Answer:
[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]
Step-by-step explanation:
Area of a circle ( A ) = 32 π units
Radius of a circle ( r ) = ?
Perimeter of a circle ( P ) = ?
First ,finding the radius of a circle :
[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]
[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]
[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]
[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]
Finding the perimeter of a circle ( P )
[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]
[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]
[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]
Hope I helped!
Best regards! :D
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Given,
The area of a circle is 32 π square units.
We need to find its perimeter.
What is the area of a circle?The area of a circle is given by:
= π r²
The perimeter of a circle is given by:
= 2πr
Where r = radius
Find the area of a circle.
Area = π r²
32 π = π r²
Divide both sides by π
32 = r²
r = ±√32
r can not be negative so we have,
r = √32
Find the perimeter of a circle.
P = 2πr
P = 2 x π x √32
P = 2√32 π units
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Learn more about how to find the circumference of the circle and the area of the circle here:
https://brainly.com/question/14966973
#SPJ2
How to solve -10+x+4-5=7x-5 and what it equals
Answer:
- 1
Step-by-step explanation:
Step 1:
- 10 + x + 4 - 5 = 7x - 5
Step 2:
- 11 + x = 7x - 5
Step 3:
- 11 = 6x - 5
Step 4:
- 6 = 6x
Answer:
- 1 = x
Hope This Helps :)
which figures can have 2 sides of the same lenth but are not paeallelograms? rectangle square quadrialertral isosceles trapezoid
Answer:
rectangle
Step-by-step explanation:
If $5,500 is invested at 9% annual interest, which is compounded continuously, what is the account balance after 10 years, assuming no additional deposits or withdrawals are made?
Answer:
13527.82
Step-by-step explanation:
Solve the given equation for h:
A = 1/2 bh
A = 1/2 bh
Let's simplify the right side.
A = (bh) / 2
Multiply both sides by 2
2A = bh
Divide both sides by b
(2A) / b = h
How to calculate y=6x^2+1
Hi there!
~
⇒ Graph : [tex]y=6x^2+1[/tex]
∴ Rewrite the equation in vertex form.
⇒ [tex]y = 6 ( x + 0)^2 + 1[/tex]
∴ Use the vertex form, [tex]y = a(x - h)^2 + k[/tex] , to determine the values of [tex]a , h ,[/tex] and [tex]k[/tex]
[tex]a = 6 \\h = 0\\k = 1[/tex]
∴ Since the value of [tex]a[/tex] is positive, the parabola opens up.
⇵
∴ Find the vertex [tex]( h,k)[/tex].
[tex](0,1)[/tex]
∴ Find [tex]p[/tex], the distance from the vertex to the focus.
[tex]\frac{1}{24}[/tex]
∴ Find the focus.
[tex]( 0 , \frac{25}{24} )[/tex]
∴ Find the axis of symmetry by finding the line that passes through the vertex and the focus.
[tex]x = 0[/tex]
∴ Find the directrix.
[tex]y = \frac{23}{24}[/tex]
∴ Use the properties of the parabola to analyze and graph the parabola.
Direction: Opens Up
⇒ Vertex: [tex]( 0 , 1)[/tex]
⇒ Focus: [tex]( 0 , \frac{25}{24} )[/tex]
⇒ Axis of Symmetry: [tex]x = 0[/tex]
⇒ Directrix: [tex]y = \frac{23}{24}[/tex]
∴ Select a few [tex]x[/tex] values, and plug them into the equation to find the corresponding [tex]y[/tex] values. The [tex]x[/tex] values should be selected around the vertex.
[tex]x : -2 , -1 , 0 , 1 , 2 \\y : 25 , 7 , 1 , 7 , 25[/tex]
Hope this helped you!
The Birdwatching Club has 8 members, 2 girls and 6 boys. What is the ratio of
girls to boys in the Birdwatching Club?
O A. 2:1
O B. 3:1
"O c. 1:3
Answer:
c 1:3
Step-by-step explanation:
2/6 divide it by 1/3 and u get 1:3
Amber is making a scale drawing of a movie screen. Her local theater is 60 ft wide and 200 ft tall in her scale drawing the screen has a width of 9 inches what will the height of her screen on her drawing be
Answer:
The height of her screen on her drawing must be 30 inches.
Step-by-step explanation:
The scale factor is obtained by dividing the drawn width by real width of the movie screen:
[tex]k = \frac{9\,in}{60\,ft}[/tex]
[tex]k = \frac{3\,in}{20\,ft}[/tex]
The drawn height of movie screen is the product of the scale factor and the real height of the movie screen:
[tex]h_{s} = \left(\frac{3\,in}{20\,ft} \right)\cdot (200\,ft)[/tex]
[tex]h_{s} = 30\,in[/tex]
The height of her screen on her drawing must be 30 inches.
this is easy but i’m having a bad day and this is almost due please help i will give brainliest
Answer:
Step-by-step explanation:
okay so if we lay it out...,
f(x) 6-5x x-9 x³ 2x-5 12x+3
f(-3) 21 12 -27 -11 -33
f(-2) 16 -11 -8 -9 -21
f(0) 6 -9 1 -5 3
f(1) 1 -8 1 -3 15
f(2) -4 -7 8 -1 27
okay so the left side is all the f(x) values. So the numbers in the "()" represents "x". Now you just substitute the numbers in the"()" for the "x"'s on the top margins. so...,
f(-3)= 6-5x f(-2)= 6-5x f(0)=6-5x f(1)=6-5x f(2)=6-5x
f(-3)= 6-5(-3) f(-2)= 6-5(-2) f(0)=6-5(0) f(1)=6-5(1) f(2)=6-5(2)
f(-3)= 6+15 f(-2)= 6+10 f(0)=6-0 f(1)=6-5 f(2)=6-10
f(-3)= 21 f(-2)= 16 f(0)=6 f(1)= 1 f(2)= -4
f(-3)=x-9 f(-2)=x-9 f(0)=x-9 f(1)=x-9 f(2)=x-9
f(-3)=(-3)-9 f(-2)=(-2)-9 f(0)=0-9 f(1)=1-9 f(2)=2-9
f(-3)=-12 f(-2)=-11 f(0)= -9 f(1)= -8 f(2)= -7
f(-3)=x³ f(-2)=x³ f(0)=x³ f(1)= x³ f(2)=x³
f(-3)=(-3)³ f(-2)= (-2)³ f(0)=0³ f(1)=1³ f(2)=2³
f(-3)= -27 f(-2)= -8 f(0)= 1 f(1)= 1 f(2)=8
f(-3)= 2x-5 f(-2)= 2x-5 f(0)= 2x-5 f(1)= 2x-5 f(2)=2x-5
f(-3)=2(-3)-5 f(-2)=2(-2)-5 f(0)= 2(0)-5 f(1)= 2(1)-5 f(2)=2(2)-5
f(-3)= -6-5 f(-2)= -4-5 f(0)=0-5 f(1)=2-5 f(2)=4-5
f(-3)= -11 f(-2)= -9 f(0)= -5 f(1)= -3 f(2)= -1
f(-3)=12x+3 f(-2)=12x+3 f(0)=12x+3 f(1)=12x+3 f(2)=12x+3
f(-3)= 12(-3)+3 f(-2)=12(-2)+3 f(0)=12(0)+3 f(1)=12(1)+3 f(2)=12(2)+3
f(-3)= -36+3 f(-2)= -24+3 f(0)= 0+3 f(1)=12+3 f(2)=24+3
f(-3)= -33 f(-2)= -21 f(0)=3 f(1)=15 f(2)= 27
Don't know if you wanted all the work. But I just did it for you so you can see.
The endpoints of AB are A(2,5) and B(4,3). What are the coordinates of the midpoint of
AB?
Answer:
(3,4)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(2+4)/2 = 6/2 =3
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(5+3/2 = 8/2 =4
The midpoint is (3,4)
Answer:
Hey there!
Using the midpoint formula we find the midpoint to be: (3, 4)
Let me know if this helps :)
What is (are) the value(s) of x when x3 = 27?
O X = 3
O X = 9
O x = 3 and -3
O x = 9 and -9
The length of an arc of a circle is 44cm.If the radius of the circle is 42cm calculate the angle sub tended by the arc at the center of the circle
Answer:
32
Step-by-step explanation:
-7/10 - 4/10 =
Hurry plz
Answer:
[tex] - 1 \frac{1}{10} [/tex]
Step-by-step explanation:
[tex] - \frac{7}{10} - \frac{4}{10} [/tex]
The two fraction have the same denominator , so put them under a common denominator
[tex] \frac{ - 7 - 4}{10}[/tex]
Simplify
-7-4=-11
[tex] \frac{ - 11}{10} = - \frac{11}{10} [/tex]
write in mixed fraction form
[tex] - 11 \div 10 = 1 \: remainder \: 1 \\ = - 1 \frac{1}{10} [/tex]
The quotient of n and 7 is 6 times n.
Answer:n ÷ 7 = 6n
Step-by-step explanation:
Answer:
76 + n
Step-by-step explanation:
What are the steps of determine an inverse of a function?
Step-by-step explanation:
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
The steps for finding the inverse of a function are given below.
What is an inverse of a function?A function accepts values, performs particular operations on these values and generates an output. The inverse function agrees with the resultant, operates and reaches back to the original function.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f⁻¹(x).
Learn more about inverse of a function click;
https://brainly.com/question/29141206
#SPJ2
ASAP 1. what is the mass, in Kilograms, of a star that is 1.5×10^2 times thw mass of the sun? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. 2. Solve Apply the concepts to this problem. Set up the problem. (2.0 X 10^30) X (1.5 X 10^2) Multiply the coefficients. (2.0 X 10^30) X (1.5 X 10^2), (2.0 X 1.5) = 3.0 Then add the exponents. (2.0 X 10^30) X (1.5 X 10^2) = (10^30 X 10^2) = 10^30 + ^2 = 10^32, Combine the results of the two operations. (2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32 The star's mass is 3.0 x 10^32 kg.
* Muliply numbers written in Scientific notation by multiplying the coefficients and then adding the exponents. you will get Free huge point and a Crown!
Answer:
1. The star's mass is 3.0 x 10^32 kg.
2. The star's mass is 3.0 x 10^32 kg.
Step-by-step explanation:
1.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = 1.5×10^2 kg times the mass of the sun.
find:
Express the answer in Scientific notation.
mass of a star = 1.5×10^2 kg X 2.0×10^30 kg
mass of a star = 3.0 X 10^32 kg
therefore,
The star's mass is 3.0 x 10^32 kg.
===============================================
2.
(2.0 X 10^30) X (1.5 X 10^2)
Multiply the coefficients.
= (2.0 X 1.5)
= 3.0
then add the exponents
= 10^30 + 10^2
= 10^32
Combine the results of the two operations.
(2.0 X 10^30) X (1.5 X 10^2) = 3.0 X 10^32
therefore,
The star's mass is 3.0 x 10^32 kg.
===============================================
Answer:
1. The star's mass is 3.0 x 10^32 kg.
2. The star's mass is 3.0 x 10^32 kg.
Step-by-step explanation:
i got them correct on exam
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x 2 + 3x - 2 F(a) =
Write 3 x x x x y y y y using exponents
Answer:
3 x^4 y^3
just add the number of x's and place that as the exponent and do the same with the y
Please help me!!!!!
Answer:
Option C
Step-by-step explanation:
[tex]f(x)=40( \frac{1}{4} )^{x} \\ x = 0\\ y = 40( \frac{1}{4} )^{0} = 40
[/tex]
1. Two angles form a linear pair. The measure of
the larger angle is four times the measure of the
smaller angle. What is the larger angle's
measure?
Answer:
144°
Step-by-step explanation:
let the smaller angle be x then the larger angle is 4x
The sum of a linear pair of angles = 180°, thus
x + 4x = 180 , that is
5x = 180 ( divide both sides by 5 )
x = 36
Thus the larger angle = 4x = 4 × 36 = 144°
Answer:
let the smaller angle be x.Then the bigger angle will be 4x.
x+4x= 180
or, 5x=180
or, x=180/5
there fore, x=36
Again,
4x=4×36
=144
The larger angle is 144.
Rose has a fish tank in the shape of a rectangular prism. The fish tank has a length of 20 inches and a width of 10 inches Rose pours 15 gallons of water into the fish tank How
hoh, to the nearest tenth of an inch, will the water reach in the tank
photo cubic foot of volume holds approximately 746 gallons of water
inches
Copyright 2020 Illuminate Education, Inc. All Rights Reserved
Answer:
17.3 in
Step-by-step explanation:
Given the following :
Length of tank = 20 inches
Width of tank = 10 inches
Amount of water poured into tank = 15 gallons
Volume(V) of tank (rectangular prism)
V = Length × width × height
Height = h
1 gallon = 231 inch³
15 gallons = (231 × 15) = 3465 in³
Hence V = 3465 in³
3465in³ = 20 in × 10 in × h
3465 in³ = 200h
h = 3465 / 200
h = 17.325 in
Height = 17.3 in ( nearest tenth)
Evaluate 2(3n−9) when n=13. 2(3n−9) =2(3⋅ −9) =2( −9) =2( ) =
Steps to solve:
2(3n - 9); n = 13
~Substitute
2(3(13) - 9)
~Simplify
2(39 - 9)
~Subtract
2(30)
~Multiply
60
Best of Luck!
Answer:
[tex]\Huge \boxed{60}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]2(3n-9)[/tex]
The value of n is 13.
[tex]\Longrightarrow \ \ 2(3(13)-9)[/tex]
Solving for brackets,
[tex]\Longrightarrow \ \ 2(39-9)[/tex]
[tex]\Longrightarrow \ \ 2(30)[/tex]
Multiplying,
[tex]\Longrightarrow \ \ 60[/tex]
[tex]\rule[225]{225}{2}[/tex]
You spend a total of 300 minutes doing math homework Monday through Friday. How many hours will you spend on math homework by the end of this semester (18 weeks)?
Answer:
90 hour
Step-by-step explanation:
300 minutes is for 1 school week
so if you multiply 300 minutes for 18 weeks it results as 5400 minutes.
300 × 18 = 5400 minutes
To get the number of hours you should divide 5400 minute by 60 minutes ( which is one hour )
5400 ÷ 60 =. 90 hours
You spent a total of 90 hours studying math in 18 weeks.
Point L is on line segment KM. Given LM = 2 and KM = 19, determine
the length KL.
Answer:
17
Step-by-step explanation:
i am in doubt with the answer
Answer:
[tex]\huge\boxed{KL = 17}[/tex]
Step-by-step explanation:
If L lies on the line segment KM. It means that:
K_____?__________L___2__M
|<--------------------19------------------->|
Given that:
LM = 2
KM = 19
So,
KM = KL + LM
19 = KL + 2
Subtracting 2 to both sides
KL = 19-2
KL = 17
MATHS | Cousin needs help❤️ question bellow
can someone please help with this?
Part A
Answers:
Coefficient = 10.50 or 15 (pick one value)Variable = h or c (pick one)Constant = 50------------------
Explanation:
The variables are simply letters. They are placeholders for numbers to be plugged in later. Think of them like empty boxes where numbers will go. In this case, the variable h represents the number of hours Tyler works, and c is the number of new accounts she opens.
The coefficients are the numbers multiplied with the variables. They are to the left of the variable.
The constant 50 is not attached to any variable.
===================================
Part B
Answer: She earns $618.5
-------------------
Explanation:
We're told she worked 37 hours. So we'll replace h with 37.
Also, she opened 12 new accounts. So c = 12
This means...
10.50*h + 15*c + 50
10.50*37 + 15*12 + 50
388.5 + 180 + 50
618.5
is the amount she earns
===================================
Part C
Answer: The coefficient changes. Specifically, the coefficient 10.50 changes to 11.25
-------------------
Explanation:
The constant never changes (hence the name) no matter how much of a raise Tyler gets. The other coefficient doesn't change either because she would still get $15 per new account. All that's changed is the hourly wage.
If we're told that Tyler got a raise to $11.25 per hour and she now earned $20 per new account, then both coefficients would change and the new equation would be 11.25h+20c+50
True or false all right triangle aré congruent
Answer:
true
Step-by-step explanation:
Answer: True.
Make sure you check each triangle, not all of them are right ones.
If:
JK = 6x + 2,
KL=7+4, and
JL= 45,
Find KL.
J
K
L
Answer: 25
Step-by-step explanation: got it wrong and got the answer Took 1 for the team
Answer:
25
Step-by-step explanation:
khan academy :D
The total cost renting a bicycle is $10 flat fee plus an additional $7.50 per hour. If the total cost was $55, for how many hours was the bicycle rented
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars, after 5 years A. 20-20-20-20-20 B. 100 c. 5•(-20) d. -20•(-5) E. -100 pls answer my
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
Answer:
Step-by-step explanation:
oh im late-......
What is the sum of 7, 13, and -8? *
Answer:
12
Step-by-step explanation:
7 + 13 + (-8)
Keep in mind, adding a negative number is like subtracting that number.
7 + 13 - 8
= 20 - 8
= 12