For circle O, For circle O, m CD=125° and m∠ABC = 55°. In the figure, ∠ ABO and ∠ BCO have measures equal to 35°.
How can you be sure that ∠ ABO and ∠ BCO have measures equal to 35° in the circles?For circle O, m(arc CD) = 125° and m∠ABC = 55°.
First, we use central angle to find that ∠COB is 125°,
give that ∠COB = arc CD
Next, we use complementary angles to find that ∠BCA is 35°,
given that ∠ABC + ∠BCA = 90°.
Then, we use the sum of interior angles in a triangle to find that ∠CBO is 20°; given that:
∠CBO + ∠COB + ∠BCO = 180°.
∠BCO = ∠BCA = 35°
∠COB = 125°
125° + 35° = 160°
180° + 160° = 20°
Finally, we use angle addition postulate to find that ∠ABO is also 35°.
Therefore, <ABO and <BCO both have measures of 35° in the figure.
The above answer is in response to the question below;
For circle O, and m∠ABC = 55°. In the figure, ∠_____ and ∠____ have measures equal to 35°.
a. the first could be AOB, ABO, or BOA
b. the second could be BCO, OBC, or BOC
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PLS HELP
The number of hours a student spent studying each week for 9 weeks is shown.
9, 4.5, 8, 6, 9.5, 5, 6.5, 14, 4
What is the value of the range for this set of data?
El área del hexágono regular cuyo lado mide 1 cm es?
Answer:
Respuesta: 2,25 cm cuadrados
Explicación paso a paso:
PERIMETRO: 6
APOTEMA: 0,75
AREA DEL HEXAGONO REGULAR: 6 X 0,75 / 2 = 2,25 CM CUADRADOS
Step-by-step explanation:
math
imaginelearning.com/lesson player/essons/1129/
Two wading pools are being filled at the same time.
The orange pool contains 4 gallons when it starts willing at a rate of 4 galtons a minute.
The blue pool fills at a rate of 5 gallons a minute.
How should the axis be labeled?
The z-axis should be labeled
How should the y-axis be labeled?
The yaxis should be labeled
What does the slope of each line represent?
The slope of each line represents the
What should the x axis be labeled
What is the y axis labeled
What does the slope line of each represent
What does the y intercept of each line represent
What does the slope line of each represent?
The slope line represents the constant change in value.
What does the y intercept of each line represent
The y-intercept indicates the y-value when the x-value is 0.
In ΔSTU, t = 260 cm, u = 850 cm and ∠S=166°. Find the area of ΔSTU, to the nearest square centimeter.
Answer:
1,110
Step-by-step explanation:
it's that because I added it all up in got thatv
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answer:
2,090. because Sarah has long distances and wanted to go home
A company knows that 32% of their customers order their product in Black and 26% in White and 22% in Grey.
2 orders are made, Find the probability that at least 1 is Grey.
After 2 hours, 36% of a certain element remains. If a sample has an initial amount of 100 grams, how many hours will it take until only 1 gram remains? Provide an answer supported by valid mathematical reasoning and/or calculations.
It will take approximately 12.85 hours until only 1 gram of the element remains.
If after 2 hours, 36% of the initial amount remains, then the remaining amount is 0.36 times 100 grams, which is 36 grams. Let's define the amount of the element remaining after time t in hours as R(t). Since the element is decaying exponentially, we can model it with the equation R(t) = 100[tex](0.36)^t[/tex].
We want to find how many hours it will take until only 1 gram remains. We can set R(t) equal to 1 gram and solve for t:
1 = 100[tex](0.36)^t[/tex]
Taking the logarithm of both sides, we get:
ln(1) = ln(100[tex](0.36)^t[/tex])
0 = ln(100) + t*ln(0.36)
t = -ln(100)/ln(0.36)
Using a calculator, we find that t ≈ 12.85 hours.
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for question 6 is wax and yau are verticle or not
In the given diagram, angle WAX and angle YAU are vertical angles
What are vertically opposite angles?From the question, we are to determine if angles WAX and YAU are vertical angles or not
Vertically opposite angles are pairs of angles that are opposite each other and formed by the intersection of two straight lines.
When two straight lines intersect, they form four angles at the point of intersection. Vertically opposite angles are the angles that are opposite each other, that is, they are located on opposite sides of the intersection point and are formed by the pair of opposite rays.
Vertically opposite angles are congruent, which means that they have the same angle measure. This property holds true for any pair of vertically opposite angles, regardless of the angle size or the orientation of the lines.
Hence, angle WAX and angle YAU are vertical angles
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1737x+642y=3 x and y are integers
Each day for 47 days, Zara predicted whether or not it would snow.
The frequency tree below shows her predictions and whether it snowed or not.
On what fraction of the days when it snowed was Zara's prediction correct?
Give your answer in its simplest form.
Predicted weather
Snow
No snow
19
Actual weather
Snow 15
No snow
Snow
No snow
Help me please I got an exam tomorrow
Answer:
Domain(-infinity,infinity) Range(-infinity,infinity) Zeros(0,0), (-4,0), (8,0) and (4,0) y-intercept at 0, even, y-axis, 2, -4
Step-by-step explanation:
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Solve for measure of angle a.
a
96°
140°
a = [?]°
If 2 secant lines intersect outside a circle:
Enter
2-b
The measure of angle a is solved to be 22 degrees
How to find angle aWhen two secant lines intersect outside a circle the formula for the vertex angle at a is
To find the vertex angle at point A where two secant lines intersect outside a circle, you can use the following formula:
angle A = 1/2 * (measure of arc 1 - measure of arc 2)
let arc 1 = 140 degrees
arc 2 = 96 degrees
plugging in the values
angle A = 1/2 * (140 - 96)
angle A = 1/2 * 44
angle A = 22 degrees
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George went to the store to buy notebooks.
- He had $36 to spend.
- He purchased 4 notebooks.
- After buying the notebooks, George had less than $12 left.
-What is the solution set for x, the cost of each notebook?
Thus, the solution set for the cost of each notebook that can be bought by George is: (0 ≤ x ≤ 6).
Explain about the one variable linear equation:A linear equation is a one-variable equation of the a straight line. The variable only has one power, which is 1. Simple algebraic operations are used to solve linear equations in one variable, which can have the form ax+b=0.
Given that:
Total amount George has = $36.Number of books = 4Left amount = $12Let the cost of each notebook 'x'.So, the linear equation follows
Amount for 4 notebooks + Left amount = total amount
4*x + 12 ≤ 36
4x ≤ 36 - 12
4x ≤ 24
x ≤ 24/4
x ≤ 6
So, (0 ≤ x ≤ 6)
Thus, the solution set for the cost of each notebook that can be bought by George is: (0 ≤ x ≤ 6).
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A local radio station is running a contest were 35 people have qualified. From these qualifiers, 3 will be randomly selected to win a trip to the Bahamas. How many different possibilities are there for the outcome of this contest?
Answer:
39270
Step-by-step explanation:
When the first person is picked, there is a 1 in 35 chance that it will be Person 1. If they are selected, that leaves 34 people left in the pool. After Person 2 is selected, there are 33 people left in the pool for Person 3.
35*34*33=39270
Work out the area of this circle.
Take to be 3.142 and write down all the digits given by your calculator.
13 cm
Answer:132.7495cm^2
Step-by-step explanation:
The formula for the area of a circle is πr^2.
We then substitute into this formula using 3.142 as π.
This leaves us with 3.142x6.5(radius is half of diameter)^2
When you type it into your calculator it should give you
132.7495cm^2
solve for x and y (Hint: is this a right triangle?)
(30° angle and 5 on the opposite side if anyone couldn’t see)
Answer: c=10, b=5 root 3
Step-by-step explanation:
it is a 30-60-90 triangle (use sum of angles in a triangle theorem.)
5 is the leg oppoiste to the 30 degree, so it is half of the hypotenuse, which is c, so c=10
then just use pythagorean theorem and 100-25=75 so answer is root 75 simplified to 5 root 3
please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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Statistics!
Express the original claim in symbolic form
When expressed in symbolic form, the original claim would then be H ₀: μ = 68. 9 bpm.
How to represent in symbolic form ?One common approach to express a hypothesis in symbolic form is through the application of logical symbols including "if-then" statements. This symbolized portrayal can be instrumental in directing the design of an experiment aimed at assessing its validity.
The null hypothesis is represented as H₀, with μ describing the mean pulse rate for male adults within the population. The underlying assertion suggests that on average adult males possess a pulse rate equivalent to 68.9 bpm.
H ₀: μ = 68. 9 bpm.
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The table below shows the number of concert tickets bought by people of different age groups. Ages Number of tickets, 14 and under are (17tickets), 15 - 18 (25) ,19 - 22 (38), 23 - 30 (26 ) ,31 - 40 (18), 40 and older (6) When making a histogram of these data, what height would you make the bar for the 15 -18 age range?
We would make the bar for the 15-18 age range with a height of 25 on the y-axis of the histogram.
What is a histogram?A histogram is a type of chart used to represent the distribution of a set of continuous numerical data. It is a graphical representation that consists of a series of vertical bars, where the height of each bar represents the frequency or count of observations falling within a specific interval or "bin" of values.
To make a histogram, we need to plot the age groups on the x-axis and the corresponding number of tickets on the y-axis. The bars in the histogram should represent the frequency of each age group.
From the given data, the number of tickets bought by people of age 15-18 is 25. Therefore, we would make the bar for the 15-18 age range with a height of 25 on the y-axis of the histogram.
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Graph the equation y = − x² + 8 x − 12 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation − x² + 8 x − 12 = 0
A graph that represent the quadratic equation y = -x² + 8x - 12 is shown in the image attached below.
The roots of the equation are (2, 0) and (6, 0).
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the given quadratic function, we can logically deduce that the graph would be a downward parabola because the coefficient of x² is negative and the value of "a" is less than zero (0).
Since the leading coefficient (value of a) in the given quadratic function y = -x² + 8x - 12 is negative 1, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (2, 0) and (6, 0).
In conclusion, the turning point and vertex is given by the ordered pair (4, 4).
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difference of the place value of two sevens in 357476 is = to what
Step-by-step explanation:
Count numbers
There are six numbers that counted in
Thousands and tens
The number is 357476 which is three hundred and fifty seven thousands, four hundred and 76
To find the answer you cancel 35 and remains with 7 the other numbers 4 and 6 you turns them into zeros and remain with seven
Thousands and tens is the answer of placing a value of two sevens.
For f(x)=3x+4 and g(x)=x^2 find the following composite functions and state the domain of each.
The composite functions are:
a) f ∘ g = 3x² + 4, with domain of all real numbers.
b) g ∘ f = 9x² + 24x + 16, with domain of all real numbers.
c) f ∘ f = 9x + 16, with domain of all real numbers.
d) g ∘ g = x⁴, with domain of all real numbers.
To find the composite functions, we need to substitute the function g into the function f or vice versa, depending on the order of composition. The resulting composite function will have a domain that is restricted by the domains of the individual functions involved.
a) To find f ∘ g, we substitute g(x) = x² into f(x) = 3x + 4:
f(g(x)) = 3g(x) + 4 = 3x² + 4
The domain of f ∘ g is all real numbers because the domain of g(x) = x² is all real numbers.
b) To find g ∘ f, we substitute f(x) = 3x + 4 into g(x) = x²:
g(f(x)) = (3x + 4)² = 9x² + 24x + 16
The domain of g ∘ f is all real numbers because the domain of f(x) = 3x + 4 is all real numbers.
c) To find f ∘ f, we substitute f(x) = 3x + 4 into f(x) = 3x + 4:
f(f(x)) = 3f(x) + 4 = 3(3x + 4) + 4 = 9x + 16
The domain of f ∘ f is all real numbers because the domain of f(x) = 3x + 4 is all real numbers.
d) To find g ∘ g, we substitute g(x) = x² into g(x) = x²:
g(g(x)) = (x²)² = x⁴
The domain of g ∘ g is all real numbers because the domain of g(x) = x² is all real numbers.
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Solve for k and graph the solution. 0≥ k+14 3 > – 2
The graph of the solution set for the inequality -14 ≥ k > -20 is on the image at the end.
How to solve the inequality for k?To do this we just need to isolate the variable k in the middle.
We start with:
0 ≥ (k+14)/3 > – 2
We can multiply both sides by 3:
3*0 ≥ (k+14) > – 2*3
0 ≥ (k+14) > - 6
Now subtract 14 in both sides:
-14 ≥ k > -6 - 14
-14 ≥ k > -20
Then we need to draw an open circle at k = -20 and a closed circle at k = -14, and connect them with a line, like in the image below.
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Shirley returned from Canada with $23 445 and converted the dollars to kina at the Jacksons International Airport Calculate the amount in kina he received at rate of exchange of K1 (2 marks) CASO 4689 ?
determine the values of the six trigonometric functions of (- pi / 2 )
with work shown please.
Answer:
[tex]\circ \quad sin\left(-\dfrac{\pi}{2}\right) = -1\\\\[/tex]
[tex]\circ \quad \cos \left(-\dfrac{\pi }{2}\right)= 0\\\\[/tex]
[tex]\circ \quad \tan \left(-\dfrac{\pi }{2}\right) = -\dfrac{1}{0}[/tex] is not defined
[tex]\circ \quad \csc\left(-\dfrac{\pi }{2}\right) =-1\\\\[/tex]
[tex]\circ \quad \sec\left(-\dfrac{\pi }{2}\right) = \dfrac {1}{0}\\[/tex] is not defined
[tex]\circ \quad \cot\left(-\dfrac{\pi}{2}\right) =\:0[/tex]
Step-by-step explanation:
[tex]\text{Values of trig functions for $-\dfrac{\pi}{2}$ are: }\\\\[/tex]
[tex]\circ \quad sin\left(-\dfrac{\pi}{2}\right) = - sin\left(\dfrac{\pi}{2}\right) = -1\\\\[/tex]
[tex]\circ \quad \cos \left(-\dfrac{\pi }{2}\right)=\cos \left(\dfrac{\pi }{2}\right) = 0\\\\[/tex]
[tex]\circ \quad \tan \left(-\dfrac{\pi }{2}\right) = \dfrac{sin\left(-\dfrac{\pi}{2}\right)}{cos\left(-\dfrac{\pi}{2}\right) } = \dfrac{-1}{0}[/tex]
This is undefined since division by zero is undefined
[tex]\circ \quad \csc\left(-\dfrac{\pi }{2}\right) = \dfrac{1}{sin\left(-\dfrac{\pi }{2}\right)} = \dfrac{1}{-1} =-1\\\\[/tex]
[tex]\circ \quad \sec\left(-\dfrac{\pi }{2}\right) = \dfrac{1}{\cos\left(-\dfrac{\pi }{2}\right)} = \dfrac {1}{0}[/tex]
This is undefined
[tex]\circ \quad \cot\left(-\dfrac{\pi}{2}\right) = \dfrac{cos\left(-\dfrac{\pi }{2}\right)}{sin\left(-\dfrac{\pi }{2}\right)}\:=\:\dfrac{0}{-1\:}=\:0[/tex]
Keyboard A Keyboard B Keyboard C
Person
Person Totals (P) Overall
M = 1 M = 5 M = 6 A 6 N = 15
SS = 8 SS = 22 SS = 10 B 9 G = 60
C 18
D 12 k = 3
E 15
n = 5
Complete all calculations for the ANOVA Summary Table:
SS total, SS within, SS between treatments, SS between subjects, and SS error
df total, df within, df between treatments, df between subjects, and df error
MS between treatments and MS error
the F ratio
Then:
Find critical value for F based on df between treatments and df error, and decide if F ratio is significant or not.
Tukey's HSD is 2.0. Determine which keyboards are significantly different from one another in the number of errors people make and summarize the results.
Keyboards A and B are significantly different from one another
How to explain the informationThe F ratio has been found to be 4.30, equating to the MS between treatments divided by MS error resulting in a value of 2082/484. In order to seek out the critical value for F at an alpha level of 0.05 within degrees of freedom between treatments (2) and degrees of freedom error (3), we must consult the F-table, revealing it to be 5.14.
We reach the conclusion that rejecting the null hypothesis would not prove necessary as there appears to be no great significance when it comes down to the number of errors made with the three concerned keyboards.
Tukey's HSD signifies 2.0, indicating any distinction of means exceeding such scores is considered noteworthy. Calculating pairwise comparisons can enlighten us as to which keyboards are significant from one another:
Comparing Keyboard A versus Keyboard B: The difference was calculated using |25-6| / ✓(484/6*(1/6+1/6)) = 3.03, determining its significance surpassing Tukey's HSD (2.0).
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According to the graph, what is the value of the constant in the equation
below?
A. 1
B. 2
C. 0.5
D. 4
What is 10500-8395______
Answer:
2105, plug it into calculator
Find to value of a if you knew the perimeter was 250 inches long
Answer:
To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.
Solve for x:
|x|+8 = -3
Answer:
No Solution
Step-by-step explanation:
Because this solution deals with absolute value equations.