The qualitative graph is described as follows:
Segment A increases, segment B is increases, and segment C decreases.
What are qualitative and quantitative variables?Qualitative variables: Assumes labels or ranks.Quantitative variables: Assume numerical values.For the first three graphs, the line and the heights both represent numerical values, hence they are quantitative variables.
This leaves only the last graph, with the segments, as a qualitative variable.
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Answer: This would be D
Step-by-step explanation: A up B up, then c crashes down. But since its qualitative instead of being numbers, they're names like time and height.
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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find x.
please and thank youuu
Answer:
x = 4√2
Step-by-step explanation:
Identifying the triangle in the diagram:
Whenever you see a right angle (its measure is 90°) and a 45°, the measure of the third angle is also 45° and the triangle is called a 45-45-90 triangle which has special rules, as it relates to the lengths of its sides.45-45-90 triangle rules:
The two sides across from the 45° are congruent and their lengths are x units long.The hypotenuse (always across from the right angle) is the longest side and its length is x√2 units long.Finding x:
Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:
(8 = x√2) / √2
8/√2 = x
Rationalize the denominator to simplify:
When you have a fraction with a root as the denominator, we simplify (i.e. rationalize the denominator) by multiplying both the numerator and denominator by the root, which clears the root on the denominator:(8/√2) * (√2/√2)
8√2 / 2
4√2
Thus, x = 4√2
Which of the following is a statistical question that can result in numerical data? What is your favorite television show that you watched this week? What is the name of the doctor at Healthy Kids Pediatrics? How many students at your school have a skateboard? What store in the mall are you most likely to purchase apparel from?
Answer:
All of the above, except for 'What is the name of the doctor at Healthy Kids Pediatrics?'
Step-by-step explanation:
What is your favorite television show that you watched this week? - If we define your favourite show as that which you watched most, you could gather data here on time spent watching each show to determine the answer
What store in the mall are you most likely to purchase apparel from? - Similar to before, data on your previous trips to the mall could be gathered to determine which stores you have been to the most often, and using this make a prediction of the most likely you are to purchase apparel from
How many students at your school have a skateboard? - Here data could be gathered by asking which students have a skateboard and which do not
What is the name of the doctor at Healthy Kids Pediatrics? - This question only has an answer, and it would be the name of the doctor
Answer:
How many students at your school have a skateboard?
Step-by-step explanation:
Since it is asking multiple people it can result in data. It can't result in data if it asks just one question to someone
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !
Answer:
It should be -3
Hope it helped i tried to help you ASAP
Step-by-step explanation:
The FFA has $2400 in a fund to raise money for a new tractor. They are selling trees and
have determined that the number of trees they can buy to sell depends on the price of
the tree p, according to the function n (p) = 2400. Also, after allowing for profit, the
number of trees that customers will purchase depends on the price which the group
purchased the trees with function c(p) = 300 - 6p. For what price per tree will the
number of trees be equal to the number of trees that will be sold?
Price = [price]
The price per tree at which the number of trees bought is equal to the number of trees sold is $40 per tree.
To find the price per tree at which the number of trees bought (n(p)) is equal to the number of trees sold (c(p)), we need to set the two functions equal to each other and solve for p.
The function for the number of trees bought is given as:
n(p) = 2400 / p
The function for the number of trees sold is given as:
c(p) = 300 - 6p
Setting these two equations equal to each other, we get:
2400 / p = 300 - 6p
To simplify the equation, let's multiply both sides by p to eliminate the denominator:
2400 = 300p - 6p²
Rearranging the equation, we have a quadratic equation:
6p² - 300p + 2400 = 0
To solve this quadratic equation, we can either factor it or use the quadratic formula.
Let's use the quadratic formula:
p = (-b ± √(b² - 4ac)) / (2a)
For our equation, a = 6, b = -300, and c = 2400. Plugging in these values, we get:
p = (-(-300) ± √((-300)² - 4 · 6 · 2400)) / (2 · 6)
p = (300 ± √(90000 - 57600)) / 12
p = (300 ± √32400) / 12
p = (300 ± 180) / 12
This gives us two possible solutions:
p1 = (300 + 180) / 12 = 480 / 12 = 40
p2 = (300 - 180) / 12 = 120 / 12 = 10
Therefore, the price per tree at which the number of trees bought is equal to the number of trees sold is $40 per tree.
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Need help asap will give brainliest
Answer: A
Because if you calculate the number of root 15, You will get 3.87........
Calculate the root of 15 and your answer will be 3 which is A
By the way if this question will appear next time use calculator! :))
I hope your answer is correct!
Answer:
Step-by-step explanation:
A
what's the meaning of bobo?
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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meteorologist predicts that there is a 42% chance of rain on Saturday and a 54% chance of rain on Sunday.
The probability that it will not rain on both Saturday and Sunday will be 0.2268.
How to calculate probability?From the information, meteorologist predicts that there is a 42% chance of rain on Saturday and a 54% chance of rain on Sunday.
The probability that it will not rain on both Saturday and Sunday will be:
= (1 - 42%) × (1 - 54%)
= 0.58 × 0.46
= 0.2268
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Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
y = y equals StartFraction one-half EndFraction x.x
y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60
y = y equals StartFraction 1 Over 5 EndFraction x. x
y = y equals StartFraction 1 Over 20 EndFraction x plus 60.x + 60
Answer: y=1/5x
Step-by-step explanation:
Answer:
It is y = y equals 1 Over 5 x Or Y=1/5x.
Step-by-step explanation:
Did it on edge 2020
Proof:
Emily volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go.
On Saturday, 416 people went to The Youth Wing, 448 people went to Social Issues, and 341 went to Fiction and Literature. On Sunday, the library had 500 total visitors.
Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.
What in mathematics is a whοle number?Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.
The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:
Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%
Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%
We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:
Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)
Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185
We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.
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can anybody help me with these two questions
Answer:
#1 is 39
#2 is 10 1/2
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer!
Have a great thanksgiving break :)
Please explain your answer to the question in the picture with steps
Answer:
x = 31.2
Step-by-step explanation:
You want the solution to the proportion 12/x = 5/13.
Rational equationYou can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...
\(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)
Now, the value of x is found by dividing both sides by its coefficient.
\(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)
__
Additional comment
The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.
Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.
You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.
Any proportion can be written 4 ways:
\(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)
These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.
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Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
What is the formula used to arrive at x^2-11x+10
Answer:
Quadratic Formula
Step-by-step explanation:
x^2-11x+10=
x^2-x-10x+10=
x(x-1)-10(x-1)=(x-10)(x-1)
en un triangulo rectangulo abc rectos en b a) hallar el angulo a si c=2a b) hallar el angulo en c se a=4b+10
answer
The side
b
is
4√2
unit.
Explanation:
in right triangle
C=900,a=2,c=6c
is
the side opposite to the right angle, so it is hypotenuse,
a
and
b
are the adjacent sides of the right angle .
We know in right triangle
,a2+b2=
c2∴22+b2=62
or
b2=36−4=32∴
b=√32
or
b=4√2
unit. The side
b is 4√2
unit [Ans]
The number of skateboards that can be produced by a company can be represented by the function f(h) = 325h, where h is the number of hours. The total manufacturing cost for b skateboards is represented by the function g(b) = 0.008b2 + 8b + 100. Which function shows the total manufacturing cost of skateboards as a function of the number of hours? g(f(h)) = 325h2 + 80h + 100 g(f(h)) = 3425h + 100 g(f(h)) = 845h2 + 2,600h + 100 g(f(h)) = 2.6h2 + 2,600h + 100
The function which shows the total manufacturing cost of skateboards as a function of the number of hours is; g(f(h)) = 845h2 + 2,600h + 100.
Which function shows the manufacturing cost as a function of number of hours?It follows from the task content that the function which shows the manufacturing cost as a function of the number of hours be determined.
Since, the number of skateboards is given in terms of hours as; f(h) = 325h and;
The manufacturing cost, g is given in terms of the number of skateboards, b manufactured;
The function instance which represents the manufacturing cost as a function of hours is; g(f(h)).
Therefore, we have; g(f(h)) = 0.008(325h)² + 8(325h) + 100.
Hence, the correct function is; g(f(h)) = 845h2 + 2,600h + 100.
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Find a formula for the sequence 3, 9/4, 27/7, 81/10,... in sigma notation
9514 1404 393
Answer:
\(\displaystyle S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}\)
Step-by-step explanation:
The sequence terms appear to have numerators that are powers of 3, and denominators that are a linear (arithmetic) sequence with a first term of 1 and a common difference of 3.
numerator: 3^x
denominator: 1 +3(n -1) = 3n-2
Then the sum of n terms of the sequence can be described by ...
\(\displaystyle \boxed{S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}}\)
1. A person spends1/4 -part of his
income on food, 2/3part on house
rent and remaining * 630 on other
items. Find his house rent.
(a) * 2050
(b) 5040
(c) * 1000
(d) None of these
Answer:
*2520
Step-by-step explanation:
A quarter of him income was spent on food
X (representing his income) - x/4= 3x/4
Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.
2/3 * 3x/4= x/2
3x/4-x/2=x/4.
The remaining after all expenses are paid is 630. So:
x/4=630
x=630*4
x=2520
1/4 + 2/3 + 1/12 = 1
That is fraction on
Food + house rent + other items = Total amount
If 1/12 = 630.............. equation 1
Then 1/4 + 2/3 = 11/12
11/12= x................. equation 2
Cross multiply equation 1 & 2
1/12*x = 1155/2
To find x, cross multiply again
2x = 13860
x = 13860/2
x = 6930
This means that 11/12 + 1/12 = 6930 + 630
= 7560
Therefore 2/3(fraction for house rent)*7560(total amount)=5040
Answer is 5040
In ΔABC, a = 260 inches, b = 480 inches and c=430 inches. Find the measure of ∠C to the nearest 10th of a degree.
You may need to use the appropriate technology to answer this question.
Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health insurance for small, medium, and large companies. For purposes of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and large companies have 1,000 or more employees.
The questionnaire sent to 225 employees asked whether or not the employee had health insurance and then asked the employee to indicate the size of the company.
Health Insurance Size of the Company
Small Medium Large
Yes 30 59 82
No 20 16 18
(a) Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company.
State the null and alternative hypotheses.
H0: Having health insurance is not independent of the size of the company.
Ha: Having health insurance is independent of the size of the company. H0: Having health insurance is not independent of the size of the company.
Ha: The proportion of companies with health insurance benefits is not equal for small, medium and large companies. H0: Having health insurance is independent of the size of the company.
Ha: The proportion of companies with health insurance benefits is equal for small, medium and large companies.H0: Having health insurance is independent of the size of the company.
Ha: Having health insurance is not independent of the size of the company.
Find the value of the test statistic. (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
Do not reject H0. We cannot conclude health insurance coverage and the size of the company are not independent.Do not reject H0. We cannot conclude health insurance coverage is independent of the size of the company. Reject H0. We conclude health insurance coverage is independent of the size of the company. Reject H0. We conclude health insurance coverage is not independent of the size of the company.
(b) A newspaper article indicated employees of small companies are more likely to lack health insurance coverage. Use percentages based on the above data to support this conclusion. (Round your answers to the nearest integer.)
For small companies, % do not provide health insurance. For medium companies, % do not provide health insurance. For large companies, % do not provide health insurance. These percentages support the conclusion that small companies are ---Select--- less more equally likely to provide health insurance coverage when compared to medium and large companies.
Answer:
H0: Having health insurance is independent of the size of the company.
Ha: Having health insurance is not independent of the size of the company.
χ²= 9.284
The corresponding p-value for the test is = 0.0096
Reject H0. We conclude health insurance coverage is not independent of the size of the company.
For small companies, 40% do not provide health insurance. For medium companies, 11.4% do not provide health insurance. For large companies,18 % do not provide health insurance.
These percentages support the conclusion that small companies are less more equally likely to provide health insurance coverage when compared to medium and large companies.
Step-by-step explanation:
small medium large Total
yes 30 59 82 171
no 20 16 18 54
Total: 50 75 100 225
Expected Values small medium large Total
yes { 50* 171/225} = 38 57 76 171
no 12 18 24 54
Total 50 75 100 225
Squared Distances small medium large
yes {(30 - 38)^2}/38
= 1.684 0.07 0.474
no {(20 - 12)^2} /12
= 5.333 0.22 1.5
1) The null and alternative hypotheses can be formulated as
H0: Having health insurance is independent of the size of the company.
Ha: Having health insurance is not independent of the size of the company.
(2) the significance level is alpha =0.05 ,
the number of degrees of freedom is df = (2 - 1) * (3 - 1) = 2df
so then the rejection region for this test is χ 2 :χ 2 >5.991.
3) Test Statistics under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
4) χ²= 1.684+5.333+0.07+0.222+0.474+1.5
= 9.284
Since it is observed that χ²=9.284 >χ²= 5.991 it is concluded that the null hypothesis is rejected.
5) Conclusion
It is concluded that the null hypothesis H0 is rejected. Therefore, there is not enough evidence to claim that the two variables are dependent at 0.05 significance level.
The corresponding p-value for the test is = 0.0096
b) The percentages of
Small %= 20/50= 0.4= 40%
Medium %= 16/75 = 0.786= 11.4%
Large %= 18/100= 0.18= 18%
For small companies, 40% do not provide health insurance. For medium companies, 11.4% do not provide health insurance. For large companies,18 % do not provide health insurance.
These percentages support the conclusion that small companies are less more equally likely to provide health insurance coverage when compared to medium and large companies.
In long division what is 246/8
Answer:
the answer is 30.75 or 30 1/4
Step-by-step explanation:
8 can't go into 2 so 8 will go into 24
8 can go into 24 3 times thats our first digit
then multiply 8 times 3 you will get 24 write that under 24
then subtract 24 from the original 24 you will get 0
bring down the 6 to where the 0 is try to divide 8 into three
because you can't u will add a 0 next to the three
that is how you get the 30
thats as much as I know sorry I used the calculator
Suppose that sin(a) = 4/6 and cos(b) =1/5 define in the first quadrant, determine cos(a-b). (round to 4 decimal places)
The value of the cosine of the angle of (a - b) will be 0.80.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
It is a function that repeats itself in a particular time interval.
Suppose that sin(a) = 4/6 and cos(b) = 1/5.
Then the value of 'a' is given as,
sin(a) = 4/6
sin(a) = 2/3
a = 41.81°
Then the value of 'b' is given as,
cos(b) = 1/5
b = 78.46°
Then the value of the cosine of the angle of (a - b) will be given as,
⇒ cos(41.81° - 78.46°)
⇒ cos(-36.65°)
⇒ cos 36.65°
⇒ 0.80
The value of the cosine of the angle of (a - b) will be 0.80.
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1. Pedro bought seven dozen candy bars to give out on Halloween night. He gave each trick-or-treater two candy
bars. At the end of the night, he had 14 candy bars left. How Many Trick-or-treaters did he have
Answer:
28 or it is 42
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
First, you need to know 7 dozen, which is 7*12, which equals 84. Altogether, Pedro had 84 candy bars. He had 14 candy bars left over. 84-14=70 He used 70 candy bars. He gave 2 to each trick-or-treater, so do 70/2=35. He had 35 trick-or-treaters.
What is the value of this expression when c = -4 and d = 10?
A.
2
B.
9
C.
21
D.
41
The complete question is
"What is the value of this expression when c= -4 and d= 10?
1/4 (c^3+d²)
A.2
B.9
C.21
D.41"
The value of this expression when c = -4 and d = 10 will be option B 9.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
The given expression is
\(1/4 (c^3+d^2)\\\\1/4 ((-4)^3+(10)^2)\\\\1/4 ( -64 + 100)\\\\1/4 (36)\\\\9\)
Hence, the value of this expression when c = -4 and d = 10 will be option B 9.
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What do you think about data set if standard deviation to be zero?
Step-by-step explanation:
all elements of the data set have the same value. therefore there is no difference of the individual values to the mean value.
and the sum of these differences is therefore also 0.
Which of the following is NOT Linear/does not increase at a constant rate?
Answer: The one that starts with (-4,10)
Step-by-step explanation:
Linear means that the numbers are going up at a constant rate. It means, that the y will go up corrosponding x.
1) Linear
X goes up 2 per 4 y
2) Linear
X goes up 1 per 3y
3) Linear
X goes up 2 per 4y
4) Not Linear
X goes up 2 per Unequal growth y.
You can tell because it goes up by +5 until the last where it goes up +7
An isosceles triangle whose sides are 5cm, 5cm and 6cm is inscribed in a circle. Find the radius of the circle.
Answer:
To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:
r = (a/2) * cot(π/n)
where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.
In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:
6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)
36 = 50 - 50cos(x)
cos(x) = (50 - 36)/50
cos(x) = 0.28
x = cos^-1(0.28) ≈ 73.7°
Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:
(5/2)^2 + h^2 = 5^2
25/4 + h^2 = 25
h^2 = 75/4
h = sqrt(75)/2 = (5/2)sqrt(3)
Now we can find the radius of the inscribed circle using the formula:
r = (a/2) * cot(π/n)
where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:
r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm
Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.
How much time has passed? Start time: 1:18 a.m. End time: 3:09 a.m.
Answer:
1 hour and 51 minutes
Step-by-step explanation:
Find the difference between the time.