Answers
9514 1404 393
Answer:
1, 2: draw x as the altitude of a right triangle
3: draw x as double the altitude of the right triangle
Step-by-step explanation:
Consider the right-triangle geometry in the attachment. All of the right triangles are similar, so the ratios of corresponding sides are equal.
short side / long side = x/r = s/x
You may notice this compares to the required relation in problem 1.
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If you multiply this out, you get ...
x² = rs ⇒ x = √(rs)
This compares to the required relation in problem 2.
__
So, you append the two line segments to each other so they make segment AB, find their midpoint D (using a perpendicular bisector construction), then draw the (semi-)circle centered at that midpoint. The perpendicular at X will intersect the circle at C, a distance of x from the line rs. (A perpendicular to a line at a point construction is required to create XC.)
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For problem 3, you simply need to double the length √(rs) that you found in the previous constructions. A simple way to do this is to draw a circle, not a semicircle. Then point C' on the lower half of the circle will be 2√(rs) from point C.
_____
In the attached, we have shown right triangle ABC for discussion purposes above. Segments AC and BC are not needed for your purpose.
Point of clarification: AX = r, BX = s, CX = x.
Related Questions
write 10075302 in words in both the Indian system and international system and rearrange the digits to get the smallest number
Answers
Answer:
answer
Step-by-step explanation:
1,00,75,302= One crore seventy five thousand three hundred two
Rearranging the digits,
Largest number = 7,53,21,000
Smallest number = 1,00,02,357
What is the difference/ ratio of the numbers 6.25, 25, 100, 400,
Answers
The pattern in the number sequence is that every number is 4 times larger than the one before it. In ratio form, 1:4 would be the representation of the pattern.
Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your conclusion in the context of the study.
a. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Chicago than with the anchor of Green Bay.
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
c. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Green Bay than with the anchor of Chicago.
d. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Chicago than with the anchor of Green Bay.
Answers
Answer:
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
Step-by-step explanation:
Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.
The following 5 questions are based on this information: An economist claims that average weekly food expenditure of households in City 1 is more than that of households in City 2. She surveys 35 households in City 1 and obtains an average weekly food expenditure of $164. A sample of 30 households in City 2 yields an average weekly expenditure of $159. Historical data reveals that the population standard deviation for City 1 and City 2 are $12.50 and $9.25, respectively.
Required:
At the 5% significance level, is the economist claim supported by the data?
Answers
Answer:
>> Null hypothesis; H0: μ1 - μ2 ≥ 0
Null hypothesis; Ha: μ1 - μ2 < 0
>> z = 1.85
>> p-value = 0.03
>> there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.
The economist claim is not supported by data.
Step-by-step explanation:
We are given;
Sample mean of city 1; x1¯ = 164
Sample mean of city 2; x2¯ = 159
Sample size of city 1; n1 = 35
Sample size of city 2; n2 = 30
Standard deviation of city 1; σ1 = 12.5
Standard deviation of city 2; σ2 = 9.25
Let's define the hypotheses;
Null hypothesis; H0: μ1 - μ2 ≥ 0
Null hypothesis; Ha: μ1 - μ2 < 0
Test statistic which is the z-score Formula between 2 mean is;
z = ((x1¯ - x2¯) - 0)/√((σ1)²/n1) + ((σ2)²/n2))
z = (164 - 159 - 0)/√((12.5²/35) + (9.25²/30))
z = 5/2.705
z = 1.85
From online p-value from z-score calculator attached, using z = 1.85, one tailed, significance value of 0.05, we have;
p-value = 0.03
The p-value is less than the significance value, and so we will reject the null hypothesis and conclude that there is evidence sufficient to reject the claim that average weekly food expenditure of households in City 1 is more than that of households in City 2.
Ken flips a coin and draws a card. Is this a independent or dependent event?
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James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?
A= P =
Answers
Answer:
The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
The sum of −7 times a number and 8 times the sum of the number and 1 is the same as the number minus 7.
Answers
Answer:
n has no value.
There is no solution to this equation
Step-by-step explanation:
let n be the number
In pieces:
sum of the number and 1: (n + 1)
8 times the sum: 8(n + 1)
-7 times a number: -7n
sum of -7 times and...: -7n + 8(n + 1)
number minus 7: n - 7
the same as: =
All together:
-7n + 8(n + 1) = n - 7
-7n + 8(n+1)=n-7
-7n + 8n+8=n-7
0=-15
Which of the following can be determined exactly from a histogram? A. mean B. median O C. MAD D. none of these
Answers
The midpoint of the tallest bar of the histogram is the mode of the data point.
What is a histogram?Graph is a graphical representation that shows the relationship between a group of points. Types of graphs are histogram, bar chart, pie chart etc.
A histogram is a graphical representation that arranges a group of data points into specific ranges.
The midpoint of the tallest bar of the histogram is the mode of the data point.
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BRAINLIESTT!!
13POINTS
A construction crew built 1/2 miles of road in 1/4 days.
What is the unit rate in miles per day?
Write your answer in simplest form.
Answers
Answer:
2
Step-by-step explanation:
1/2 x 4 = 2
No problem :) remember to give me brainliest :0
Answer:
2 miles per day
Step-by-step explanation:
First make sure they both have a common denominator.
1/2=2/4miles per 1/4 of a day
You multiply both by 4.
This gives you a ratio of 2:1
2 miles per day
hi!
which equation is graphed here?
Answers
Answer:
The equation would be y = -3/2x - 1
Step-by-step explanation:
The slope is -3/2 and the y-intercept is -1.
What is the radius of a hemisphere with a volume of 757 cm", to the nearest tenth of
a centimeter?
Answers
Answer:
r = 7.1 cm
Step-by-step explanation:
Given the following data;
Volume of hemisphere = 757 cm³
To find the radius of the hemisphere;
Mathematically, the volume of a hemisphere is given by the formula;
Volume of hemisphere = ⅔πr³
Where, r is the radius of the hemisphere.
π = 22/7
Substituting into the formula, we have;
757 = ⅔πr³
Cross-multiplying, we have;
757 * 3 = 2πr³
2271 = 2*22/7*r³
2271 = 44/7*r³
Cross-multiplying, we have;
2271 * 7 = 44r³
15897 = 44r³
r³ = 15897/44
r³ = 361.30
Taking the cube root of both sides, we have;
r = 7.1223
To the nearest tenth of a centimeter;
r = 7.1 cm
please help me i will mark brainliest! :D
Answers
Answer:
19.50
Step-by-step explanation:
If the scarf is 25% off, you have to pay 100% -25% = 75%
26 *75%
26 *.75
19.5
Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2
Answers
Answer:
x = -2
y = 5
Step-by-step explanation:
7y - 5x = 45 -------------------(I)
x = 8 - 2y -----------------------(II)
Substitute x = 8 - 2y in equation (II)
7y - 5(8-2y) = 45
7y + 8 *(-5) - 2y*(-5) = 45
7y - 40 + 10y = 45
17y - 40 = 45
17y = 45 + 40
17y = 85
y = 85/17
y = 5
Plugin y = 5 in equation (II)
x = 8 - 2*5
x = 8 - 10
x = -2
Which expressions are equivalent to the given expression?v252
Answers
Answer:
a and b
Step-by-step explanation:
CAN SOMEONE PLEASE ANSWER THIS FOR ME
Answers
Ani do niot know lol
Step-by-step explanation:
Answer:
J. 20ft
Step-by-step explanation:
1 2/3 = 5/3
5/3 * 12/1 = 60/3
60/3 = 20
PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh
Answers
Answer: Angle VUW and QRP are alternate exterior angles.
They are both exterior and are on alternate sides of the transversal.
Hope this helps!
Mr. Bryant earns $32 per hour. He regularly works 40 hours per week. If he works 26 overtime hours (at time- and-a-half), would his overtime pay exceed his regular gross pay? Explain your answer.
Answers
Regular pay = 32 x 40 = $1280
Time and a half = 32 + 16 = $48/hr
48 x 26 = $1248
Can someone please help
Answers
Answer:
The answer is 12 times
Step-by-step explanation:
6 x 12 = 72
112 - 72 = 40
40/5 = 8
12 + 8 = 20 times
so the answer is 12 ;)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
-8x+8=-6x+20 and x= -6
Step-by-step explanation:
Reason to equation:
This image shows alternative interior angles.
Alternative interior angles are congruent to each other.
How to find x:
-8x+8=-6x+20
We subtract 8 from both sides
-8x=-6x+12
We add 6x to both sides
-2x=12
We divided -2 from both sides
-2x/-2x = 12/2
Leaving us with x=-6
And 50% what is the answer please help no links no links
Answers
what is 20 x 3-4 + 80 / 988 + 444444 x 343
Answers
a student needs to fill a 12 gallon fish tank. The student has a container that holds 1/3 gallon of water. how many times will the student need to fill the container with water in order to fill the fish tank completely
Answers
Explanation:
12 divided by 1/3 is 36
You can trust this answer
Goodluck!
I'll try to give Brainlyest please help!!
Answers
16/2= 8
Answer:
D. 2r = 16
Step-by-step explanation:
r/2 = 16, r=32
8= r/8, r=64
4r=16, r=4
2r=16
/2 /2
r=8
7. Logan can type 45 words in 2 minutes. Ebony can type 22 words in 45 seconds. Who
types slower?
Answers
Answer:
Ebony can type faster at 58.6 words per 2 minutes
Step-by-step explanation:
During second period, Mia completed a grammar worksheet. Of the 60 questions, Mia got 80% right. How many questions did Mia get right?
Answers
Answer:
48 questions
Step-by-step explanation:
60 into 80 by 100
60 x 80/100
simplify, hence 60 x 4/5
240 divided by 5 = 48
: )
The number of questions Mia get right is 48 questions.
What is a percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
Total number of questions = 60
Percentage of questions Mia got completed right = 80% = 0.80
Thus number of questions Mia get right = [tex](60)(0.80)[/tex]
⇒ [tex]48[/tex]
Hence we can conclude that the number of questions Mia get right is 48 questions.
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Tracy is trying to justify a step in her paragraph proof. What is the property that she should use?
ABAB
1)Transitive Property of
Congruence
2)Symmetric Property of
Congruence
3)Reflexive Property of Congruence
4)Equality of Congruence Property
Answers
Answer:
The reflexive property of congruence
Step-by-step explanation:
This property says that an object is congruent to itself.
The function f is defined by f(x) = 5x2 + 2x + 5. What is the value of f(2)?
Answers
Answer:
[tex]f(x) = 5 {x}^{2} + 2x + 5 \\ when \: x = 2 \\ f(2) = 5( {2})^{2} + 2(2) + 5 \\f(2) = 29[/tex]
520 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 4 hours. How long would it be, to the nearest tenth of an hour, until there are 33980 bacteria present?
Answers
Answer:
24.1
Step-by-step explanation:
factor by grouping 20i^3-25i^2+4i-5
Answers
50 points) please help! no links, brainliest, extra points.
I understand if you need points, you can go to my old questions and answer them for points, please only answer if your 100% sure you're correct. I've redone this over 20 times, asked over 50, and failed all those times. thank uu.
Any non-integer answers in this problem should be entered as decimals rounded to the tenth.
Duncan surveyed 10 people to see how many hours per week they exercise. The results are listed below.
18, 13, 20, 14, 12, 6, 11, 5, 15, 10
Use the data set to complete the sentences.
The interquartile range of the data set is _____.
The mean absolute deviation of the data set is _____.
Answers
Step-by-step explanation:
interquartile range = 5
.
The mean absolute deviation = 3.6
.
hope this gonna help !
Answer:
range = 15
IQR= 5
mean absolute deviation = 3.6
1st quartile = 10
median= 12.5
3rd quartile = 15