Answers
Answer:
x = 80
Step-by-step explanation:
The diagram shows that arc AB is 80 degrees, and the measure of an arc defined as being equal to the central angle(the minor angle of the arc). Because the arc AB is 80, the central angle x is 80 degrees as well. Although if point O wasn't at the center of the circle, x might not be 80.
Related Questions
Sketch a graph of the polynomial function f(x) =x^3+4x^2+3x. Use it to complete the following:
f is on the intervals (-00, -3) and (-1,0).
f is on the intervals (-00, -2 and (-0,5, 00).
Answers
The value of the function is zero at negative 3, negative 1, and zero. And the graph of the function is given below.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Sketch a graph of the polynomial function given below.
[tex]\rm f(x) =x^3+4x^2+3x[/tex]
Use it to complete the following:
Then the factor of the polynomial will be
f(x) = x³ + 4x² + 3x
f(x) = x(x² + 4x + 3)
f(x) = x(x² + 3x + x + 3)
f(x) = (x)(x + 3)(x + 1)
The graph of the function is given below.
Then the value of the function is positive in the interval of (-3, -1) and the value of the function is negative in the interval of (-1, 0)
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A local video store has two new renting plans. Plan A charges a $10 monthly fee and $2 for every movie rented. Plan B charges $40 per month but then each movie rented is only 25¢. How many movies must be rented in a month to make plan B the cheaper option?
Answers
Answer:
18 or 17
Step-by-step explanation:
Plan a= 2x + 10
plan b= .25x + 40
2x + 10 = .25 + 40
1.75x=30
x=17.14
Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graphically or algebraically
y=2x^2-6x+1
y=-x+1
Answers
We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).
What are equations?The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.
Now the solution of the equations:-
y=2x²-6x+1
y=-x+1
2x²-6x+1 = -x+1
2x²=5x
x=5/2=2.5
y=-2.5+1=-1.5
Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).
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Select True or False, for each statement.
1. Angle C has the same measure as angle C'.
2. Side CF is shorter than side C'F.
3. Trapezoid CDEF and trapezoid C'D'E'F' have the same perimeter.
true or false?
Answers
2 is true
3 is false
What kind of shape is this? O A. Quadrilateral B. Not a polygon O C, Triangle O D. Pentagon
Answers
Answer:
C
Step-by-step explanation: It has three sides
The area of a rectangular piano is 5 5/8 square yards, it's length is 1 1/2 yards. what's the patios width in yards.
pls show work
Answers
Answer:
3 3/4 yards
Step-by-step explanation:
The area of a rectangle can be found by multiplying length * width. Since we have the area of the patio and the length, all we need to do to find the width is divide 5 5/8 (area) / 1 1/2 (length) =3 3/4 yards (width).
To check if this is correct, we can solve 1 1/2 * 3 3/4 = 5 5/8 yards.
Hope this helps!
Dividing a decimal number that is ________ than 1 gives a quotient that is larger than the dividend.
Answers
Answer:
Suppose we want to divide 3 by 2.
By Long Division we first write 1 as the first digit as the quotient, then we subtract 2 from 3, then we add a zero to the remainder 1, and then add a decimal point after the quotient 1, then write 5 after the decimal point, getting the quotient as 1.5
I know it is indeed right as we can verify. But why do we add a zero and the decimal point in the quotient?
Thank you.
Answer:
less
Step-by-step explanation:
Dividing a decimal number that is less than 1 gives a quotient that is larger than the dividend.
For example :
Take 3/0.3 :
⇒ 3 / 0.3
⇒ 10
10 is greater than the dividend 3.
Length of the side of regular hexagon is a. The sum of all diagonals is:
Answers
Answer:
6a
Step-by-step explanation:
hexagon has 6 sides(im pretty sure lol), and 1 side is a. so 6 sides must be 6a
A ladder is leaning against a house at an angle of 35° at the roof line. The base of the ladder is 8 feet from the house. How long is the ladder to the nearest whole foot? Use a calculator if needed.
A. 27 feet
B.43 feet
C. 8 feet
D. 14 feet
E. 35 feet
Answers
Answer:
D
Step-by-step explanation:
Remark
What you are trying to solve for is the hypotenuse of a right triangle. You will use the sine to do it.
Givens
Base = 8 feet
angle = 35 degrees
hypotenuse = ?
Formula
Sin(35) = base / hypotenuse
Solution
Sin (35) = 8 / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * sin(35) = hypotenuse * 8/hypotenuse
hypotenuse * sin(35) = 8 Divide by sin(35)
hypotenuse = 8/sin(35) Substitute value of sin(35)
hypotenuse = 8 / 0.5736
hypotenuse = 13.94
Answer
The ladder is about 14 feet long or D
Estimate the difference of the decimals below by rounding to the nearest
whole number. Enter your answer in the space provided.
53.042
-3.350
————
Answers
Answer:
50
Step-by-step explanation:
53.042 -3.350 = 49.692---> 50
Answer:
50
Step-by-step explanation:
53.042 rounds down to 53
3.350 rounds down to 3
53
- 3
___
50
checking work:
53.042
- 3.350
————
49.692 (work below) which rounds up to 50
matches !
A car is on a spinning carnival ride with a radius of 25 ft. to the nearest foot, how far does the car travel over an angle of 2pi/3 radians?
Answers
The distance that the car travel over an angle of 2pi/3 radians is 52.3 feet
How to find the length of an arc.The formula for calculating the length of an arc is expressed as:
L = r theta
Given the following parameters
r is the radius. = 25ft
theta is the angle subtended = 2pi/3 radians
Substitute
L = 25 * 2pi/3
L = 50pi/3
L = 52.3 feet
Hence the distance that the car travel over an angle of 2pi/3 radians is 52.3 feet
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If w = 6 feet, x = 5 feet, y = 12 feet, and z = 8 feet, what is the area of the object?
A. 69 square feet
B. 60 square feet
C. 78 square feet
D. 39 square feet
PLSSS HELP!!!
Answers
Answer:
B. 60 square feet
Step-by-step explanation:
took a test and got it right
Answer:
A. 69 square feet
Step-by-step explanation:
add the area of the triangle on top to the
area of the rectangle below
y - w is the base of the triangle
12 - 6 = 6 is the base of the triangle
z - x = height of the triangle
8 - 5 = 3 = height of the triangle
6 times 3 divided by 2 = area of the triangle =
9
y times x is the area of the rectangle below
12 times 5 =
60 is the area of the rectangle below
add up both areas which =
69
I need help, pleasee
Answers
Answer:
Option B (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.) is the solution.
Step-by-step explanation:
Let's have a look at the image they've provided. (The identical picture is shown below. )
[tex]\left[\begin{array}{cc}2&8\\4&?\\5&20\end{array}\right][/tex]
Do you see a pattern here? Concentrate on the second row rather than the first. Both integers are multiplied by four, therefore 4 x 4 must be multiplied.
[tex]2 *4= 8\\5*4 = 20[/tex]
This indicates that option B is the right response. (Lucy says to multiply 4 x 4 = 16 because 2 x 4 = 8.)
Hope this helps! :D
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an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
Answers
Answer:
20° and 70°
Step-by-step explanation:
complimentary angle sum to 90°
let x be the compliment then the angle is 3x + 10 , so
x + 3x + 10 = 90 , that is
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
3x + 10 = 3(20) + 10 = 60 + 10 = 70
the 2 angle measures are 20° and 70°
1.Does the relationship between number of people and the bill appear to be weak, moderate or strong?
2.Does the relationship between number of people and the bill appear to be linear?
3.The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.
4.Interpret the slope of the line of best fit in the context of this problem.
5.Note that the points in the scatterplot do not all lie on the line. What could explain this variability?
6.Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?
7.There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?
Answers
The relationship depicts to be fairly strong and also linear as the points on the graph doesn't move far from a line.
What is the relationship about?The interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will bring or add about $11.15 to the bill above.
The variability can be shown or explained by the differences that are seen in what the parties in the graph has ordered to eat or drink.
Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50 is known to be less than the predicted amount.
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determine (algebraically) if the given function is EVEN or ODD show your work.
f(x)= -13x^2+15
Answers
======================================================
Explanation:
[tex]f(x)= -13x^2+15\\\\f(x)= -13x^2+15*1\\\\f(x)= -13x^2+15x^0\\\\[/tex]
Each term of the polynomial function has an exponent which is an even number, therefore the function is even.
-------------
Another approach:
[tex]f(x)= -13x^2+15\\\\f(-x)= -13(-x)^2+15\\\\f(-x)= -13x^2+15\\\\[/tex]
Since f(x) = f(-x) for all x, this proves the function is even.
Have a good day
What is the cubed root of 1331
Answers
Answer:
Step-by-step explanation:
∛(1331)
∛11*11*11 = 11
Find the value of x in the triangle.
Answers
Answer:
Step-by-step explanation:
x + x + 90 = 180
2x + 90 = 180
2x = 90
x = 45
can you please help?
Answers
Find S20 given
a,=3 and d=-5
Answers
Step-by-step explanation:
Sn=n(2a+(n-1)d)
2
S20=20(2x3+(20-1)x-5)
2
S20=10(6+19x-5)
S20= 10(6-95)
S20=10x-89
S20=-890
Hope this helps you
Have a nice day
what is 56x3/4
please help
Answers
Answer:
40 1/2 or 40.5
Step-by-step explanation:
i used a calculator
Consider this figure. 11 1/2 in 10 in 20 in
Answers
Graph: f(x) = |x – 2| – 4
Step 1: Identify the translation. The parent absolute value function is translated 2 units. and 4 units
Step 2: The vertex of the parent is (0, 0). Plot the vertex of the translated function two units to the right and four units down from (0, 0).
Step 3: Evaluate the function at one more point to the left of the vertex.
f(1) =
Step 4: Use symmetry to find another point. Another point is
Step 5: Plot the points (1, -3) and (3, -3).
Step 6: The straight lines through these points show the graph of the function
__________________
Step 1: to the right; down
Step 3: -3
Step 4: (3,-3)
Answers
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
Graphing modulus function
Modulus of a function are positive value of a function. Given the modulus expression as shown
f(x) = |x – 2| – 4
This function shows a translation of a function f(x) = x, 2 units to the right and 4 units down.
The resulting graph of the function is as shown below;
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Solve for D: 48 = 12D - 30 + 6D. Round to nearest hundredths if applicable!
Answers
Answer:
D = 4.33
Step-by-step explanation:
⇒ 48 = 12D - 30 + 6D
⇒ 48 = 18D - 30
⇒ 18D = 78
⇒ D = 78/18
⇒ D = 26/6
⇒ D = 13/3
⇒ D = 4.33
The requried simplified value of the given expression is D = 4.33.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
48 = 12D - 30 + 6D
Simplify,
48 = 18D - 30
D = 78 / 18
D = 4.33
Thus, the requried simplified value of the given expression is D = 4.33.
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You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p = 0.11. You would like to be 96% confident that your esimate is within 5% of the true population proportion. How large of a sample size is required?
Answers
large of a sample size is required=165
what is z value in statistics?The Z-value is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation
Using the formula:
large of a sample size is required=(Z∝[tex]I_{2}[/tex]/E)²* P(1-P)
According to the given data
E= margin of error= 5%=0.05
96% confident that your estimate is within 5% of the true population proportion,
Therefore, level of significance
∝=1-0.96
=0.04.
Z value for the 96% confident is 2.05, therefore, Z∝I2=2.05
Therefore, large of a sample size is required=(2.05/0.05)²* (0.11)(1-0.11)
=1681*0.0979
=164.5699
=165
Hence, large of a sample size is required=165
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Please help, I'm not understanding this, I will give brainliest to the person who helps answer and maybe explain :)
the best way to put the solution is to say
1 to 3/5 * 5/9 to 1/3 or something like that, that was just an example
Answers
Step-by-step explanation:
all the tasks are the same type and have the same way of solution.
Example №1:
9[girls] + 11[boys]=20 persons. Then the probability to choose the first boy is: 11/20. After this choice, 9[girls]+10[boys]=19 persons. Then the probability to choose the 2-d boy is: 10/19. The final required probability is: 11/20 * 10/19 = 11/38.
P.S. all the details are in the attachment.
P.P.S. the suggetsted way is not the only one.
Find the number...
3/8 of it is 24
Answers
So it will be 9
Thomas is taking out a business loan of $20,000 over 5 years. He is given an APR of 6.12% he would like his monthly payments to not exceed $350 a month. Looking at the first few rows of the amortization table below, will his monthly payment be below $350 ? How much over/ under will hi actual payments be from his goal of $350? How much over/ under will his actual payments be from his goal of $350 per month?
Answers
1. Thomas' monthly payment for the loan exceeds $350.
2. An excess monthly payment of $37.77 exists.
3. Thus, the actual monthly payment is $387.77.
What is interest?The interest is the finance charge for the loan, representing the cost of the time value of money.
The interest and the monthly payments can be calculated using an online finance calculator as follows:
Data and Calculations:Business Loan = $20,000
Down Payment = 0%
Loan Term = 5 years or 60 months (5 x 12)
Interest Rate = 6.12%
Monthly Mortgage Payment = $387.77
Total of 60 Mortgage Payments = $23,266.38 ($387.77 x 60)
Total Interest = $3,266.38
Thus, Thomas' actual monthly payment is $387.77.
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Which of the following rational functions is graphed below
Answers
Answer:
The answer should be A.
Step-by-step explanation:
It is A because you need to do first is to find the vertical asymptote first and the horizontal asymptote second for the function.
You ride your bike north for 100 m at a constant speed of 5 m/Your acceleration is ?
Answers
100 m at a constant speed of 5.
to find:the acceleration.
solution:[tex]a = \frac{v - u}{t} [/tex]
[tex]a = \frac{100 - 100}{5} [/tex]
[tex]a = 0.00m | {s}^{2} [/tex]