Answers
The circumference is 6 and the arc is 1.
This means that the arc is 1/6 of the circumference.
A full circle is 360 degrees, since the arc is 1/6 of the circle, the central angle would be 1/6 of 360.
360 x 1/6 = 60
The central angle is 60 degrees.
Related Questions
Boris is ordering supplies for his company. He ordered 20 boxes of pencils and 32 boxes of pens. What is the ratio of boxes of pens ordered to boxes of pencils ordered?
A.
1:20
B.
5:8
C.
20:1
D.
8:5
Answers
Answer:
8:5
Step-by-step explanation:
32:20
8:5
What is the value of angle x rounded to the nearest whole number
Answers
Answer:
x ≈ 42°
Step-by-step explanation:
Label the vertices of the quadrilateral shown at the upper left in you diagram A, B, C, and D, starting at the lower left. Label the center point X. Then the red line is CX and the lower two line segments are CD and DA. (A, C, D, and X are not coplanar.)
Angle D of triangle ACD is the interior angle of a regular pentagon, so measures 108°. That means angle ACD measures (180° -108°)/2 = 36°. If we label the midpoint of segment AC point Y, then the length of segment CY is ...
CY = CD·cos(36°)
Now triangle BCD is an equilateral triangle, so segment CX will have a length corresponding to the altitude of that triangle, CD·√3/2. Shifting our focus to the triangle AXC, we find that angle XCY will satisfy the relation ...
cos(XCY) = CY/CX = CD·cos(36°)/(CD·√3/2) = (2/)√3·cos(36°)
Angle x is the exterior angle of triangle AXC that is opposite the two equal interior angles XCY and XAY. Hence its value is double that of angle XCY.
angle x = 2·arccos((2/√3)·cos(36°)) ≈ 2·20.905° ≈ 41.81°
angle x ≈ 42°
_____
Comment on the angle
The icosahedron is the only Platonic solid with a dihedral angle more than 120°. It is about 138.19°, the supplement to angle x.
Comment on point labels
It may help to label the points in the 3-d version of the figure. Then you can see that segment AC is a line through the interior space of the icosahedron.
point R has coordinates (a,b) the point is reflected across the x-axis and then translated 5 points to the right to create point S . Create an expression that represents the y-coordinate of S
Answers
Answer:
-b + 5
Step-by-step explanation:
translation
Final answer:
The y-coordinate of point S after reflection across the x-axis and translation is -b, as reflection across the x-axis changes the sign and translation to the right does not affect the y-coordinate.
Explanation:
The student is asking to find the y-coordinate of a point S after a reflection across the x-axis and a translation 5 points to the right of a point R with coordinates (a,b).
The reflection of the y-coordinate across the x-axis changes its sign, so the reflected y-coordinate of point R would be -b. Translating a point to the right does not affect the y-coordinate, so the y-coordinate of point S would remain -b after this translation. Therefore, the expression that represents the y-coordinate of S is simply -b.
A bag contains 5 red,4 green, and 3 blue marbles. What is the probability of randomly selecting a blue marble, replacing it in the bag, and then randomly selecting a red marble A. 1/48 B. 1/12 C.5/48 D.5/12
Answers
There are 12 marbles in the bag total. 3/12, or 1/4 marbles are blue. 5/12 marbles are red.
Multiply these two probabilities together to get 5/48. There’s the answer.
Please consider marking this answer as Brainliest to help me advance.
Answer:
c 5/48
Step-by-step explanation:
Which expressions are equivalent to (a^2-16(a+4)? Select the three equivalent expressions
A.) a^3-64
B.) (a-4)^3
C.) (a+4)^3
D.) (a+4)^2(a-4)
E.) (a-4)^2(a+4)
F.) [(a)^2-(4^2)](a+4)
G.) (a-4)(a+4)(a+4)
Answers
Answer:
F
Step-by-step explanation:
Final answer:
The three equivalent expressions to (a^2-16(a+4)) are: (a-4)^3, (a+4)^2(a-4), and (a-4)(a+4)(a+4).
Explanation:
The expression (a^2-16(a+4)) can be simplified by expanding the terms and combining like terms. First, apply the distributive property by multiplying -16 by (a+4), giving -16a-64. Then, multiply a^2 by -16 to get -16a^2. Finally, combine like terms to get -16a^2 - 16a - 64.
Therefore, the three equivalent expressions to (a^2-16(a+4)) are:
(a-4)^3
(a+4)^2(a-4)
(a-4)(a+4)(a+4)
If y varies inversely with x and y=8 when x=40, what is the constant of variation
Answers
Answer:
Step-by-step explanation:
Inverse Variation. Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10.
4. The MAD of a set of six data values is 10. The mean is 20. What could the data values be? Show that the mean is 20 and the MAD is 20.
Answers
Answer:
15
Step-by-step explanation:
The data values could be 10, 10, 10, 25, 25, 40.
What is mean Absolute Deviation?Mean absolute deviation is defined as the average value of the absolute deviations from the mean.
Given that,
Mean absolute deviation of a set of 6 data values = 10
Let x1, x2, x3, x4, x5 and x6 be the data values.
Mean = 20
x1 + x2 + x3 + x4 + x5 + x6 / 6 = 20
x1 + x2 + x3 + x4 + x5 + x6 = 120
Also we have mean absolute deviation = 10
Data values could be 10, 10, 10, 25, 25, 40.
Mean = 20 and MAD = 10
Hence the data values could be 10, 10, 10, 25, 25, 40.
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A survey found that 78% of high school freshmen have internet acess at home. Of the 754 freshmen at one high school , about how many would be expected to have internet acess at home? SHOW WORK AND EXPLAIN! The person who does show work will be marked as brainliest.
Answers
Multiply the total number of freshman by the percentage:
754 x 0.78 = 588.12
Since you cant have 0.12 of a person, round up to 589 people.
Approximately 589 of the freshmen at the high school would be expected to have internet access at home.
We are given that 78% of high school freshmen have internet access at home. This percentage can be expressed as a fraction or a decimal for calculation purposes. In this case, we will use the decimal form, which is 0.78.
The total number of freshmen at the high school is given as 754.
To find the number of freshmen with internet access, we multiply the total number of freshmen by the percentage (in decimal form) that represents those with internet access.
The calculation is as follows:
Number of freshmen with internet access = Total number of freshmen × Percentage with internet access
Number of freshmen with internet access = 754 × 0.78
Performing the multiplication:
Number of freshmen with internet access = 588.92
In conclusion, about 589 of the 754 freshmen at the high school would be expected to have internet access at home.
Variables are usually written as ......- case letters.
Answers
Answer: Variables are usually written in lower-case letters.
Step-by-step explanation:
For example, it's "9x +10" not "9X +10"
Meg buys 12 bags of sunflower seeds. Each bag has 58 seeds. How many seeds dose meg have??
Answers
Answer: 696
Step-by-step explanation:
58 times 12
Answer:
696 seeds
Step-by-step explanation:
12*58
Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.
Answers
Answer:
5+√97/4
Also 5-√97/4
Step-by-step explanation:
The Quadratic formula is x=-b+-√b^2-4ac/2a
This means that we should plug the values for A B AND C into the formula
We can work out that
A = 2
B=-5
C=-9
Once we have put these into the formula we get
5+√97/4 (all over 4) aka 3.71
Also 5-√97/4 (all over 4) aka -1.21
Answer:
[tex]\large\boxed{x=\dfrac{5-\sqrt{97}}{4}\ or\ x=\dfrac{5+\sqrt{97}}{4}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ ax^2+bx+c=0\\\\\text{The quadratic formula:}\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{If}\ \Delta=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ \Delta<0,\ \text{then the equation has no solution}\\==================================[/tex]
[tex]\text{The equation}\ 2x^2-5x-9=0\\\\a=2,\ b=-5,\ c=-9\\\\\Delta=(-5)^2-4(2)(-9)=25+72=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x_1=\dfrac{-(-5)-\sqrt{97}}{2(2)}=\dfrac{5-\sqrt{97}}{4}\\\\x_2=\dfrac{-(-5)+\sqrt{97}}{2(2)}=\dfrac{5+\sqrt{97}}{4}[/tex]
What is the interquartile range of this data?
6
7
8
9
Answers
8 because the begging of the box is 8 away from the end of the box
Answer:
C.8 mark me as the best
Step-by-step explanation:
The selling price of an item is $390. After 6 months of not selling, it is marked down by 10%. After another 6 months of not selling, it is further marked down by 30%. Find the sale price after both markdowns. Round to nearest dollar.
Answers
Answer:
$246
Step-by-step explanation:
The price of the product is $390, after 6 months the price is marked down by 10% which is $39 so the total will be $351. After another 6 months the price is marked down again by 30%, which is $105 and 3 cents ($105.3). For a total of $245 and 7 cents ($245.7). To round the number you only need to look at the number after the decimal which is 7 in this case. Any number bellow 5 counting 5 in it, will stay the same number, any number above 5 without counting 5 will be the next number. So $245.7 rounded to the nearest dollar will be $246.
Hope it was helpful ^^ <3
Good Luck
Which quadrilateral can have 2 pairs of parallel sides, all sides with equal length, and no right angles.
Answers
Final answer:
The quadrilateral with two pairs of parallel sides, equal side lengths, and no right angles is a rhombus. It can be thought of as a 'pushed over' square without right angles.
Explanation:
The student is asking about a type of quadrilateral that meets certain criteria: it has two pairs of parallel sides, all sides are of equal length, and it has no right angles. A rectangle is a quadrilateral with four right angles, hence it does not meet the criteria since the question specifies no right angles. Considering the traits listed, the quadrilateral in question is a rhombus. A rhombus has all sides of equal length and two pairs of parallel sides, but unlike a square, it does not necessarily have right angles. To visualize, we can think of a 'pushed over' square – if the angles are all acute or obtuse rather than right angles, it qualifies as a rhombus.
Describe the correlation.
A. no correlation
B. prime correlation
C. positive correlation
D. negative correlation
Answers
Answer:
the answer is D because their are 2 points that collide
Step-by-step explanation:
that's why I chose the answer d
Correlation in statistics is the relationship between two variables that can be positive, negative, or non-existent. Positive correlation means both variables move in the same direction, while negative correlation means they move in opposite directions. 'Prime correlation' is not a recognized term in statistics.
Explanation:In statistics, the term correlation refers to the statistical relationship between two variables. A correlation can be positive, negative, or there might be no correlation.
No correlation implies that there is no noticeable relationship between two variables. If one variable changes, we can't predict any specific change in the other.There is no such term as prime correlation in statistics. It might be a typo or unrelated to the concept of correlation.A positive correlation signifies that as one variable increases, the other does too. Similarly, if one variable decreases, the other follows. An example could be the more hours one studies, the better their exam performance.A negative correlation means that as one variable increases, the other decreases. For instance, the more time one spends watching TV, the lower their productivity might be.Learn more about Correlation here:https://brainly.com/question/36761554
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{20, 30, 40, 50, 60, 70, 80} The mean of this set of numbers is A) 20 B) 50 C) 55 D) 60
Answers
Answer:
50
Step-by-step explanation:
Adding up 20, 30, 40, 50, 60, 70, 80, we get 350. There are 7 numbers in this set, so divide this 350 by 7. We obtain the mean, 350/7 = 50 (Answer B)
Answer:
Your answer would be: B) 50
To find the mean, you add all the numbers in the data set and divide them by how many numbers there are, which in this case it is 7.
Find the area of the polygon defined by the coordinates (0, -5), (-5, 0), (-15, -20), and (-20, -15). A) 90 square units B) 110 square units C) 130 square units D) 150 square units
Answers
Answer: E. 150 square units.
Step-by-step explanation:A polygon is figure with at least 3 straight or definite sides or typically 5 or more straight sides.
Here the polygon we are given is a rectangle.
We know that,
Area of a rectangle = l x w
so we need to measure the length and width of the rectangle to find its area.
If we look closely, we can see the length of the rectangle above the x-axis is 8 units and the length below the x-axis 7 units which makes a total og 15 units.
Answer:
D) 150 square units
Step-by-step explanation:
Use the distance formula: d = (x2 - x1)2 + (y2 - y1)2
A = L x W = 15/-2x 5/-2
= 150
Help with Algebra! Completing the square!
Answers
If positive, the parabola opens up and has a minimum.
If negative, the parabola opens down and has a maximum.
A. To find the vertex (in this case maximum),
Graph the equation -OR—
make a table. — OR—
Find the zeroes and find the middle x-value
-2x^2 - 4x + 6
-2(x^2 +2x - 3 = 0
-2 (x - 1) ( x + 3)=0
x - 1 = 0. x + 3 = 0
x = 1. x = -3. So halfway would be at (-1, __).
Sub in -1 into original equation -2x^2 -4x + 6 … -2(-1)^2 -4(-1) + 6 = -2 +4 +6 = 8
So the vertex is (-1,8)
Answer:
Part a:[tex]f(x)=-2(x+1)^2+8[/tex]
Part b: Maximum value
Step-by-step explanation:
Part a.
The given function is [tex]f(x)=-2x^2-4x+6[/tex].
We need to complete the square to obtain the vertex form
[tex]f(x)=-2(x^2+2x)+6[/tex]
Add and subtract the square of half the coefficient of x.
[tex]f(x)=-2(x^2+2x+(1)^2)--2(1)^2+6[/tex]
[tex]f(x)=-2(x^2+2x+1)+2+6[/tex]
The quadratic trinomial within the parenthesis is now a perfect square
[tex]f(x)=-2(x+1)^2+8[/tex]
The vertex form is [tex]f(x)=-2(x+1)^2+8[/tex]
Part b
Comparing [tex]f(x)=-2(x+1)^2+8[/tex] to [tex]f(x)=a(x-h)^2+k[/tex], we have a=-2.
Since a is negative the vertex is a maximum point.
Hence the function has a maximum value
How do I determine the slope of the line using a graph
Answers
It's hard to explain, but theres a trick to it too.
The polynomial function f(x)= 5x^5 + 16/5x -3 is graphed below. Which is a potential rational root of f(x) at point P ?
Answers
The root at point P may be [tex] \frac{3}{5} [/tex]
EXPLANATION
The given function is
[tex]f(x) = 5 {x}^{5} + \frac{16}{5} x - 3[/tex]
The potential rational roots are all factors of -3 expressed over all factors of 5.
These are:
[tex] \pm \frac{1}{5} , \pm \frac{3}{5} [/tex]
Since the root of f(x) at P is closer to 1 that zero and it is positive , that potential may be [tex] \frac{3}{5} [/tex]
Answer: (A) The root at point P may be .
Step-by-step explanation:edge2022
2....evaluateeeeeeeeeeee
Answers
Answer:
Choice B is correct
Step-by-step explanation:
We apply the rule of exponents;
[tex]a^{-b}=\frac{1}{a^{b}}[/tex]
[tex]7^{-2}=\frac{1}{7^{2}}=\frac{1}{49}[/tex]
What is the additive inverse of the complex number 13-2
Answers
Answer:
-13 + j*2
Step-by-step explanation:
The additive inverse of a complex number x = a +j*b
is a number y, such that
x + y = 0
This means that
y = -x = - a - j*b
Therefore
The additive inverse of 13 - j*2 is equal to
-(13 - j*2) = -13 +j*2
I don’t know how to do this problem and need help getting answer?
Answers
Hi!!! So to do this problem, you need to find the mean values for each sample. I will walk you through finding the mean of sample 1: first you want to add all of the values for sample 1, which are 4,5,2,4 and 3. Once you add those values you get 18. Then you must divide that 18 by the number of terms you added. The numbers you added were 4,5,2,4 and 3 like I said earlier which is 5 numbers. You divide 18 by 5 to get your mean, which is 3.6
Answer: (B) Sample 2
sample 1 mean = 3.6
sample 2 mean = 4.2
sample 3 mean = 3.8
sample 4 mean = 4
What is the steps in to solving this
Answers
[tex] \sqrt{(12 - 7) {}^{2} + (10 + 2) {}^{2} } [/tex]
[tex] \sqrt{25 + 144} [/tex]
[tex] \sqrt{169} [/tex]
[tex]13[/tex]
if you borrow $400 for 2 years at an annual interest rate of 15%, how much will u pay altogether?
Answers
Answer:
$520
Step-by-step explanation:
We first find the interest;
400*2*15/100=4*2*15
=$120
Total=$120+$400
=$520
Answer:520
Step-by-step explanation:
above correct
The graph of a quadratic equation always has an extreme location (maximum or minimum). State whether the parabola opens upward or downward, whether it has a maximum or a minimum, and what the coordinates of that point are. Use the pointer tool to approximate the coordinates of this extreme location to the nearest whole number.
Answers
The graph of a quadratic equation (a parabola) opens upwards or downwards depending on whether the coefficient of the x^2 term is positive or negative, respectively. The vertex of the parabola corresponds to the function's extreme point (maximum or minimum), and its coordinates are calculable with the formula (-b/2a, f(-b/2a)).
Explanation:The graph of a quadratic equation, otherwise known as a parabola, opens upwards if the coefficient of the x^2 term is positive and opens downwards if it is negative. The maximum or minimum point of the parabola is known as the vertex. In a standard form quadratic equation y = ax^2 + bx + c, the coordinates of the vertex are given by the equation (-b/2a, f(-b/2a)).
If the parabola opens upwards (positive coefficient of x^2), it will have a minimum point at the vertex. The y-coordinate of this point is the minimum value of the function.If the parabola opens downwards (negative coefficient of x^2), it will have a maximum point at the vertex. The y-coordinate of this point is the maximum value of the function.
So for example, for the quadratic equation y = 2x^2 + 3x + 1, the parabola would open upwards, and the vertex would be at (-3/4, f(-3/4)), which would be the minimum point of the parabola.
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Help me pls I need help and I need the answer
Answers
Really hope this sums it up so it’s easier to choose!
Answer:F
Step-by-step explanation:
Due to the fact the ratio is 14 to 6, 14 to 6 is basically close to 3/4.
What conditional statement is represented by the Venn diagram below
Answers
Answer:
D
Step-by-step explanation:
It's one of each or not both tho:)
Answer:
Option C. is the correct answer.
Step-by-step explanation:
Since in the given Venn diagram "Blue circle" is contained in a "purple circle".
Blue circle represents Equilateral triangles and purple color circle represents isosceles triangle.
Since by this Venn diagram, equilateral triangles are contained in isosceles triangle then we can conclude that all equilateral triangles are isosceles triangle.
Therefore, option C. if shape is an equilateral triangle, then it is an isosceles triangle is true.
Please help. I don’t know which one is right.
Answers
If a man weighs 198 pounds on earth, his mass on earth is 90 kilograms. If you can answer A & B
Answers
It is 5892 and i know it has to be or I guess I am wrong (i don’t care) hahahaha