Answers
Answer:
R=11cm, r=3cm
Step-by-step explanation:
π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².
hope this helps you.
Related Questions
A company has two warehouses that are 360 miles apart. A truck leaves Warehouse A and heads towards Warehouse B traveling at 45 miles per hour. At the same time, a truck leaves Warehouse B and heads towards Warehouse A traveling at 60 miles per hour. How long will the trucks be driving before they meet each other on the road?
between 1 and 2 hours
between 2 and 3 hours
between 3 and 4 hours
between 4 and 5 hours
Answers
Answer:
Between 3 and 4 hours
Step-by-step explanation:
Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:
[tex]45x+60y=360[/tex]
Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:
(see picture)
Since both trucks left the warehouses at the same time, we need that: [tex]x=y[/tex]
And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.
I hope this helps.
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: Rectangles ABCD and A prime B prime C prime and D prime are shown. A is at negative 1, 2. B is at negative 1, 5. C is at negative 3, 5. D is at negative 3, 2. A prime is at 2, 1. B prime is at 5, 1. C prime is at 5, 3. D prime is at 2, 3. What transformation did Kim perform to create rectangle A'B'C'D'? Rotation of 270 degrees counterclockwise about the origin Reflection across the line of symmetry of the figure Reflection across the yâ€axis Rotation of 90 degrees counterclockwise about the origin.
Answers
The transformation rule for Rotations of 270 degrees counter clockwise is (x, y) —> (y, -x).
Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.
Given that,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
We have to determine,What transformation did Kim perform to create rectangle A'B'C'D'?
According to the question,Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:
Rectangles ABCD and A prime B prime C prime and D prime are shown.
Transformation involves changing the position of the given shape.
The transformation on rectangle ABCD to A'B'C'D' is (a) rotation of 270 degrees counterclockwise.The coordinates of ABCD are given as:A (1, -2),
B (-1, 5)
C (-3, 5)
D (-3, 2)
The coordinates of A'B'C'D' are given as:A (2, 1),
B (5, 1)
C (5, 3)
D (2, 3)
The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.
And the proof is as follows.
The rule of 270 degrees counterclockwise about the origin is:
The given coordinates;
A (2, 1) - (-1, 2)
B (5, 1) - (-1, 5)
C (5, 3) - (-3, 5)
D (2, 3) - (-3, 2)
Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.
For more details about Rotation refer to the link given below.
https://brainly.com/question/10624834
What is the percent of change from 46 to 69?
Answers
Answer:
A change from 46 to 69 represents a positive change (increase) of 50% Use the formula found below on this webpage to find the percent change by replacing the given values: Percent change = New - Old |Old| × 100% Percent change = 69 - 46 |46| × 100% =
Step-by-step explanation:
Used my brain (Lol brain)
I hope it’s help
Write as an equation/inequality: "The product of four and a number is the sum of the number and twelve."
Answers
Answer: 4x = x+12
Step-by-step explanation:
What the time in your region ?
Answers
Answer:
Step-by-step explanation:
2:33pm
Answer:
11:35 pm here in Dubai.....Hehe.......(4z^7+1/z^7)^2 how do i solve this?
Answers
Answer:
if i am correct this is the formula you asked?
[tex](4z^7+\frac{1}{z}^7)^2[/tex]
Step-by-step explanation:
the answer is
[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]
if i put the wrong equation tell me so i can do it again
:)
17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)
Answers
Answer:
the corect answers is d and c
Step-by-step explanation:
Answer: B D E
Step-by-step explanation: I got it right on usetestprep
A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?
Answers
It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
as speed (v) rises;time (t) decreases, and distance (d) is constantFrom the given relation:
Distance = speed × timeSo, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
Learn more about distance, time and speed here:
https://brainly.com/question/12199398
1+2+3+4+5+6+7+8+9+10+11+!2+13=?
Answers
Answer:
91
Step-by-step explanation:
1+2+3+4+5+6+7+8+9+10+11+12+13 = (14 * 6) + 7 = 91
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answers
Answer:
The awnser should be 4. (3x4 = 12, 12 x 4 = 48, 48 x 12 = 192, 192 x 4 = 768. )
Step-by-step explanation:
(Hope this helps, Happy holidays!!)
Which one of Aiko's steps makes a false assumption? Why is it false?
Aiko's Proof:
1. Draw 2 rectangles. Label one ABCD and the other PQRS
2. Translate rectangle ABCD by the directed line segment from A to P.A' and P now coincide. The points coincide because that's how we defined
our translation
3. Rotate rectangle A'B'C'D' by angle D'A'S. Segment A"D" now lies on ray PS. The rays coincide because that's how we defined our rotation.
4. Dilate rectangle A"B"C"D" using center A" and scale factor AD. Segments A"D" and PS now coincide. The segments coincide because A" was
the center of the rotation, so A" and P don't move, and since D" and S are on the same ray from A", when we dilate D" by the right scale factor, it
will stay on ray PS but be the same distance from A" as S is, so S and D' will coincide.
5. Because all angles of a rectangle are right angles, segment A'B' now lies on ray PQ. This is because the rays are on the same side of PS and
make the same angle with it (If A'B' and PQ don't coincide, reflect across PS so that the rays are on the same side of PS.)
6. Dilate rectangle A"B"C"D" using center A" and scale factor AB Segments A'"'**" and PQ not coincide by the same reasoning as in step 4.
7. Due to the symmetry of a rectangle, if 2 rectangles coincide on 2 sides, they must coincide on all sides.
Answers
Answer:
6th step is wrong
Step-by-step explanation:
We have the dilation transformations we only needed one, and that is the 6th step. It would make more sense to do the dilation transformation early in the steps and we already did these steps at the beginning.
Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?
Answers
The cost of 5 scarves is $33.75. What is the unit price?
Answers
Answer:
$6.75
Step-by-step explanation:
Divide 33.75 by 5, they are $6.75 each
Ethan was simplifying 3xl(-2xl + 1)2 State and correct the error below
3xl(-2x1 + 1)
(-6x²/²+3x1²
(-6x?[2 + 3x1)(-6x12 + 3xl)
-36X414 - 18x13 – 18x13 + 9x²12
-36X*1* 36x12 + 9x212
-36x* (1) – 36x®(-1) + 9x?(-1)
36x4 + 36x°– 9x2
Answers
can someone help with another question i posted 5 minutes ago
Answers
Answer:
Awnser
what is the question
Ms. Lee takes out a loan to start a business. She borrows $5,000 at a simple annual interest rate of 6.5% for 5 years. What is the total amount of interest Ms. Lee must pay?
Answers
Answer:
6625
Step-by-step explanation:
We know that: P = 5000
R = 6.5%
T = 5
Formulate and substitute: I = 5000rt
Calculate the product or quotient: 5000 x (1 + 0.325)
Calculate the sum or difference: 5000 x 1.325
Calculate the product or quotient: 6625
If the average volume flow of blood through the aorta is 8.5 × 10-5 m 3/s and the cross-sectional area of the aorta is 3.0 × 10 -4 m2, what is the average speed of blood in the aorta?
Help me:)
Answers
The average speed of blood in the aorta is 0.2833 m/s
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
From the question, to calculate the average speed:
Average speed = Volume rate / cross sectional area
Average speed = 8.5 * 10⁻⁵ / (3 * 10⁻⁴) = 0.2833 m/s
The average speed of blood in the aorta is 0.2833 m/s
Find out more on average speed at: https://brainly.com/question/680492
Find the measure of y.
• 110°
• 100°
• 103°
• 93°
Answers
Answer:
110°
Step-by-step explanation:
Alternate angles are equal.
Hope this helps and have a good day!
Measure of y is [tex]103^0[/tex]
What is quadrilateral ?A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.
110 + Z =180 ......................(Linear pair)
So, the measurement of angle z is 70.
Since, Sum of all interior angles of quadrilateral = 360°.
then...
Y = 360 - (100 + 87 + 70)
Y = 360 - 257
= 103
Hence, measure of y is [tex]103^0[/tex]
To learn more about the quadrilateral here:
https://brainly.com/question/29269424
#SPJ7
Just gonna attach a picture of the problem so it’s easier
Answers
Answer:
You have to find the intercept hope this helps
Step-by-step explanation:
Two shops, Waitroze and Budgins sell the same brand of cans of soup but with different offers.
Calculate the price for 24 tins at each shop.
Waitroze = 8 for £3.35
Budgins = 6 for £2.89
Answers
Answer:
24 cans at Waitrose would be £10.05.
24 cans at Budgins would be £11.56.
Step-by-step explanation:
Times the waitrose offer by 3
Times the budgins offer by 4
Hope that helped. x
Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.
1) Explain why the relationship between total distance and hours is a function.
2) Is this function continuous or discrete? Explain how you know.
3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.
4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.
5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, but just x and y.
6) What is the slope of the function? What does it represent?
7) What is the y-intercept? What does it represent?
Answers
The total distance is an illustration of a linear function.
(1) Why the relationship is a function
The relationship is a function because all input values of h, have exactly one corresponding output value of d
(2) The function type
The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)
(3) The domain for a drive of 8 hours
The domain is the set of time the girls drive.
So, the domain is: [0,8]
(4) The range
The function is given as:
[tex]d = 55h +10[/tex]
When h = 0,
[tex]d = 55(0) +10 = 10[/tex]
When h = 8,
[tex]d = 55(8) +10 = 450[/tex]
So, the range is: [10,450]
(5) The graph
See attachment
(6) The slope
A linear function is represented as:
[tex]y = mx + c[/tex]
Where:
m represents the slope.
So, by comparison:
[tex]Slope = 55[/tex]
The slope in this case represents the distance travelled per hour
(7) The y-intercept
In (6) above, c represents the y-intercept.
So, by comparison:
[tex]c = 10[/tex]
The y-intercept in this case represents the initial distance
Read more about linear functions at
https://brainly.com/question/15602982
PLEASE HELP AS SOON AS POSSIBLE I NEED TO SUBMIT THIS IN 10 MINUTES!!!!
IT GIVES 20 points!!!
Answers
Answer:
1. A. falling asleep
2. D. taking more time to wind down before bedtime
3. B. There is more than one reason that people have trouble sleeping.
4. C. The problem of falling asleep has been around for a long time and affects many people
5. A. why kids have trouble falling asleep and what they can do about it
6. A. something done over and over
Step-by-step explanation:
If a transversal intersects two parallel lines then find the ratio of the number of pairs of alternate angles to the number of pairs of corresponding angles so formed
Answers
all the information given in the question.
Assume two parallel lines as 'm' and 'n'.
And name all the angles formed by the
intersection of transverse with parallel
lines. Use the property that says that the
corresponding angles and opposite angles
are equal for a pair of parallel lines.
Combine the two hence formed equations
to get the required relationship.
Complete step-by-step answer:
Here in this problem, we are given two
parallel lines and a transversal intersects it.
Now within this situation, we need to prove
that each pair of alternate angles is equal.
Before starting with the solution to the
above problem, we must draw a figure
using all the information given to us.
Alternate angles are the two angles, other lines.
So according to the above figure, we
assumed that the two parallel lines be 'm
and 'n' with one transverse cutting both of
them at two points and forming eight
angles named as <1, <2, <3, <4, <5, <6,<7 and
<8
Here we need to prove that the pair
alternate angles, i.e. <3=<5 and <4=26
As we know that the corresponding angles
between two parallel lines are equal in
measure. A corresponding angle is the
angles that occupy the same relative
position at each intersection where a
straight line crosses two others.
i.e. <2=<6,<1= <5,43=<7 and <4=<8
•(i)
Also, the opposite angles formed in the
intersection of two lines are equal in
measure,
i.e. <1=43,42= <4,46= <8 and <5=<7
.. (11)
From relation (i) and (li), we can write two
pairs as <2=<6 and <2=<4 we can say <6=<4
Similarly, if we take two pairs from (i) and (li)
aS <1=<5
and <1=<3
From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=45 and <4=<6
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=25 and <4=26
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the
sum of interior angles on the same side is
supplementary
A line with the slope of -4 passes through the point (8,-3). What is the equation in point slope form
Answers
The slope is given already so it will be :
Y=-4x+c
Now you can find C by replacing the given points
-3=-4(8)+c
C=9
Final answer is :
Y= -4x+9
PLEASE HELP
In 2010, the population of a city was 167,000. From 2010 to 2015, the population grew by 6.3%. From 2015 to 2020, it fell by 4.6%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
Answers
Answer:
1%
Step-by-step explanation:
please help with this
Answers
Why is the slope the same on a line when different points are used to identify the slope?
Answers
Therefore the slope is the same because the line passes through both those points.
Different points can be used to identify the slope as follows -
We have a straight line.
We have to investigate why is the slope same on a line when different points are used to identify the slope.
What is Slope of a Line ?The slope of a line is denoted by m and is defined as the change in y coordinate with respect to the change in x coordinate.
According to question -
Different points can be used to identify the slope provided that they all lie on the same straight line. Line is a collection of points and these set of points can be used top determine the rate of change of y with respect to x. The slope of a line can also be found out using y - intercept of the line using the general equation of straight line -
y = mx + c.
Hence, the slope is same on a line provided that they all lie on the same straight line
To solve more questions on Slope of lines, visit the link below -
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what is 2244 divided by 51 show work
Answers
Answer:
44 Step-by-step explanation:
first you want to put the Question like this in the calculator
2244÷51=44
I have to mach the special of angles
Answers
Which function is represented by the graph?
The parent absolute value function is translated
3 units and Y 1 unit.
The function that is graphed is f(x) =
Answers
The parent absolute value function is translated 3 units left and 1 unit up.
The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
The parent absolute function is given as:
[tex]y =|x|[/tex]
When a function is translated 3 units left, the rule of transformation is:
[tex](x,y) \to (x + 3,y)[/tex]
So, we have:
[tex]y = |x + 3|[/tex]
When a function is translated 1 unit uo, the rule of transformation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = |x + 3| +1[/tex]
Express as a function
[tex]f(x) = |x + 3| +1[/tex]
Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]
Read more about transformation at:
https://brainly.com/question/1548871
Answer:
left,up, lx+3l+1
Have fun