The radius of circle is 47 yards.
What is Circumference of circle?The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.
The radius of the circle is considered when applying the formula to determine the circumference of the circle. Therefore, in order to calculate the circle's perimeter, we need to know the radius or diameter value.
Given:
Circumference of circle= 295.16 yards
Now,
circumference of circle= 2πr
295.16= 2 x 3.14 x r
295.16 = 6.28 x r
r = 295.16/ 6.28
r = 47 yards.
Hence, the radius of circle is 47 yards.
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PLZ PLZ HELP
Which graph represents the solution set of the system of inequalities?
{y<2/3xy≥−x+2
It is the third one on the graph.
Answer:
it was the 3rd one. i took the test :)
40% of a 12,000 acre forest is being logged how many acres will be logged
Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., averaging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?
Answer 1061
Step-by-step explanation:
Answer:
At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.
Step-by-step explanation:
To solve this problem, I add a picture of the situation.
We know that speed is distance over time ⇒
[tex]Speed=\frac{distance}{time}[/tex] (I)
The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.
In order to know the measures of the sides, we are going to calculate them using the equation (I)
Plane A leaves Tulsa at 2:00 p.m.
Therefore, at 5:00 p.m. it will have flown 3 hours ⇒
[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒
[tex]distance=(300\frac{mi}{h}).(3h)[/tex]
[tex]distance=900mi[/tex]
At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi
Plane B leaves Tulsa at 2:30 p.m.
Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒
[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]
[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]
[tex]distance=562.5mi[/tex]
At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi
Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :
[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]
[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]
[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]
[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]
[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]
At 5:00 p.m. the planes will be 1061.323 miles apart.
Which expression represents the phrase "half the sum of 10 and a number"
i know this is very late but for future people its
1/2 (10 + x)
What is the answer for this problem
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Answer:
It's option
A) the term...
C) after multiplying
D) the parentheses
Step-by-step explanation:
EDG2021
To which set of numbers does the number -12 belong?
A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet? PLEASEEE HELP
(01.02) given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. the boat sold for how much?
Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
falls with a constant speed of -10 m/s.
falls with a acceleration of -10 m/s/s
falls under the sole influence of gravity
falls with downward acceleration which has a constant magnitude
The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.
In order to the determine which of the statements is NOT true, we will study each of the options one after the other.
For the first option - "falls with a constant speed of -10 m/s"When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.
∴ The first option is NOT true
For the second option - "falls with a acceleration of -10 m/s/s"An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).
Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).
∴The second option is true
For the third option - falls under the sole influence of gravityAs stated earlier, an object in a state of free fall, falls under the influence of gravity.
∴ The third option is true
For the fourth option - "falls with downward acceleration which has a constant magnitude"
As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.
∴ The fourth option is true
Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s
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Gretchen and Ezia received equal scores on a test made up of multiple choice questions and an essay. Gretchen got 18 multiple choice questions correct and received 19 points for her essay. Ezia got 15 multiple choice questions correct and received 31 points for her essay.
How many points was each multiple choice question worth?
Enter your answer in the box.
If cot= 2/3 what is the value of Csc
There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
each team plays 9 games
( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )
9 x 4 = 36 games total
NEED HELP ASAP!!!!!!!
Solve the equation.
e² = 0.36
Enter your answer in the box.
e = ±
Answer:
0.6
Step-by-step explanation:
took the test
You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once. you tell the cashier to surprise you with the toppings you get. what is the probability that you get 2 toppings? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of getting 2 toppings on the hamburger is 1/28 or approximately 0.0357.
Explanation:To calculate the probability of getting exactly 2 toppings on your hamburger, we need to consider the total number of possible combinations of toppings and the number of ways to choose 2 toppings out of those combinations.
There are 8 toppings in total, so the total number of possible combinations is 8 choose 2, which is calculated as 8! / (2! * (8-2)!), or 28.
Since you want exactly 2 toppings, the probability is the number of ways to choose 2 toppings out of the total combinations divided by the total number of possible combinations, which is 1/28 or approximately 0.0357 (rounded to four decimal places).
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How can I evaluate this question?
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.
y=15 when x=6
To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.
Explanation:To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:
15 = k * 6
To find the value of k, we divide both sides by 6:
k = 15/6 = 2.5
Now we can write the direct variation equation that relates x and y:
y = 2.5x
To find the value of y when x = 7, we substitute x = 7 into the equation:
y = 2.5 * 7 = 17.5
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$250 is discounted into $212.50 what is the percent decrease
Convert 9.46 x 10^12 to expanded form
Logan has a change jar that contains only pennies and nickels. he has 64 coins which add up to a total of $1.52. how many of each type of coin does he have?
Complete the steps to the factor the tens. 30x40=( n x 10) x ( n x 10)=( n x n) x (10 x10)= n x 100 = n
PLEASE HELP?
Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She makes 5.5% straight commission on her total sales. What were her total week's sales, if her gross pay was $560?
A. $10,741.82
B. $3,640.00
C. $3,080.00
D. $10,181.82
Answer:
D
Step-by-step explanation:
If her pay is $560, her sales is "something" whose 5.5% is 560.
We can setup the equation below and solve (let total sales be [tex]s[/tex]):
[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]
Answer choice D is right.
I flip a fair coin four times what is the probability that i get more heads than tails
Find a point on the y-axis that is equidistant from the points (4, −4) and (1, 1).
Mrs marks has 3/4 pound of cheese to use making sandwiches she uses about 1/32 pound of cheese on each sandwich how many sandwiches can she make with the cheese she has?
What did the math teacher say after spending 8 hours in the ice and snow worksheet answer key?
what numbers are divisible by 7?
a.75 b.35 c.20 d.30
Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. find the measure of the largest angle in the triangle.
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. If two of the angles are the same, then we will call them x. The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39. In equation form,
x + x + x + 39 = 180 and
3x + 39 = 180 and
3x = 141 so
x = 47
That means that the largest angle measures 47 + 39 which is 86
Which trigonometric ratios are correct for triangle ABC? Check all that apply