Answer: [tex]12\pi[/tex]
Step-by-step explanation:
The formula for area of a circle is [tex]\pi r^2=A[/tex]
The formula for circumference of a circle is [tex]2r\pi=C[/tex]
Where r is the radius
A is area
C is circumference
Knowing this we can sub our values in and solve for r in the formula for area
Divide both sides by [tex]\pi[/tex] to isolate r
[tex]\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36[/tex]
Take the square root of both sides
[tex]r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6[/tex]
Now sub the value of r into the formula for circumference
[tex]2r\pi =C\\2(6)\pi =C\\12\pi[/tex]
Answer:
[tex]12\pi \: c \: m[/tex]
step by step explanation:
[tex]area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm [/tex]
PLEASE HELP
One number is 4 more than another number. If the greater number is x, what is the other number?
Answer:
12
Step-by-step explanation:
it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.
i hope i got it right just tell me if this is wrong, please
The expression for the smaller number is q = x - 4
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the greater number be p = x
Let the smaller number be q
If the greater number is x, then the other number must be 4 less than x.
We can express this algebraically as:
On simplifying the equation , we get
q = x - 4
Hence , the other number is x - 4.
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the height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. which measurement is closest to the volume of cylinder in cubic cintemeters
a: 251.3
b: 4,021.2 cm
c:251.3 cm
d:628.3 cm
Answer:
Should be 251.3 cm^3
Step-by-step explanation:
Use the formula for volume of cylinder
Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet, find the equation for his rocket if it launches at 5 seconds, lands at 11 seconds, and is at 80 feet after 10 seconds. Explain in one sentence how you created your equation.
The parabolic motion is an illustration of a quadratic function
The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
How to model the function?Given that:
x stands for time and y stands for height in feet
So, we have the following coordinate points
(x,y) = (5,0), (11,0) and (10,80)
A parabolic motion is represented as:
y =ax^2 + bx + c
At (5,0), we have:
25a + 5b + c = 0
c= -25a - 5b
At (11,0), we have:
121a + 11b + c = 0
Substitute c= -25a - 5b
121a + 11b -25a - 5b = 0
Simpify
96a + 6b = 0
At (10,80), we have:
100a + 10b + c = 80
Substitute c= -25a - 5b
100a + 10b - 25a -5b = 80
75a -5b = 80
Divide through by 5
15a -b = 16
Make b the subject
b = 15a + 16
Substitute b = 15a + 16 in 96a + 6b = 0
96a + 6(15a + 16) = 0
Expand
96a + 90a + 96 = 0
This gives
186a = -96
Solve for a
a = -16/31
Recall that:
b = 15a + 16
So, we have:
b = -15 * 16/31 + 16
b =-240/31 + 16
Take LCM
b =(-240 + 31 * 16)/31
[tex]b =256/31
Also, we have:
c= -25a - 5b
This gives
c= 25*16/31 - 5 * 256/31
Take LCM
c= -880/31
Recall that:
y =ax^2 + bx + c
This gives
y = -16/31x^2 + 256/31x - 880/31
Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31
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The points (1, k) and (-6, 9) fall on a line with a slope of -2. What is the value of k?
k=
Answer:
k= -5
Step-by-step explanation:
The equation for slope is rise over run which is also (y2-y1)/(x2-x1)
with the given coordinate being (x,y)
So, we just plug the given values into the equation in order to solve for k.
(9-k)/(-6-1)= -2
First let's simplify the denominator:
(9-k)/(-7)= -2
then we get rid of the denominator by multiplying it on both sides:
(9-k)= (-7)*(-2)
(9-k) = 14
-k = 5
k=-5
only 4 b and c please
Answer:
a) 2L + 2W = 42
b) L = 2W + 3
c) The system is :
2L + 2W = 42
L - 2W = 3
( add the two equations )
3L + (2w - 2w) = 45
3L = 45
L = 45/3
L = 15 ( Length )
L - 2W = 3
15 - 2W = 3
2W = 15 - 3
W = 12/2
W = 6
Can someone please help me I’m stuck
2x=3
x=3/2 =1.5
What is the length of the hypotenuse? 5 and 4in
Answer:
1 foot
Step-by-step explanation:
you multiply 5 1/4 inches by two, you would get 10 1/2 inches. if 2 inches equals 1 foot then 5 inches would equal 10 inches and 1/4 would equal 1/2. If you put those numbers together, you get 10 1/2 inches. Therefore the answer is 2 inches = 1 foot.
Write the amount in standard scientific notation.
1.72E-3 millimeters
[?]x[ ]^ millimeters
Answer:
1.72e-3 = 1.72 x 10-3 = 0.00172
Step-by-step explanation:
72e-3 is a scientific notation used in mathematics, physics, chemistry, astronomy and other sciences to handle either very large or very small numbers. With scientific notation adding, subtracting, multiplying and dividing numbers becomes much simpler
Shawn is typing a paper for class. He can type 1 5/14 pages in 1/3 of an hour. How many pages can shawn type in one hour?
Answer:
4 1/14
Step-by-step explanation:
1 5/14 x 3 = 4 1/14
Answer:
4 1/14 pages
Step-by-step explanation:
multiply 1 5/14 by 3
start by multiplying 1 by 3 which is 3
then multiply 5/14 by 3, you just have to multiply the 5 and you get 15/14 which is 1 1/14
add 3 and 1 1/14 and you get 4 1/14
Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the
equation Vh= 500(1.025), where Vh is the value of the account after t years. Andres begins a savings account three
years later with the same initial amount of money at the same interest rate. Which equations represent the value of
Andres's account after t years?
A.
B.
C.
D.
Andre's account after t years is [tex]V_h=538.45(1.025)^t[/tex] since is option C.
Amount at the year endThe Amount accumulated at the end of a interest year is the sum of the principla amount and the interest gained on the principal amount.
How to find amount at the end of interest year?As Andres start the savings account after 3 years so, the equation representing the value of Andre's account after t years is-[tex]v_h=500(1.025)^{t-3}[/tex].
Also, the amount accumulated in the mean 3 years will be-
[tex]A=500(1.025)^3[/tex]
=$538.45
Hence, another way of writing the equation representing the value of Andre's account after t years is-[tex]V_h=538.45(1.025)^t[/tex]
As a result, option C is the correct answer.
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please help ive been on this question for hours
Answer: 52.4
Step-by-step explanation:
Answer:
π\3 ≈ 1.0 in²
Step-by-step explanation:
area of a full circle= 2πr = 2π(10) = 20π
central angle of full circle= 360°
area of the shaded region= ?
angle of shaded region= 60°
[tex] \frac{360}{60} = \frac{20\pi}{?} \\ \: \\ {?} = \frac{20\pi \times 60}{360 } = \frac{\pi}{3} [/tex]
KM and NP are parallel lines. which angles are supplementary angles?
Supplementary angles = The angles add up to 180 degrees / form a straight line.
Angle KLO and angle KLJ form a straight line -> they are supplementary angles.
How do I write 5 2/5 as a fraction greater than one
Answer:
27/5
Step-by-step explanation:
because If you do 5 2/5 = ? you get 27/5
The terminal side of an angle measuring StartFraction pi Over 6 EndFraction radians intersects the unit circle at what point?.
Thee intersection point of the terminal side which measure the angle pi/6 radians is (0.886, 0.5).
What is the meaning of a circle?A circle is a special type of ellipse in which the eccentricity is zero and the two foci are coincident.
The distance from the center to the circumference is called the radius of the circle.
Given that the terminal side of an angle measuring π/6 radians.
The coordinate point on the circle has to be find out It is known that, the formula for the coordinate is given by
x = r cos∅ and y = r sin∅
Let the r be unity.
Then, x will be
[tex]x=\frac{\pi }{6} \\x=cos(\frac{\pi }{6}) \\\x=0.866[/tex]
The variable y will be
[tex]y=sin\frac{\pi }{6}[/tex]
y=0.5
Thus, the intersection point is (0.886, 0.5).
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as part of a design project, hassan wants to put moroccan tiles side by side along the edge of his counter. each tile has a side leanth of 0.15 meter. the edge of the counter is 3 merters longhow many tiles does hassan need.
The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.
What is a Tile's Length?The tile's length is the longer side of a tile depending on the shape of the tile.
The length of the given tile is, 0.15 meter.
Length of the edge of he counter = 3 meters.
Number of tiles Hassan needs = 3/0.15
Number of tiles Hassan needs = 20 tiles.
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Answer: 20 tiles.
Step-by-step explanation:
The number of tiles with a length of 0.15 meters that would be needed by Hassan to place along the edge of the counter is: 20 tiles.
What is a Tile's Length?
The tile's length is the longer side of a tile depending on the shape of the tile.
The length of the given tile is, 0.15 meter.
Length of the edge of he counter = 3 meters.
Number of tiles Hassan needs = 3/0.15
Number of tiles Hassan needs = 20 tiles.
The table represents some points on the graph of a linear function
x y
-7 -2
-3 4
5 16
15 31
What is the rate of change of y with respect to for this function?
A. 2/3
B 3/2
C - 2/3
D - 3/2
Answer:
D
Step-by-step explanation:
C666666666666666666666
pls help!! does anyone know the answer??? :)
Step-by-step explanation:
1-(a)
2-(c)
3-(d)
4-(b)
I hope it helped you
If u didn't understand anything pls ask in comment
Cody wanted to give each of his forty-five friends an equal amount of candy. At the store he bought six hundred eighty pieces total to give to them. How many more pieces should he have bought so he didn't have any extra pieces? I will branliest to who ever answers first!
Answer:
He should have got 40
Step-by-step explanation:
680 / 45 = 15.11
45 x 16 = 40
I need help I failing
Answer:
A and C
Step-by-step explanation:
Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.
The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.
I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused
I hope this helps!
-No one
hello, can someone answer this question, please show work
Answer:
It's 10(10+3)
Step-by-step explanation:
10x10 is 100 and 3x10 is 30 which gives you 100+30
Answer:
a) 10(10 + 3)
Step-by-step explanation:
Which expresison is equivalent to 100 + 30 (130)?
a) 10(10 + 3)
10(10) + 10(3)
100 + 30 <== equivalent
130
b) 10(10 + 2)
10(10) + 10(2)
100 + 20 <== NOT equivalent
120
c) 5(20 + 25)
5(20) + 5(25)
100 + 125 <== NOT equivalent
225
d) 10(10 + 4)
10(10) + 10(4)
100 + 40 <== NOT equivalent
140
Therefore, the correct answer is 10(10 + 3)
Hope this helps!
Now say you invest the $7,500 and the highest interest rate you can find is 4.5% compounded annually,
but you would have to leave the investment in the account for a minimum of 4 years. If you decide to
wait 4 years to buy the car, how much more money will you have to save to buy a car at the $9,500
price? Use the compound interest formula A = P (1 + i)". (Round final answer to the nearest cent, but
otherwise don't round any intermediate values)
the answer is a i hope this helps
Step-by-step explanation:
hope this helps
1:30 hours + 40 min + 40 min + 2:05 hours
How many hours will this be?
Answer:
4:55 hrs :)
Step-by-step explanation:
1:30 hours + 40 min + 40 min + 2:05
1:30 hrs + 1:20 hrs + 2:05 hrs
2:50 hrs + 2:05 hrs
4:55 hrs
Have an amazing day!!
Please rate and mark brainliest!!!
How can this expression be written another way?
60x−24
Factor using the distributive property and the greatest common factor to write an equivalent expression.
Enter your answer by filling in the boxes.
60x−24= __ (__)
Answer:PLEASE BRAINLIEST
factor using 12 (gcf)
12(5x-2)
It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?
Answer:
Miami
Step-by-step explanation:
First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.
I will convert Miami's temp, to farenheit:
[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]
Miami: 95°F
Chicago: 75°F
Therefore, Miami is the warmer town.
Hope this helps!
help on this please.
Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
Hello people ~
factorise↷
x^2 + 4x –21
Let's see
[tex]\\ \rm\rightarrowtail x^2+4x-21[/tex]
[tex]\\ \rm\rightarrowtail x^2+7x-3x-21[/tex]
[tex]\\ \rm\rightarrowtail x(x+7)-3(x+7)[/tex]
[tex]\\ \rm\rightarrowtail (x-3)(x+7)[/tex]
10788 divided by 31 what it the answer
Answer:
348
Step-by-step explanation:
hope this helps
How do I solve for x and y?
Answer:
x = 69y = 21Step-by-step explanation:
To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.
__
The angles created by the diagonal at the lower left vertex are congruent:
y° = 21°
__
The angles x° and y° are complementary:
x° = 90° -21°
x° = 69°
How to write expressions as the sine, cosine, or tangent of a single angle
How many sides does a dodecahedron have?
Answer:
A dodecahedron has 12 sides
Step-by-step explanation:
Hope that helps!