To solve for the measure of the central angle (x) in the arc length formula, rearrange the formula such that [tex]x = (L/2\pi r) * 360.[/tex] This method allows you to determine the degree measure of the arc once you know the arc length (L) and the radius (r) of the circle.
Explanation:Given that the formula for finding the length of an arc in a circle is [tex]L=2\pi r(x/360)[/tex], you can solve for x if L and r are known. In this formula, r stands for the radius of the circle and x represents the measure of the central angle of the arc in degrees. So, to isolate x, you would need to rearrange the formula, giving us: [tex]x = (L/2\pi r) * 360.[/tex]
This effectively means that the degree measure of the arc (x) is equivalent to the ratio of the arc length to the circumference (which is 2πr) times 360 degrees.
For instance, let's consider a circle where r=5 and the arc length L has a value of 10 units. We would substitute these values into our newly rearranged formula thus: [tex]x = (10/2\pi *5) * 360 = 36[/tex] degrees. This tells us that the central angle for this particular arc on a circle with a radius of 5 units is 36 degrees.
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The measure of an angle is 79°. what is the measure of a supplementary angle?
Hence, the supplement angle is [tex]101[/tex] degree.
What are the angles?
Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.
The point at which the two rays meet (intersect) is called the vertex.
Here given that,
The measure of an angle is [tex]79[/tex] degree.
Let the supplement angle is [tex]x[/tex]
As we know that the supplement of an angle is [tex]180-x[/tex].
[tex]180-x=180-79[/tex]
[tex]=101[/tex] degree.
Hence, the supplement angle is [tex]101[/tex] degree.
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Final answer:
The measure of a supplementary angle to one that measures 79° is 101°, since supplementary angles sum up to 180°.
Explanation:
If the measure of an angle is 79°, the measure of a supplementary angle can be found by subtracting this angle from the total degrees in a straight line. In other words, the sum of the measures of supplementary angles is 180°. Therefore, to find the measure of a supplementary angle when one angle measures 79°, we perform the following calculation:
180° - 79° = 101°
So, the measure of the supplementary angle is 101°.
which number line represents the solutions to |x+4|=2
How many subsets of exactly two elements does a set of five elements have?
A.10
B.26
C.7
D.32
Option: A is the correct answer.
A. 10
Step-by-step explanation:We know that the number of subsets of exactly ''r'' elements that is formed by the help of n elements is calculated by:
[tex]n_C_r[/tex]
Since here we have to chose 2 elements out of the 5 elements in order to form a subset.
Hence, we have: n=5 and r=2
Hence, the number of subsets are:
[tex]5_C_2=\dfrac{5!}{2!\times (5-2)!}\\\\\\5_C_2=\dfrac{5!}{3!\times 2!}\\\\\\5_C_2=10[/tex]
Hence, the number of subsets are:
10
Answer:
A. 10
Step-by-step explanation:
Can you add a whole number to a number with a variable
The table below shows the price of rolls at a bakery. A baker’s dozen includes 13 rolls for the price of a dozen rolls. How much money is saved by buying a baker’s dozen instead of 13 individual rolls?
Answer:
0.60
Step-by-step explanation:
hope this helps
Leo is roller-blading at a speed of 200 meters per minute. How long will it take him to roller-blade 1 km?
Answer:
5 min
Step-by-step explanation:
I’m Still stuck someone help ?!
angle y = arcos(2.25/6)
= 67.97 degrees
round to 68 degrees
68 is less than 75 so it is not safe to use
How to solve a multiplication problem with a variable?
Example Question: 6x + 4 = 22
The goal in this is to get the variable alone and these are the steps how to. What you have to do is subtract 4 from 4 so that you can get 6x alone. But when you subtract 4 from one side, you have to subtract 4 from the other side too which leaves us with 6x = 18. Now, we have to do the opposite of multiplication which is division. So we are going to do 6x divided by 6 and the two sixes cancel each other out. But remember, if you do something to one side you have to do it to the other as well. So we have to do 18/6 which leaves us with the answer.
x = 3
Belinda wants to buy 3 large boxes of oranges each box contains 4 bags of oranges and each bag has 10 oranges. How many oranges will she have?
11) Solve b = g + (t – 1)w for t. *
On this plzzzzz need help
Given points A(1, 3) and B (3, 7), which of the following represents the distance of AB
√116
√6
√14
√20
Rosa brought d drawings to an art show. After selling 15 of them she had 38 left. Identify the equation that situation and the correct solution
Answer:
The equation that identify the situation is:
d= x + y
d= 15+38
d= 53
She brought 53 drawings.
Step-by-step explanation:
We know that Rosa brought d numbers of drawings to an art show.
She sold 15 of them and she had 38 left.
The number d of drawings that she brought to an art show is:
d= x + y
Where:
d: number of drawings she brought
x: number of drawing she sold
y: number of drawings she had left
d= 15+38
d= 53
She brought 53 drawings.
A company designs a box to package their product. The material used costs $0.112 per square foot. The box consists of a square bottom and isosceles triangles making up the sides. A net of the box is shown below.
How much would the material for 10,000 boxes cost?
A box contains only red yellow and green jelly beans. The number of red jelly beans 4/5 of the number of green jelly beans 3/4 the number of yellow ones. If there are 470 beans in total, what's the probability of picking yellow?
Find the number of ways 4 members from a family of 5 can line up for a photo shoot?
Final answer:
There are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot. This is calculated using permutations, where the order of members matters, and is found by the formula 5! / (5-4)!.
Explanation:
To find the number of ways 4 members from a family of 5 can line up for a photo shoot, we use the concept of permutations since the order of arrangement matters.
In mathematics, the number of permutations for selecting r objects from a set of n objects is given by nPr, which is calculated as n! (n factorial) divided by (n-r)! (the factorial of the difference between n and r).
In this case, we want to arrange 4 out of 5 family members, so n = 5 and r = 4. The permutation formula gives us:
5P4 = 5! / (5-4)! = (5 × 4 × 3 × 2 × 1) / 1 = 120 ways.
Therefore, there are 120 different ways for 4 members out of a family of 5 to line up for a photo shoot.
Almira earns $50 an hour. How much does she earn in 6 hours? What’s the independent and dependent variables?
Find a Point-Slope equation for a line containing the given point and having the given slope. 1. (-4, 3), m = -12 2. (-15, 6), m = -3 3. (5, -2), m = -7 4. (3, -5), m = -2 5. (6, -2), m = -5 6. (-5, -2), m = -4 7. (7, 0), m = -3 8. (0, 9), m = -5 9. (5, 1), m = -10
Find the unit price of ketchup c, which sells for $2.49 per 36 oz. bottle
A cube with a volume of 64 cubic meters is scaled by a factor of .5 what is the volume of the modified cube in cubic meters/7472968/c841b5e8?utm_source=registration
Answer:
8000 is correct answer
Step-by-step explanation:
: In order to solve the inequality -1/4 x > 8, which of the following steps must be done?
1.divide by -4 and keep the inequality symbol
2.divide by -4 and flip the inequality symbol
3.multiply by -4 and keep the inequality symbol
4.multiply by -4 and flip the inequality symbol
Multiply by -4 and flip the inequality symbol. The correct option is D.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Here are the steps to solve the whole equation of -1/4x > 8:
Simplify the fraction to x/4
Multiply both sides by 4
Multiply 8 x 4 so it can be 32
Multiply both sides by -1
The value of x is less than -32.
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PLEASE ANSWER QUICK
Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. What was the approximate percent error? Show your work to find the percent error. (2 points)
In a soccer league the ratio of boys to girls is 4 to 6, there are a total of 50 players in the soccer league how many girls play in the soccer league
Answer:
Number of girls = (6 / 10)* 50 = 6*5 = 30
so there are 30 girls in the soccer league.
Step-by-step explanation:
Chloe draws three parallelograms. In each figure, she measures a pair of angles, as shown.
What is a reasonable conjecture for Chloe to make by recognizing a pattern and using inductive reasoning?
In a parallelogram, all angles are supplementary.
In a parallelogram, consecutive angles are supplementary.
In a parallelogram, consecutive angles are congruent.
In a parallelogram, all angles are congruent
Three parallelograms. The angles of the first parallelogram are 35 degrees and 145 degrees. The angles of the second parallelogram are 38 degrees and 142 degrees. The angles of the third parallelogram are 51 degrees and 129 degrees.
Evaluate 4x3 + 2 for x = -1.
-62
-10
-6
-2
replace x with -1
4(-1)^3 +2 =
4*-1 +2
= -4 +2 = -2
answer is -2
A vendor sells hot dogs and bags of potato chips. a customer buys 2 hot dogs and 2 bags of potato chips for $6.50. another customer buys 5 hot dogs and 3 bags of potato chips for $14.25. find the cost of each item.
Marta believes that the equation of the line of best fit for the scatterplot below is y=-5/9x+23/9. Which statement best summarizes why Marta is likely incorrect?
Marta’s equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
Marta’s equation has a positive y-intercept, but the scatterplot shows a negative correlation.
Marta’s equation has a negative slope, but the scatterplot suggests a negative y-intercept.
Marta’s equation has a negative slope, but the scatterplot shows a positive correlation.
The correct option is a.
Marta is likely incorrect because her equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept.
Explanation:Marta is likely incorrect because her equation has a positive y-intercept, but the scatterplot suggests a negative y-intercept. The y-intercept is the value of y when x equals zero, so if the scatterplot shows a negative y-intercept, it means that when x is zero, y is negative. However, Marta's equation predicts a positive y value when x is zero, which contradicts the scatterplot.
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please help quick im offering 10pts and brainliest answer
Can an octagon have angles that measure 140, 120, 50, 95, 105, 100, 80 and 150
How many quarters have the same value as 85 dimes?