Using π ≈ 3.14, the radius of a circle with circumference 28.3 m is approximately 4.5 meters.
Step 1:
Write down the formula for the circumference of a circle.
The formula for the circumference (C) of a circle is given by:
[tex]\[ C = 2 \pi r \][/tex]
Step 2:
Substitute the given value for the circumference into the formula.
Given [tex]\(C = 28.3\)[/tex] m, we use the approximation [tex]\(\pi \approx 3.14\)[/tex]:
[tex]\[ 28.3 = 2 \times 3.14 \times r \][/tex]
Step 3:
Solve for the radius (r).
Divide both sides of the equation by [tex]\(2 \times 3.14\)[/tex]:
[tex]\[ r = \frac{28.3}{2 \times 3.14} \][/tex]
Step 4:
Calculate the value of (r).
[tex]\[ r = \frac{28.3}{6.28} \][/tex]
[tex]\[ r \approx 4.5 \text{ m} \][/tex]
So, the radius of the circle with a circumference of 28.3 m, using the approximation [tex]\(\pi \approx 3.14\)[/tex], is approximately 4.5 meters.
You ride your bicycle at a rate of 10 mi/h. the distance d (in miles) that you ride is given by the function d=10t where t is the time in hours.
The function d = 10t signifies that you cover 10 miles of distance per hour.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
You ride your bicycle at a rate of 10 mi/h. the distance d (in miles) that you ride is given by the function d=10t.
We have the distance [d] as the function of time as -
d = 10t
The given equation id d = 10t. The slope of the line is 10. This means that you cover 10 miles of distance in 1 hour. The graph representing the function is plotted.
Therefore, the function signifies that you cover 10 miles of distance per hour.
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How many words of length over alphabet s contain exactly two distinct letters?
The english alphabet contains 2121 consonants and 55 vowels. How many strings of 66 lowercase letters of the English alphabet contain
a) exactly 1 vowelTranslate the sentence into an equation using n as the unknown number. Then solve the equation for n. Two times a number increased by 5 is 15. a. 2n(5) = 15 n = 1.5 c. 2n + 5 = 15 n = 20 b. 2n + 5=15 n = 5 d. n + 5 = 15 n = 10 Please select the best answer from the choices provided A B C D
How do you solve this 2 step equation: 8+b/-4=5
What is the solution to 89+k=-42
TheValue of a stock begins at $0.05/and increase by 0.01 each month write an equation representing the value of the stock v in any months m
The linear equation can be represented as a straight line on a graph. The equation for the given case is v = 0.05 + 0.01m.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Given that,
The value of stock at the beginning is $0.05,
And, its rate of increase for each month is 0.01.
Suppose the value of stock be v and the month be m,
Then, the increment in its value for any month m is $0.01m.
Now, the equation for the value of stock v at any month m can be written by summing its initial value to its increment value obtained for each month as,
v = 0.05 + 0.01m.
Hence, the equation representing the value of the stock v in any months m is given as v = 0.05 + 0.01m.
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how do you put 2.303,2.3,2.33 and 2.03 from least to greatest
The number can be arranged from least to greatest as 2.03<2.3<2.303<2.33.
What are decimal Numbers?A decimal is a number with a whole and a fractional portion. Decimal numbers are between integers and indicate numerical value for a whole plus some fraction of a whole. In fraction form, we may say there is one and one-half pizzas. This is represented in decimal form as 1.5 pizzas.
Let's write the numbers to the third decimal point. Therefore, we can write the numbers as,
2.303 = 2.3032.3 = 2.3002.33 = 2.3302.03 = 2.030Now, the numbers can be arranged as,
2.030 < 2.300 < 2.303 < 2.330
2.03 < 2.3 < 2.303 < 2.33
Hence, the number can be arranged from least to greatest as 2.03<2.3<2.303<2.33.
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The formula for the area of a triangle is A = bh, where b is the length of the base and h is the height. The equation solved for h is h = .
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
3 units
5 units
8 units
9 units
460=50+12m what does m stand for?
Line g bisects line segment BC at Point H. BH = 4x and HC = 24. Find BC.
Answer:
The length of BC is 48 units.
Step-by-step explanation:
Given information: Line g bisects line segment BC at Point H. BH = 4x and HC = 24.
It is given that line g bisects line segment BC at Point H. It means point H divides the line BC in two equal parts BH and HC.
[tex]BH=HC[/tex]
[tex]4x=24[/tex]
Divide both sides by 4.
[tex]x=6[/tex]
The value of x is 6.
[tex]BH=4x=6\times 4=24[/tex]
The length of BC is
[tex]BC=BH+HC[/tex] (Segment addition property)
[tex]BC=24+24=48[/tex]
Therefore the length of BC is 48 units.
Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?
Solve the quadratic equation by taking square roots. 3x2 − 4 = 28
Which line is perpendicular to 5x + 4y = 8?
A) 4y = –5x + 4
B) 5y = 4x + 5
C)5y = –4x –15
D)4y = 5x + 12
-3(y+4)=21
solve for y
show all work please , thank u
5x+6y=3x+2 in standard form
a-b+2c=7
b+c=1
a-2b-3c=0
Which statement best describes why the sale price is a function of the original price
Which one of the following is a perfect square A: 100, B:13, C:127, or D:102
The graph shows a rectangle that has been rotated. Which statement is FALSE?
If the perimeter of the rectangle is 28 cm, find the value(s) for x.
Slope is -2 and (5, 3) is on the line. What is the equation in slope intercept form?
Select a counter-example that makes the conclusion false.
You select three marbles from a bag and each of them is black.
Conclusion: All the marbles in the bag are black.
Counterexample:
A counterexample showing the conclusion 'All the marbles in the bag are black' as false.
A counterexample is a scenario where the premises are true but the conclusion is false, demonstrating the invalidity of an argument. In this case, to prove invalidity, a counterexample could be a situation where there is at least one marble in the bag that is not black. For instance, if there are three black marbles and one red marble inside the bag, the selection of three black marbles is still possible, but the conclusion that all marbles are black is false.
What is the measure of each of the following angles? If m
When the smaller of two consecutive integers is added to three three times the larger, the result is 23. find the integers?
The value of the integers can be obtained by solving the equation as 5 and 6 respectively.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Suppose the smaller integer be x.
Then, the larger one is x + 1.
As per the question, the following equation can be formed as,
x + 3(x + 1) = 23
⇒ 4x + 3 = 23
⇒ x = 5
Thus, the larger integer is 5 + 1 = 6.
Hence, the integers are obtained as 5 and 6 respectively.
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are these points correct??
Write an example of a linear equation with one variable and infinitely many solutions.
If the interior angle of a polygon is 170 how many sides does it have
if interior angle is 170, subtract 170 from 180 to find exterior angle:
180-170 = 10 = exterior angle
the sum of exterior angles is 360 so divide by exterior angle to find sides:
360 /10 = 36 sides
The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
A) n + 2n = 59; n = 19; 2n = 38
B) n + n + 1 = 59; n = 29; n + 1 = 28
C) n + n + 1 = 59; n = 30; n + 1 = 31
D) n + n + 1 = 59; n = 29; n + 1 = 30
Please explain your answer! : )
The sum of the interior angle measures of a convex polygon is 1440°. how many sides does it have?
Solve each proportion. Show your work.
a . 2x/7 = 12/14
b. 3/x-1 = 5/7