slope-intercept form.
Answers
Answer:
Point-slope form: [tex]y-3 = 4(x+1)[/tex]
Slope-intercept form: [tex]y=4x+7[/tex]
Find the length of the third side to the nearest tenth
7
1
Answers
Answer:
10.7
Step-by-step explanation:
what is the value of x?
Answers
Answer:
it is 10
Step-by-step
PLEASE HELP ITS DUE TODAYYYYYY
Answers
Answer:
80 degrees
Step-by-step explanation:
If ab and cd are congruent what is the measure of
Answers
Answer:
25°
Step-by-step explanation:
the arcs are congruent, and the radii are the same length, as it would be from any other point in a circle. this means that the angle must be the same.
if a system of linear equations has infinitely many solutions, what does this mean about the two lines?
Answers
Answer: If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line so this means that any point on the line is a solution to the system.
Step-by-step explanation: Hope this helps
slope = -5, y - intercept = 1
I need to write this in slope intercept form
Answers
Answer:
y=-5x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope
b is the y-intercept
Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form
y=-5x+1
(1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of both fractions so that Marco and Colin can see both fourths and sixths in the pizza? What would the equivalent fractions be?
Answers
1/12
1/6 = 2/12
1/4 = 3/12
Step-by-step explanation:
HELP ASAP (6 + 9m) + (- 4y - 5) + (7m + 6y)
Answers
Answer:
Simplify the expression
16m+2y+1
A pudding recipe for 50 people calls for 4 cups of suger. Each bag contains 6 cups of suger how many bags of suger will be needed to make this recipe for 300 people?
Answers
Answer:
4 bags
Step-by-step explanation:
50 people = 4 cups
300 people = 24 cups
24 cups ÷ 6 cups a bag = 4 bags
The bags of sugar that will be needed to make this recipe for 300 people will be 4 bags.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
A pudding recipe for 50 people calls for 4 cups of sugar. The ratio of the number of cups of sugar to the number of people. Then we have
Rate = 4 / 50
Rate = 2 / 25 cups per person
If the number of people is 300. Then the number of cups of sugar will be given as,
⇒ (2/25) x 300
⇒ 24 cups
The number of bags of sugar is given as,
⇒ 24 / 6
⇒ 4 bag
The sacks of sugar that will be expected to make this recipe for 300 individuals will be 4 packs.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Given f(x)=5/2x+7,if f(x)=-13 find x
pls show work
Answers
Answer:
x=-25.5
Step-by-step explanation:
5/2(-13) +7=-25.5
Answer:
The value of x = -1/8
Step-by-step explanation:
Given
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
[tex]f(x)=-13[/tex]
To determine
The value of x = ?
Using the function
[tex]f\left(x\right)=\frac{5}{2x}+7[/tex]
substituting f(x) = -13 in the function
[tex]-13=\frac{5}{2x}+7[/tex]
Subtract 7 from both sides
[tex]-13-7=\frac{5}{2x}+7-7[/tex]
Simplify
[tex]-20=\frac{5}{2x}[/tex]
Multiply both sides by 2x
[tex]-20\cdot \:2x=\frac{5}{2x}\cdot \:2x[/tex]
Simplify
[tex]-40x=5[/tex]
Divide both sides by -40
[tex]\frac{-40x}{-40}=\frac{5}{-40}[/tex]
[tex]x=-\frac{1}{8}[/tex]
Therefore, the value of x = -1/8