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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
14 cm
?
8 cm
16 cm
11 cm
6 cm
Answers
The missing side length from the given figure is 6 ft.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
From the figure,
Missing side = x
Now,
The expression we can make from the figure.
= 16 - 10
= 6 ft
Thus,
The missing side length is 6 ft.
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Related Questions
Miguel was selling apples, plums, and peaches at the local farmer’s marker. He sold 18 more
pounds of apples than pounds of plums. He sold 9 pounds less of peaches than pounds of
plums. He sold a total of 69 pounds of fruit. How many pounds of each fruit did he sell?
Answers
Answer:
He sold 32 pounds of apples, 14 pounds of plums and 23 pounds of peaches.
Step-by-step explanation:
Let:
x = Mass of Apples (pounds)
y = Mass of plums (pounds)
z = Mass of peaches (pounds)
He sold 18 more pounds of apple than pounds of plums: [tex]x = 18 + y[/tex]
He sold 9 less pounds of peaches than pounds of plums: [tex]z - 9 = y[/tex]
He sold a total of 69 pounds of fruit: [tex]x + y + z = 69[/tex]
We have 3 unknown variables, therefore a system of 3 linear simultaneous equations:
[tex]x = 18 + y[/tex] ——- (equation i)
[tex]z - 9 = y[/tex]
∴ [tex]z = 9 + y[/tex] ——— (equation ii)
[tex]x + y + z = 69[/tex] ——- (equation iii)
The above linear simultaneous equations can be solved by Substitution Method:
Substitute (equation i) and (equation ii) into (equation iii) to solve for y. Expand the parenthesis and bring all the like terms together. y has to be made the subject of the equation:
[tex](18 + y) + y + (y + 9) = 69[/tex]
= [tex]18 + y + y + y + 9 = 69[/tex]
= [tex]y + y + y = 69 - 18 - 9[/tex]
= [tex]3y = 42[/tex]
= [tex]y = \frac{42}{3}[/tex]
∴ y = Mass of plums = 14 pounds
Substitute the calculated value of y into the other two equations to solve for x and for z:
[tex]x = 18 + (14)[/tex]
∴ x = Mass of apples = 32 pounds
[tex]z = 9 + (14)[/tex]
∴z = Mass of peaches = 23 pounds
A school newspaper reporter decides to randomly survey 13 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 23% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. Part (a) Part (b) List the values that X may take on. O X =0, 1, 2..... 23 x = 1, 2, 3....23 x = 1, 2, 3....13 OX0.1.2..... 13 OO Part (c) Give the distribution of X. X-OX (0:0) Part (d) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) O Part (e) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.) Part (0) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
Answers
The probability that more than 2 students will attend is 0.9179.
Part (a) List the values that X may take on.
X may take on the values 0, 1, 2, 3, ..., 13.
Part (b) Give the distribution of X.
The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23
Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
We can expect 3 students to attend the festivities.
Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)
The probability that at most 3 students will attend is 0.6923.
Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)
The probability that more than 2 students will attend is 0.9179.
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Find the sample variance and standard deviation.
23, 16, 5, 7, 11 q
OA. s² =
2
S
OB. 0²=
Answers
The sample variance and the standard deviation are 52.8 and 7.26
How to determine the sample variance and standard deviationFrom the question, we have the following parameters that can be used in our computation:
23, 16, 5, 7, 11
Calculate the mean
Mean = (23 + 16 + 5 + 7 + 11)/5
Mean = 12.4
The standard deviation is
SD = √[Sum of (1 - Mean)²]/[N - 1]
So, we have
SD = √[(23 - 12.4)² + (16 - 12.4)² + (5 - 12.4)² + (7 - 12.4)² + (11 - 12.4)²]/[5 - 1]
This gives
SD = √211.2/4
So, we have
SD = √52.8
SD = 7.26
Hence, the standard deviation is 7.26
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someone help me please
Answers
Step-by-step explanation:
This symbol is signma, which is the sub of all the X's after plugging them into the equation.
Just to show the pattern, the first 3 numbers on your table are 15, 13, and 13... doing those 3 with Sigma, and simplifying
[tex]( {1 5 - 2)}^{2} + ({13 - 2)}^{2} + {(13 - 2)}^{2} [/tex]
[tex]169 + 121 + 121[/tex]
You would pretty much do that all the way down the list.
After doing so, we wind up with
15, 13, 13, 4, 19, 12, 6, 5, 14
[tex]169 + 121 + 121 + 4 + 289 + 100 + 16 + 9 + 144[/tex]
Adding these together gets your answer of:
[tex]973[/tex]
which answer is the right choice
Answers
7200+80x = 3200+120x
Reason:
Canton starts off with 7200 people. Add on 80x to represent the fact the town grows 80 people per year. That's how we end up with the expression of 7200+80x
Similarly, the expression 3200+120x represents the idea Holly Springs started off with 3200 people and grows at 120 people per year.
Figure ABCD is a kite.
Find the value of x.
A
X =
= [?]
14x - 22
H
B
C
Answers
The value of x is equal to 8, in the equation 14x -22.
What is equation?An equation is a mathematical statement consisting of two expressions joined by an equal sign.
Solution:
The diagonals of the dragon intersect at right angles. This gives a solvable relationship for x.
setting the displayed dimensions correspond to 90° angular dimensions.
14x -22 = 90
You can solve this two-level linear equation in the usual way.
14x = 112. . . . . . Step 1, add the reciprocal of the constant to get just x
x = 112/14 = 8 . . . Step 2, divide by the factor of x
Hence, the value of x is 8.
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decimal of 3\4 and percent
Answers
Equivalence means to be same, whether it be value, temperature, size, etc.
First, let's convert [tex]\frac{3}{4}[/tex] into a different fraction.
[tex]\frac{3}{4}[/tex] = [tex]\frac{75}{100}[/tex]We know this because each side of the fraction [tex]\frac{3}{4}[/tex] can be multiplied by 25 to get [tex]\frac{75}{100}[/tex].
3 × 25 = 754 × 25 = 100Now that we know this, we can convert the fraction [tex]\frac{75}{100}[/tex] into a percentage.
What is a percentage?A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
if we know that percentages are expressed as a fraction of 100, we know that [tex]\frac{75}{100}[/tex] is equal to %75.
To convert percentages into decimals, we can just take the percentage (%75) and fit it into 0.00, making it 0.75.
Therefore, the fraction [tex]\frac{3}{4}[/tex] as a percentage is %75, and as a decimal it is 0.75.
Tarzan loaded 14 trucks every 35 minutes. At that rate how long in minutes will it take to load 8 trucks
Answers
emma has 0.5 lb of sugar. How much water would she add to make the following concenstractions? Tell Emma how much syrup she would have each case. 50% syrup
Answers
To make the concentration of 50% syrup,
she needs to add 0.5 lb of sugar.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given:
Emma has half a pound of sugar.
To make the concentration of 50% syrup:
Let n be the required amount.
In decimals, 50% is 0.5.
Applying the percentage formula;
we get,
[tex]\frac{0.5}{n + 0.5} \cdot 100 = 50[/tex]
Applying cross multiplication,
we get,
[tex]\frac{0.5}{n + 0.5} = 0.5[/tex]
0.5 = 0.5(n + 0.5)
1 = n + 0.5
n = 1 - 0.5
n = 0.5 lb.
Therefore, she would have 0.5 + 0.5 = 1 pound of sugar.
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3. Find the volume of a cone with radius 6 m and height 20 m
Answers
Answer: 753.98m³
Formula:V=πr2h3=π·62·203≈753.98224m³
Find side RT
10 m
13m
14 m
16 m
Answers
The side RT of the triangle is 13 m.
How to find the side RT of the triangle?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
The sine law is a mathematical formula used in trigonometry to relate the sides and angles of a triangle. The sine law states that:
a/sin(A) = b/sin(B) = c/sin(C)
where:
a, b, and c are the lengths of the sides of the triangle
A, B, and C are the angles opposite those sides
Using sine law:
RT/sin 34° = ST/sin 109°
RT/sin 34° = 22/sin 109°
RT = (22 * sin 34°)/(sin 109°)
RT = 13 m
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A school is having a movie day. They are selling popcorn at the school for $0.50 per bag. If a student purchases popcorn with $5, how much popcorn would the student receive?
Answers
This student would receive 10 bag of popcorns.
How to determine the quantity of popcorn?Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.
In order to determine the quantity of popcorn, we would make use of the information provided about the unit price for one bag of popcorn by using the following mathematical expression;
Number of bag of popcorns = Cost of one bag of popcorn/Unit price
Substituting the given parameters into the mathematical expression above, we have the following;
Number of bag of popcorns = 5/0.50
Number of bag of popcorns = 10 bag of popcorns.
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The vet says that raise puppy will grow to be at most 28 inches tall raise. Puppy is currently 1 foot tall how much more will the puppy grow?
Write an inequality to solve the problem
Answers
Answer:
16 inches
Step-by-step explanation:
28 - 12 = 16 inches
1 foot = 12 inches
What might the composer do to write a piece with a carefree and ecstatic mood?
A. A lively accompaniment
B. Dissonant chords
C. A slow tempo
D. A minor key
Answers
Answer:
A. A lively accompaniment
Step-by-step explanation:
B. Dissonant - would most likely result in a eerie mood
C. A slow tempo - could result in melancholy or calm emotions
D. A minor key - could also result in melancholy emotions
What is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (3, 1)?
Answers
Answer:
Step-by-step explanation:
perp.: -4/3
y - 1 = -4/3(x - 3)
y - 1 = -4/3x + 4
y = -4/3x + 5
y-int: (0, 5)
Which two sets of values make the inequality 3(n – 2) ≤ 2n – 3 true?
A. {−2, −1, 3}
B. {−2, −1, 4}
C. {−1, 0, 3}
D. {−1, 1, 4}
E. {1, 0, 5}
Answers
A. {−2, −1, 3}
For n = −2, 3(n – 2) = 3(-2 – 2) = −12 and 2n – 3 = 2(-2) – 3 = −7, so −12 ≤ −7 is false.
For n = −1, 3(n – 2) = 3(-1 – 2) = −9 and 2n – 3 = 2(-1) – 3 = −5, so −9 ≤ −5 is false.
For n = 3, 3(n – 2) = 3(3 – 2) = 3 and 2n – 3 = 2(3) – 3 = 3, so 3 ≤ 3 is true.
B. {−2, −1, 4}
For n = −2, 3(n – 2) = 3(-2 – 2) = −12 and 2n – 3 = 2(-2) – 3 = −7, so −12 ≤ −7 is false.
For n = −1, 3(n – 2) = 3(-1 – 2) = −9 and 2n – 3 = 2(-1) – 3 = −5, so −9 ≤ −5 is false.
For n = 4, 3(n – 2) = 3(4 – 2) = 6 and 2n – 3 = 2(4) – 3 = 5, so 6 ≤ 5 is false.
C. {−1, 0, 3}
For n = −1, 3(n – 2) = 3(-1 – 2) = −9 and 2n – 3 = 2(-1) – 3 = −5, so −9 ≤ −5 is false.
For n = 0, 3(n – 2) = 3(0 – 2) = −6 and 2n – 3 = 2(0) – 3 = −3, so −6 ≤ −3 is false.
For n = 3, 3(n – 2) = 3(3 – 2) = 3 and 2n – 3 = 2(3) – 3 = 3, so 3 ≤ 3 is true.
D. {−1, 1, 4}
For n = −1, 3(n – 2) = 3(-1 – 2) = −9 and 2n – 3 = 2(-1) – 3 = −5, so −9 ≤ −5 is false.
For n = 1, 3(n – 2) = 3(1 – 2) = −3 and 2n – 3 = 2(1) – 3 = −1, so −3 ≤ −1 is false.
For n = 4, 3(n – 2) = 3(4 – 2) = 6 and 2n – 3 = 2(4) – 3 = 5, so 6 ≤ 5 is false.
E. {1, 0, 5}
For n = 1, 3(n – 2) = 3(1 – 2) = −3 and 2n – 3 = 2(1) – 3 = −1, so −3 ≤ −1 is false.
For n = 0, 3(n – 2) = 3(0 – 2) = −6 and 2n – 3 = 2(0) – 3 = −3, so −6 ≤ −3 is false.
For n = 5, 3(n – 2) = 3(5 – 2) = 9 and 2n – 3 = 2(5) – 3 = 7, so 9 ≤ 7 is false.
So, only for n = 3, the inequality 3(n – 2) ≤ 2n – 3 is true. Hence, the only set of values that makes the inequality true is C. {−1, 0, 3}.
what decimal is equivalent to 29 11
Answers
Answer:
2.64
Step-by-step explanation:
Find the slope of a line parallel to 25x-5y=-10
.
Answers
The slope of a line parallel to another line will have the same slope as the original line. To find the slope of the line 25x - 5y = -10, we need to rearrange the equation into the slope-intercept form y = mx + b, where m is the slope.
First, we'll isolate y:
25x - 5y = -10
5y = 25x + 10
y = (25/5)x + 2
So the slope of the line 25x - 5y = -10 is m = 25/5 = 5.
Therefore, a line parallel to 25x - 5y = -10 will have a slope of m = 5.
The entry ticket to a local museum costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group?.
Answers
The number of adults and children in the group were 64 and 36 respectively by using an algebraic equation.
It is given that the entry ticket to a local museum costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056.
Let the number of adults in the group = x
number of adults in the group = y
Total number of people paid an entry fee = 100
So the equation becomes : x + y = 100
or x = 100 - y
Cost for adult ticket = $12
Cost for child ticket = $8
Total entry fee paid = $1,056
Second equation = 12x + 8y = 1056
putting value of x from equation 1
12(100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
4y = 144
y = 36
x = 100 - 36 = 64
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Patrick and Brooklyn are making decisions about their bank accounts. Patrick wants to deposit $300 as a principal amount with an interest of 3% compounded quarterly Brooklyn
wants to deposit $300 as the principal amount, with an interest of 5% compounded monthly Explain which method results in more money after 2 years Show all work
Answers
Answer:
To compare the amount of money that Patrick and Brooklyn would have after 2 years, we need to calculate the interest earned using each of their methods.
For Patrick, who deposited $300 with an interest rate of 3% compounded quarterly, the formula to calculate the amount after 2 years (8 quarters) is:
A = P(1 + r/n)^(nt)
Where:
P = principal amount ($300)
r = interest rate (3%)
n = number of times compounded per year (4)
t = time in years (2)
Substituting the values into the formula:
A = $300(1 + 0.03/4)^(4 * 2)
A = $300(1.0075)^8
A = $300 * 1.06173
A = $318.52
For Brooklyn, who deposited $300 with an interest rate of 5% compounded monthly, the formula to calculate the amount after 2 years (24 months) is:
A = P(1 + r/n)^(nt)
Where:
P = principal amount ($300)
r = interest rate (5%)
n = number of times compounded per year (12)
t = time in years (2)
Substituting the values into the formula:
A = $300(1 + 0.05/12)^(12 * 2)
A = $300(1.00417)^24
A = $300 * 1.09722
A = $328.17
Therefore, after 2 years, Brooklyn would have $328.17, which is more money than Patrick's $318.52.
Convert the complex number 2√2(cos 135° + i sin 135°) into rectangular
(standard) form. Express your answer in simplest radical form.
Answers
The solution to the complex number in rectangular form is; -2 + 2i
How to express complex number in rectangular form?The complex number is given as;
2√2(cos 135° + i sin 135°)
The standard form is a + bi.
The value of cos 135° is; -(√2)/2
The value of sin 135° is; (√2)/2
Plugging these values into the given equation is;
2√2(-(√2)/2 + ((√2)/2)i)
Expanding the bracket gives;
-2 + 2i
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[tex]\frac{x+8}{3} =7\\[/tex]
Answers
Answer:
The solution is 13
Step-by-step explanation:
x+8/3 = 7
x+8 = 7×3
x+8 = 21
x = 21-8
x = 13
is 5.2481 a ratinal number
Answers
Answer:
Step-by-step explanation:
Rational numbers are numbers that can be written in the form pq, where p and q are integers and q≠0. The difference between rational numbers and fractions lies in the fact that fractions cannot have negative numerator or denominator.
so, yes.
How many cups will you get if you mix 2 gallons, 4 quarts, and 1 pint?
You will get
cups.
Answers
Answer: 50 Cups
Step-by-step explanation:
16 cups in a gallon. so times that by 2, which equals 32. There are four cups in one quart so times 4 by 4 which is 16 and add to 32. 16 + 32 = 48
Two cups in a pint so add 2 to 48 which is 50
Answer:
You will get 25 cups if you mix 2 gallons, 4 quarts, and 1 pint.
Step-by-step explanation:
To convert between gallons, quarts, and pints, we need to use the following conversions:
1 gallon = 4 quarts
1 quart = 2 pints
Here's the step-by-step process to convert the given volume to cups:
Convert gallons to quarts: 2 gallons * 4 quarts/gallon = 8 quarts
Add the number of quarts from step 1 to the number of quarts given: 8 quarts + 4 quarts = 12 quarts
Convert pints to quarts: 1 pint * 1 quart/2 pints = 0.5 quarts
Add the number of quarts from step 3 to the number of quarts from step 2: 12 quarts + 0.5 quarts = 12.5 quarts
Convert quarts to cups: 12.5 quarts * 2 cups/quart = 25 cups
Therefore, you will get 25 cups if you mix 2 gallons, 4 quarts, and 1 pint.
< Question 4, 1.2.23 >
points
O Points: 0 of 1
Use the method of successive differences to determine the next number in the given sequence.
7; 35; 173; 771; 2529; 6667; 15,095
Assuming that the pattern continues, the eighth term would be
Answers
The pattern does not have a consistency to get the differences
How to find the patternThe method of successive differences involves finding the difference between each consecutive term in a sequence, and then using those differences to find the next term.
Here's how the method would work for the sequence given:
7; 35; 173; 771; 2529; 6667; 15,095
Difference between terms:
28; 138; 598; 1758; 4138; 8428
Second difference between terms:
110; 460; 1160; 2380; 4290
Third difference between terms:
350; 700; 1220; 1910
Fourth difference between terms:
350; 520; 690
There is no consistency between the patterns.
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Find the number of solutions for the given equation for 0° ≤ θ ≤ 360°.
sin2x - 2sinx - 3 = 0
1
2
3
4
0
Answers
The number of solutions to the trigonometric equation is; 1 solution which is x = 270°
How to find the trigonometric solution?The trigonometric equation is given as;
sin²x - 2sin x - 3 = 0
Now, factorizing this gives us;
(sin x - 3)(sin x + 1) = 0
Thus, we now have;
sin x - 3 = 0
sin x = 3
At this point, x has no real solution
For the second factor, we have;
sin x + 1 = 0
sin x = -1
x = sin⁻¹ -1
x = 270°
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The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Answers
Box plot, because the median can easily be determined from the large set of data.
What exactly is a median?
The median is defined as the value in the centre of a given set of numbers or statistics. There are three main measures in mathematics that are used to calculate the average value for a given group of integers. They are the mean, the median, and the mode. These three indicators are known as central tendency measures. Mean computes the average value of the provided data. A median defines the midway value of the provided data. Mode defines the repeating value of the input data.
Now,
As, A box plot is a very visual means of displaying a concise overview of one or more sets of data. It is especially handy for quickly summarising and comparing several sets of findings from various trials. A box plot, at a glance, gives a graphical representation of the distribution of findings as well as indicators of symmetry within the data.
and it can handle a large set of data.
Hence,
Box plot, because the median can easily be determined from the large set of data.
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Answer:box plots
Step-by-step explanation:
i did it
A sign in the shape of a circle has a radius of 15 cm. What is the area of the sign? Use 3.14 for pi.
Answers
Answer:
The area of the sign is 706.5 cm^2.
Step-by-step explanation:
We know,
The formula of area of a circle,
A = πr^26
Here A is area and r is radius.
Here we have radius is 15 cm, so we can put the values in the above equation and find the area,
A = π * 15^2
A = 3.14 * 225
A = 706.5
The area of the sign is 706.5 cm^2.
I need help solving part b)
Answers
The answers to the questions are:
a) P(A|B) = 1/3
b) P(B|A) = 1.15
c) A. A student given a $1 bill is more likely to have kept the money.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Because the probability of 0.659 is almost two times greater than 0.341
Assuming the following table:
Purchased Gum Kept the Money Total
Students Given 4 Quarters 25 19 44
Students Given $1 Bill 13 26 39
Total 38 45 83
a. find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.
For this case let's define the following events
B= "student was given $1 Bill"
A="The student spent the money"
For this case we want this conditional probability:
P(A|B) = P(A And B) / P(B)
We have that
P(A) = 38/83, P(B) = 39/83
P(A And B) = 13/83
And if we replace we got:
P(A|B) = (13/83)/(45/83) = 13/39 = 1/3
b. find the probability of randomly selecting a student who kept the money, given that the student was given a $1 bill.
For this case let's define the following events
B= "student was given a $1 Bill"
A="The student kept the money"
P(A|B) = P(A And B) / P(B)
We have that
P(A) = 45/83, P(B) = 39/83
P(A And B) = 26/83
And if we replace we got:
P(B|A) = (45/83)/(39/83) = 45/39 = 1.15
c. what do the preceding results suggest?
For this case the best solution is:
A. A student given a $1 bill is more likely to have kept the money.
Because the probability of 0.659 is almost two times greater than 0.341
Hence, The answers to the questions are:
a) P(A|B) = 1/3
b) P(B|A) = 1.15
c) A. A student given a $1 bill is more likely to have kept the money.
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PLEASE I NEED HELP ASAP
A circle has a circumference of 21.98 inches. What is the diameter of the circle? (Use
3.14 for )
Answers
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is C = 2 * π * r, where r is the radius of the circle. We can find the radius of the circle by rearranging the formula to r = C / (2 * π).
Substituting the given values into the formula, we get:
r = 21.98 inches / (2 * 3.14) = 21.98 inches / 6.28 = 3.50 inches
The diameter of the circle is equal to twice the radius, so we can find the diameter by multiplying the radius by 2:
d = 2 * r = 2 * 3.50 inches = 7.00 inches.
To find the diameter of a circle with a given circumference, you can use the following steps:
Define the formula for the circumference of a circle: The circumference of a circle is given by the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
Substitute the given circumference into the formula: If the circumference of the circle is 21.98 inches, we can substitute that into the formula to get 21.98 = 2πr.
Solve for the radius: To solve for the radius, we can divide both sides of the equation by 2π: 21.98 / 2π = r. Using 3.14 for π, this gives us 21.98 / (2 * 3.14) = r, which can be simplified to r = 2.01 inches.
Calculate the diameter: The diameter of a circle is twice the radius, so the diameter can be calculated as 2 * r = 2 * 2.01 = 4.02 inches.
So, the diameter of the circle with a circumference of 21.98 inches is 4.02 inches.
