Answers
so... notice, the larger green circle, has a radius of 22.
now, the blue smaller circle, is taking up half of the diameter of the green one, so, the diameter for the small one is 22, and its radius is half that, or 11.
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\\\\ -------------------------------\\\\ \stackrel{\textit{large green circle}}{C=2\cdot \pi \cdot 22}\implies C=44\pi \qquad\qquad \qquad \stackrel{\textit{small blue circle}}{C=2\cdot \pi \cdot 11}\implies C=22\pi [/tex]
Related Questions
A merchant uses the rule: selling price equals cost + 10% of cost. This is a function. Why?
Answers
x-------------> cost
y------------> selling price
we know that
y=x+0.10x-----------> y=1.10x
Is a function because, is a relation or correspondence between two magnitudes,x and y, so that each value of x corresponds to a single value of y.
Answer:
y=x+0.10
Step-by-step explanation:
Please help
1.
(05.08 MC)
Given the equation `1/(x-1)+2/x=x/(x-1)`
Part A: What values of x that would make the equation no solution? Why?
Part B: What is the solution of the equation. Show all of your steps.
(10 points)
2.
(05.09 MC)
Max and Maggie have to clean the house. It takes Max 10 hours to clean the house, while Maggie can complete the task in 6 hours. How long will it take for them to work together? Explain each step in solving this equation. (10 points)
Answers
we have that
1/(x-1)+2/x=x/(x-1)
we know that
for x=1 and x=0 the equation is undefined because the denominator can not be zero
Part B)
1/(x-1)+2/x=x/(x-1) ---------> [x+2*(x-1)]/[x*(x-1)]=x/(x-1)
the term (x-1) in the denominator is simplified
[x+2*(x-1)]/x=x
x+2x-2=x²--------------> x²-3x+2=0
using a graph tool---------> I solve the quadratic equation
see the attache figure
the solution are
x1=1
x2=2
Part C)
we Know that
Max-----------------> takes 10 hours to clean the house
we calculate how much clean in an hour
if takes 10 hour------------> 100%
1 hour----------------------X
X=100/10--------> X=10%
Maggie-------------> takes 6 hours to clean the house
we calculate how much clean in an hour
if takes 6 hour------------> 100%
1 hour----------------------X
X=100/6--------> X=16.67%
we add both percentages
(10+16.67)=26.67 %
if both takes 1 hour----------> 26.67 %
X----------------------------------> 100%
X=100/26.67----------> X=3.75 hours---------> 3 hours+45 minutes
the answer part C) is 3.75 hours (3 hours+45 minutes)
The parent secant function is shifted 2 units down, and its period is changed to pi. Which of the following is the graph of the transformed function?
Thank you!
Answers
Two transformations are applied to this function.
1st Transformation:
Function is shifted down by 2 units. The resultant function will be:
sec(x) - 2
2nd Transformation:
The period of function is changed to π. The resultant function after both transformations will be:
sec(2x) - 2
The graph of transformed function over 1 period is attached below.
Helppppppp!!!!!!!!!!!!!!!!!!
Answers
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:
180 = 115 + 50 + x
180 = 165 + x
15 = x
Answer:
The measure of angle 2 is 15 degrees.
In 1987 the average price of gasoline was $0.94. Today the price of gas is about $3.00. What is the percent increase from 1987 to today? (explain the problem please)
Answers
2.06/0.94 = x/100
Let's cross multiply the values diagonally. 100 * 2.06 is 206. 0.94 * x is 0.94x. That makes 206 = 0.94x. Divide each side by 0.94 to isolate the x. 0.94x/0.94 cancels out. 206/0.94 is 219.1489 and other numbers behind it or 219 when rounded to the nearest whole number. There. The percent of increase is approx. 219%.
Answer:
-219.1% decrease
Step-by-step explanation:
.94-3.00=-2.06
-2.06/.94=-2.191
-2.191*100=-219.1 decrease
The total area of the rectangular prism shown is 30 sq. ft. 50 sq. ft. 62 sq. ft.
Answers
The Surface area of rectangular prism is given by:
[tex] S.A = 2(wl + hl+ hw) [/tex]
where ,
w=width=2 ft
h=height=5 ft
l=length.=3 ft
Plugging these values in the formula,
[tex] S.A = 2(2*3 + 3*5+ 5*2) [/tex]
Answer : Surface Area =62 square feet.
WZ←→− is tangent to circle O at point B.
What is the measure of ∠OBZ?
80º
90º
160º
180º
Answers
WZ is tangent to circle O at point B. The measure of [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Given,line wz is tangent to circle O at point B.
We have to find out the measure of [tex]\angle OBZ[/tex].
What is a tangent?A tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of Tangency.
The tangent to a circle is perpendicular to the radius at the point of tangency.
Here in circle O, WZ is the tangent which touches the circle at point B,
so B is the point of tangency and the [tex]\angle OBZ[/tex] is [tex]90^{\circ}[/tex].
Hence the correct option is B. [tex]90^{\circ}[/tex]
For more details on Tangent of circle follow the link:
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Jaylyn rode her bicycle in a bike-a-thon she wrote 33.48 miles in 2.7 hours if she rode at the same speed what was her speed in miles per hours
Answers
Average speed is defined by a formula:
[tex]speed = \frac{distance}{time} [/tex]
We have:
distance = 33.48 miles
time = 2.7 hours
speed = ?
[tex]speed = \frac{33.48}{2.7} \\ speed = 12.4 mph[/tex]
V=d/t
V is the speed.
d is the distance (d=33.48 miles).
t is the time (t=2.7 hours).
Then, when you substitute this values into the formula for calculate the speed, you obtain:
V=d/t
V=33.48 miles/2.7 hours
Therefore, the result is:
V=12.40 miles/hour
What was her speed in miles per hours?
The answer is: 12.40 miles/hour
What is the quotient
Answers
1) Rewrite the expression completely.
2) make a double c.
3) Factor each quadratic expression correctly.
4) cancel similar terms.
Answer:
2n
See attached images.
Emily added 5 grams of water into 20 grams of 50% salt solution.
She made ___ grams of ___% salt solution.
Answers
She made ___25___ grams of ___40___% salt solution
------------------------------------------------------------------
The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution
The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water
So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration
Isaac is on the 4th floor of a building. If he rides an elevator up 7 floors, what floor will he be on?
What integer represents the floor Isaac is starting on?
What integer represents how many floors the elevator will rise?
What floor will the elevator stop at?
Answers
1) if Isaac is on the 4th floor and goes up 7, that is 4 + 7= 11. So he is on the 11th floor.
2) the integer representing the floor he is starting on is 4 because that is the whole number associated with "4th."
3) the integer representing how many floors he will rise is 7.
4) the elevator will stop at 11.
Hope this helps! :)
Answer:
1. 4
2. 7
3. 11
Step-by-step explanation:
Just did the assignment.
What are the solutions to the equation?
5w^2+10w=40
Enter your answers in the boxes.
w =
and
Answers
5w^2 + 10w - 40 = 0
Divide by 5 through ...
w^2 + 2w - 8 = 0
(w+4)(w-2) = 0
w = -4 or w = 2
Answer:
w= -4 and 2
Step-by-step explanation:
it's better to put it exactly how i wrote it to ensure you'll get it right ( -4 goes first then 2).
Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?
Answers
It is discrete...
The answer would be: D). y=4x+7.75; continuous. Let me know if this is right!
Which inequality represents all possible solutions of -7n < -14?
Answers
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To ensure that you do not have a total consumption budget, which two categories should be added to your budget
Answers
A. savings and checking
B. savings and miscellaneous
C. savings and vacation
D. vacation and miscellaneous
My answer would be: B. savings and miscellaneous
Total consumption budget is defined as a budget where every centavo is allocated to a planned need like shelter, food, water, etc. There is no residual amount in this budget because the net balance is 0. Thus, for a budget not to become a total consumption budget, there must be some left over amount for discretionary spending like savings and other miscellaneous expenses.
there were 13,426 eligible voters for a certain election. On election day 8,206 people cast their vote. What was the percent of voter turn-out?
Answers
so
[tex] \frac{8206}{13426} = 0.611202...[/tex]
multiply the decimal by 100 to get a percentage of about 61.12% voter turnout
Final answer:
The percent of voter turnout in this election was 61.1%.
Explanation:
Voter turnout refers to the percentage of eligible voters who cast a ballot in an election.
To calculate the percent of voter turn-out, you need to divide the number of people who cast their vote by the total number of eligible voters, then multiply by 100 to get the percentage.
Number of people who cast their vote: 8,206
Total number of eligible voters: 13,426
To calculate the percent of voter turnout we use the following formula:
Divide the number of people who voted by the number of eligible voters.
Multiply the result by 100 to get a percentage.
= (8,206 / 13,426) × 100
= 0.611 × 100
= 61.1%
Therefore, the percent of voter turnout in this election was 61.1%.
Given △ABC where A(2, 3), B(5, 8), C(8, 3), RS is the midsegment parallel to AC, ST is the midsegment parallel to AB, and RT is the midsegment parallel to BC, determine if the statements are true or false.
Select True or False for each statemen
Answers
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]. Using the coordinates of A and B, we have:
[tex]R=(\frac{5+2}{2},\frac{8+3}{2}) \\R=(\frac{7}{2},\frac{11}{2}) \\R=(3.5, 5.5)[/tex]. Similarly, S is the midpoint of BC:
[tex]S=(\frac{5+8}{2},\frac{8+3}{2}) \\S=(\frac{13}{2},\frac{11}{2}) \\S=(6.5, 5.5)[/tex].
Since ST is a midsegment parallel to AB, then T must be a midpoint of AC:
[tex]T=(\frac{2+8}{2},\frac{3+3}{2}) \\T=(\frac{10}{2},\frac{6}{2}) \\T=(5,3)[/tex].
Now that we have the coordinates of each point we can find the length of each segment using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For ST:
[tex]d=\sqrt{(6.5-5)^2+(5.5-3)^2} \\=\sqrt{(1.5)^2+(2.5)^2} \\=\sqrt{2.25+6.25 \\=\sqrt{8.5}=2.9 \neq 4[/tex]
For RT:
[tex]d=\sqrt{(3.5-5)^2+(5.5-3)^2} \\=\sqrt{(-1.5)^2+(2.5)^2} \\=\sqrt{2.25+6.25} \\=\sqrt{8.5}=2.9 \neq 5[/tex]
For RS:
[tex]d=\sqrt{(3.5-6.5)^2+(5.5-5.5)^2} \\=\sqrt{(-3)^2+(0)^2} \\=\sqrt{9+0}=\sqrt{9}=3[/tex]
helpppppppppppppppppppp
Answers
either x = 5 or x = -1 (second option)
Explanation:
We are asked to use the u substitution. This means that we will assume that:
u = x - 3
Substitute in the given expression:
u^2 + 2u - 8 = 0
(u-2)(u+4) = 0
either u = 2
or u = -4
Now, we have:
u = x- 3
at u = 2:
x - 3 = 2
x = 2 + 3 = 5
at u = -4:
x - 3 = -4
x = -4 + 3 = -1
Hope this helps :)
Using substitution we have:
u = x-3
We rewrite:
(u) ^ 2 + 2 (u) -8 = 0
We are looking for roots:
u1 = 2
u2 = -4
We return the change:
u1 = 2 = x-3
x1 = 3 + 2 = 5
u2 = -4 = x-3
x2 = -4 + 3 = -1
Answer:
x1 = 5
x2 = -1
(option2)
Find the percent change from the first value to the second. 36; 63
Answers
The percent change from 36 to 63 is calculated using the formula: [(New value - Original value) / Original value] x 100. The percent change in this case is 75%.
To find the percent change from the first value to the second, use the following formula:
Percentage change = [(New value - Original value) ÷ Original value] × 100
In this case, the original value is 36 and the new value is 63. So, the change in value is 63 - 36 = 27.
Next, divide the change by the original value: 27 ÷ 36 = 0.75.
To convert this to a percentage, multiply by 100: 0.75 × 100 = 75%.
Therefore, the percent change from 36 to 63 is 75%.
Write a proportion to find how many points xx a student needs to score on a test worth 80 points to get a test score of 80%.
Answers
Answer:cross multiply to solve
100x = 50*78
x = 50*78/100
x = 39 points needed to score a 78%
Step-by-step explanation:hope this helps:D
Find the circumference of the circle. Use pi = 3.14. A. 3 m B. 18.84 m C. 6 m D. 28.26 m
Answers
The perimeter of the circle is:
C = 2 * pi * r
Where,
r: radius of the circle.
Substituting we have:
C = 2 * (3.14) * (r).
Another alternative way is:
C = 2 * pi * (d / 2)
rewriting:
C = pi * d
Substituting we have:
C = (3.14) * d
Where d is the diameter of the circle.
Note: to complete the answer substitute the radius or the diameter of the circle in the given equations.
Answer:
C = (3.14) * d
C = 2 * (3.14) * (r).
The circumference of the circle.
A. r = 3 m, C = 18.84 m
B. r = 18.84 m, C = 118,315 m
C. r = 6 m, C = 37.68 m
D. r = 28.26 m, C = 177,473 m
Further explanationCircles are two-dimensional builds which are sets of equidistant points at a point called the center point
The distance of these points to the center is called the radius of the circle. While the circle field is an area which is bounded by a circle
There are terms - terms commonly used in circles:
1. The center point 2. Radius 3. Arc 4. Circumference 5. Segment 6. Chord 7. Annulus 8. Diameter 9. Disc 10. LensWhereas circumference formula
C = 2. π. r
π = 3.14
r = radius
In the question is known radius as follows:
A. r = 3 mthen
C = 2.3.14. 3
C = 18.84 m
B. r = 18.84 mC = 2.3.14. 18.84
C = 118,315 m
C. r = 6 mC = 2.3.14. 6
C = 37.68 m
D. r = 28.26 mC = 2.3.14. 28.26
C = 177,473 m
Learn moreThe formula of the circumference
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Keywords : the circumference
, circle, center point
Here are four decimal numbers: 0.98, 0.3, 0.26, 0.627 order from smallest to largest.
Answers
0,26 < 0,3 < 0,627 < 0,98
Make a box-and-whisker plot for the data. what is the median value? 56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answers
The median value is 48.
To find the median you put all the numbers in order. If there is an odd number of numbers it is the center number. If there are an even amount of numbers it is the mean I’d the two central numbers. In this case the two central numbers were the same. So the median is 48.
Answer:
Median = 48.
Step-by-step explanation:
Given : 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
To find : what is the median value.
Solution : We have given 56 32 48 52 51 53 48 38 35 42 40 46 54 50.
Step (1) : Arrange in ascending order
32 , 35 , 38 ,40 , 42 , 46 , 48, 48 ,, 50 ,51, 52 ,53 ,54 , 56.
Total numbers = 14 ,
Formula of median for even numbers : [tex](\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th} \\Mean\ of\ (\frac{n+1}{2})^{th} ,(\frac{n}{2})^{th}\ term\ is\ the\ median[/tex].
Here , n = 14
Step (2): [tex](\frac{14}{2})^{th} ,(\frac{14}{2}+1)^{th}[/tex]
[tex](7^{th} ,(8)^{th}[/tex] terms are 48 , 48
Step (3) :Mean of [tex](7^{th} ,(8)^{th}[/tex] = [tex](\frac{48+48}{2})[/tex] .
Median = 48.
Therefore, Median = 48.
What does it mean if a statistic is resistant? choose the correct answer below.
a. extreme values (very large or small) relative to the data do not affect its value substantially.
b. changing particular data values affects its value substantially.
c. an estimate of its value is extremely close to its actual value.
d. extreme values (very large or small) relative to the data affect its value substantially?
Answers
Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample: -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.
So option a is the correct ans.
A statistic is said to be resistant if it isn't significantly affected by outliers or extreme values in the data. It remains relatively stable when extreme values are added or removed from the dataset.
Explanation:In statistics, when a statistic is described as resistant, it is typically referring to its ability not to be affected by outliers or extreme values (very large or small) in a dataset. In other words, a resistant statistic is relatively stable and does not change dramatically if an extreme value is added to, or removed from, the dataset. So, the correct answer is: a. extreme values (very large or small) relative to the data do not affect its value substantially.
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Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A ? Enter your answer in the box.
Answers
180 - 43 = 137
:)
Answer: The answer is 137°.
Step-by-step explanation: Given that the quadrilateral ABCD is inscribed in a circle, where measure of angle C is 43°. We are to find the measure of ∠A.
Since the quadrilateral ABCD is inscribed in a circle, so it will be a cyclic quadrilateral. Also, the sum of opposite angles of a cyclic quadrilateral is 180°.
Therefore, we have
[tex]\angle A+\angle C=180^\circ\\\\\Rightarrow \angle A+43^\circ=180^\circ\\\\\Rightarrow \angle A=180^\circ-43^\circ\\\\\Rightarrow \angle A=137^\circ.[/tex]
Thus, the required answer is 137°.
Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1? 6f – 1 evaluated at f = 9 is 53. 2f + 4f + 2 – 3 evaluated at f = 9 is also 53. 6f – 1 evaluated at f = 3 is 17. what is 2f + 4f + 2 – 3 evaluated at f = 3?
Answers
the expression 2f + 4f + 2 – 3-------> we can group it (2f+4f)+(2-3)
(2f+4f)+(2-3)=(6f-1)
therefore
the expression [2f + 4f + 2 – 3] is equivalent to [6f-1]
if the expression [6f-1] for f=3 is 17
then
the expression [2f + 4f + 2 – 3] for f=3 is also 17
let's check it
[2*3 + 4*3 + 2 – 3]--------> [6+12+2-3]=[20-3]=17------> is ok
Answer: 17
Step-by-step explanation:
Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.
Answers
f(x)=3x
g(x)=x²+5
g(x)/f(x)=[x²+5]/[3x]
that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
the domain is the interval (-∞,0) U (0,∞)
using a graph tool
see the attached figure
A car is traveling at a speed of 44 feet per second. What is the car’s speed in miles per hour? How many miles will the car travel in 4 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers
Answers
44 * 3600 = 158400 feet per hour
158400 / 5280 = 30 miles per hour
30 * 4 = 120 miles
Car travels at speed of 44 feet per second. Converted to miles per hour, it's 30 mph. In 4 hours, it travels 120 miles, using the conversion factor 1 mile = 5280 feet.
To find the car's speed in miles per hour, you can use the conversion factor:
1 mile = 5280 feet
So, first, we need to convert the car's speed from feet per second to miles per hour.
Find out how many feet the car travels in an hour, and then we'll convert that to miles:
1 hour = 60 minutes
1 minute = 60 seconds
So, in 1 hour, there are 60 minutes × 60 seconds = 3600 seconds.
Now, if the car is traveling at a speed of 44 feet per second, in 1 hour, it would travel:
44 feet/second × 3600 seconds/hour = 158,400 feet/hour
Now, convert this to miles:
158,400 feet/hour / 5280 feet/mile = 30 miles/hour
So, the car's speed is 30 miles per hour.
To find out how many miles the car will travel in 4 hours at this speed:
4 hours × 30 miles/hour = 120 miles
The car will travel 120 miles in 4 hours.
Therefore, speed of the car is 30 miles/hour and it travels 120 miles in 4 hours.
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An aquarium is 18 in. high, 12 in. wide, and 24 in. long. How much water can the aquarium hold? (V = lwh)
Answers
Raina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Raina $4.40 per pound, and type B coffee costs $5.80 per pound. This month, Raina made 171 pounds of the blend, for a total cost of $856.00 . How many pounds of type A coffee did she use?
Answers
i just tried to solve this everyway i know possible when you get the answer lmk please.