Jerry tries to find the measure of ABC His work is shown. Which statement describes Jerry's error? The picture shows a circle with a center O. Two chords, BA and BC are drawn from the same internal point, B. The angle of A is 135 degrees and C is 119 degrees.
Jerry's error is that he incorrectly assumes that the measure of angle ABC is equal to the sum of the measures of angles A and C. Hence Statement B is answer.
This is not true because angle ABC is an inscribed angle, which means its measure is half the measure of the intercepted arc.
In this case, the intercepted arc is AC. Since angle A measures 135 degrees and angle C measures 119 degrees, the sum of their measures is 254 degrees. However, angle ABC is not equal to 254 degrees.
To find the measure of angle ABC, we need to find the measure of arc AC. Since arcs A and C are equal in measure, we can find the measure of arc AC by subtracting angle A's measure (135 degrees) from the full circle measure (360 degrees).
Therefore, the measure of arc AC is 360 - 135 = 225 degrees. Since angle ABC is an inscribed angle, its measure is half the measure of arc AC, which is 225/2 = 112.5 degrees.
Hence Statement B is answer.
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Find the measure of UK
95°
T
99 °
U
87 R
S
?
K
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) +
expresses g(x) in terms of f(x)
The expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
To express the function g(x) in terms of f(x), we need to understand the relationship between the two functions.
The given expression g(x) = f(x) + indicates that the function g(x) is obtained by adding a certain value or expression to the function f(x). expression for g(x) in terms of f(x).
In general, if we have the function g(x) = f(x) + c, where c is a constant value, then g(x) can be expressed in terms of f(x) as:
g(x) = f(x) + c
In this case, g(x) is obtained by adding the constant value c to the corresponding values of f(x).
It's important to note that without additional information about the specific relationship between f(x) and g(x), such as a functional equation or given values, we cannot provide a more precise expression for g(x) in terms of f(x).
Therefore, the expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
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Answer: 3
Step-by-step explanation: just 3
Edge 2020
Dylan's mom told him that she would replace each one of his dimes with a quarter. If he uses all of his coins, determine if Dylan would then have enough money to buy a game priced at $20.98 if he must also pay an 8% sales tax.
Help, please!
Brianna predicted that 16 puppies would be sold at the pet store on Saturday. However, only 9 were sold. What was Brianna's percent error?
Answer:
Percent error is calculated using the formula:
Percent Error = ( |Predicted Value - Actual Value| / Actual Value ) * 100%
Plugging in Brianna's prediction and the actual number of puppies sold:
Percent Error = ( |16 - 9| / 9 ) * 100%
The absolute value of (16 - 9) is 7, so the calculation becomes:
Percent Error = ( 7 / 9 ) * 100%
This is approximately 77.78%, which is Brianna's percent error in her prediction.
GEOMETRY 50POINTS
find x to the nearest hundredth.
TYSM
Answer:
It's 18.37
Step-by-step explanation:
I'm smart trust me.
Find the probability that a randomly
selected point within the circle falls in the
red-shaded triangle.
12
12
P = [?]
Enter as a decimal rounded to the nearest hundredth.
Step-by-step explanation:
a probability is always the ratio of
desired cases / totally possible cases.
so, in this case it is the
area of the triangle / area of the circle.
as everything of the triangle is also a part of the circle.
and so, that fraction of the area of the whole circle that is the area of the triangle in refutation to the area of the whole circle is the probability that a random point inside the circle would be also inside the triangle.
the area of a right-angled triangle is
leg1 × leg2 / 2
in our case
12 × 12 / 2 = 72 units²
the area of a circle is
pi × r²
in our case that is
pi × 12² = 144pi units²
the requested probability is
P = 72 / 144pi = 1/2pi = 0.159154943... ≈ 0.16
find the critical numbers of the function.
f(x)=x^2(x-3)^2
On days when the temperature was less than 58
These are general considerations, and specific experiences may vary depending on geographical location, cultural practices, and individual preferences.
On days when the temperature was less than 58 degrees, it indicates that the weather was relatively cool. This could imply various conditions and experiences depending on the context and location. In general, some possible scenarios on such days may include:
Cooler outdoor activities: People might engage in activities such as hiking, jogging, or outdoor sports that are more enjoyable in cooler temperatures.
Layered clothing: Individuals may choose to wear warmer clothing, including jackets, sweaters, or scarves, to stay comfortable in the cooler weather.
Indoor activities: Cooler temperatures may encourage people to spend more time indoors, engaging in activities such as reading, watching movies, or pursuing hobbies.
Increased energy consumption: Cold weather often leads to an increased need for heating systems, resulting in higher energy consumption to maintain indoor comfort.
Changes in vegetation: Cooler temperatures can affect plant growth and flowering patterns. Certain plants may thrive in cooler conditions, while others may enter a dormant phase.
Changes in animal behavior: Some animals may adapt to cooler temperatures by seeking shelter or adjusting their activities and migration patterns.
Possible health effects: Cooler temperatures may impact individuals with certain health conditions, such as respiratory issues or joint pain, requiring them to take appropriate measures to stay comfortable.
These are general considerations, and specific experiences may vary depending on geographical location, cultural practices, and individual preferences.
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If the coordinates of point E are (-4,y), what is the value of y ?
please help I'm losing braincells
Answer:h equals 12
Step-by-step explanation:
The base of a triangle is 3 inches more than two times the height. If the area of the triangle is 7 in.² find the base and height.
Answer:
Let's denote the height of the triangle as "h" inches.
According to the given information, the base of the triangle is 3 inches more than two times the height. Therefore, the base can be expressed as (2h + 3) inches.
The formula to calculate the area of a triangle is:
Area = (1/2) * base * height
Substituting the given values, we have:
7 = (1/2) * (2h + 3) * h
To simplify the equation, let's remove the fraction by multiplying both sides by 2:
14 = (2h + 3) * h
Expanding the right side of the equation:
14 = 2h^2 + 3h
Rearranging the equation to bring all terms to one side:
2h^2 + 3h - 14 = 0
Now, we can solve this quadratic equation. We can either factor it or use the quadratic formula. In this case, let's use the quadratic formula:
h = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, the values are:
a = 2
b = 3
c = -14
Substituting these values into the quadratic formula:
h = (-3 ± √(3^2 - 4 * 2 * -14)) / (2 * 2)
Simplifying:
h = (-3 ± √(9 + 112)) / 4
h = (-3 ± √121) / 4
Taking the square root:
h = (-3 ± 11) / 4
This gives us two possible solutions for the height: h = 2 or h = -14/4 = -3.5.
Since a negative height doesn't make sense in this context, we discard the negative solution.
Therefore, the height of the triangle is h = 2 inches.
To find the base, we substitute this value back into the expression for the base:
base = 2h + 3
base = 2(2) + 3
base = 4 + 3
base = 7 inches
Hence, the base of the triangle is 7 inches and the height is 2 inches.
Step-by-step explanation:
-The answer for the height is 5.5 units.
-The base of the triangle is aproximately 2.5454 units.
To answer this problem, you have to set an equation with the information you're given. If you do it correctly, it should look like this:
7=1/2(3+2h)
-Now, you have to solve for h:
7=1.5+h
7-1.5=h
5.5=h
-Now that you have the height, you plug it in into the triangle area formula to solve for the base:
7=1/2(b)5.5
7=2.75b
7/2.75=b
b≈2.5454
-To make sure that the corresponding values for the base and height are correct, we plug the values in and this time we are going to solve for a(AREA):
A(triangle)=1/2(2.5454)(5.5)
A=1/2(13.9997)
A=6.99985 square units
-We round the result to the nearest whole number and we get our 7, which is the given value they gave us.
Write and solve an inequality that represents the number of gigabytes of data . G . You can use to stay under your budget of $130
Answer:
Sure, here is the inequality that represents the number of gigabytes of data (G) you can use to stay under your budget of $130:
```
cost_per_gb * G <= budget
```
where:
* cost_per_gb is the cost of data per gigabyte, which is $10 in this case
* G is the number of gigabytes of data
* budget is your budget, which is $130 in this case
To solve this inequality, we can first subtract cost_per_gb from both sides of the inequality. This gives us:
```
G <= budget / cost_per_gb
```
We can then plug in the values for cost_per_gb and budget to get:
```
G <= 130 / 10
```
```
G <= 13
```
This means that you can use up to 13 gigabytes of data and still stay under your budget. If you use more than 13 gigabytes of data, you will exceed your budget.
Here is a table that shows the cost of data for different amounts of data:
```
| Amount of data (G) | Cost (\$) |
|---|---|
| 1 | 10 |
| 2 | 20 |
| 3 | 30 |
| ... | ... |
| 13 | 130 |
| 14 | 140 |
| ... | ... |
```
Step-by-step explanation:
.
At a meat packing plant in Green Bay, the owners want to begin a continuing education program so their 186 employees can get a college education online if they desire. The following table represents an incomplete picture of the results. Use the following two-way frequency table for the questions below:
Men Women Total
No College Credit 28 A B
Some College C D 81
College Graduate 15 22 E
Total 79 F 186
a. Fill in the missing data in the table for values A through F. Explain the strategies you used to get each answer.
b. Describe a few pieces of data in terms of joint relative frequency. Explain why these data are both joint and relative.
c. Explain a few ways we can summarize pieces of this table using conditional relative and marginal relative frequency.
d. Are the data independent or dependent? Why?
Answer:
a. To fill in the missing data in the table, we can use the information given in the table along with the fact that the total number of employees is 186.
For value A: Since the total number of employees with no college credit is 28, and the total number of men is 79, we can subtract the number of men with some college (C) and college graduates (15) from the total number of men to find the missing value A. So A = 79 - C - 15.
For value B: Since the total number of women is 186, we can subtract the number of women with some college (D) and college graduates (22) from the total number of women to find the missing value B. So B = 186 - D - 22.
For value C: Since the total number of employees with some college is 81, and we have already determined the values A and D, we can subtract A and D from the total number of employees with some college to find the missing value C. So C = 81 - A - D.
For value D: Similarly, we can subtract B and E from the total number of women to find the missing value D. So D = 186 - B - E.
For value E: Since the total number of college graduates is 37 (15 men + 22 women), we can subtract the number of college graduates among men (15) from the total to find the missing value E. So E = 37 - 15.
For value F: Since the total number of employees is 186, we can subtract the total number of men (79) from the total to find the missing value F. So F = 186 - 79.
b. Joint relative frequency refers to the proportion of individuals that fall into a particular combination of categories. For example, the joint relative frequency of men with no college credit is the number of men with no college credit divided by the total number of employees (28/186). These data are joint and relative because they represent the proportion of individuals in a specific category combination relative to the total population.
c. To summarize the data using conditional relative frequency, we can calculate the proportion of individuals in each category given a specific condition. For example, we can calculate the conditional relative frequency of women who are college graduates by dividing the number of women who are college graduates (22) by the total number of women (186). Similarly, we can calculate the conditional relative frequency of men with some college by dividing the number of men with some college (C) by the total number of men (79).
To summarize the data using marginal relative frequency, we can calculate the proportion of individuals in each category by dividing the number of individuals in that category by the total number of individuals. For example, we can calculate the marginal relative frequency of men by dividing the total number of men (79) by the total number of employees (186). Similarly, we can calculate the marginal relative frequency of college graduates by dividing the total number of college graduates (37) by the total number of employees (186).
d. The data in the table can be analyzed to determine if there is an association or relationship between the variables. If the values in the table change depending on the categories of the other variable, then the variables are dependent. In this case, the data is dependent because the number of individuals with certain educational levels (no college credit, some college, college graduate) varies based on their gender. For example, there are different proportions of men and women in each educational category, indicating a relationship between gender and education level.
Step-by-step explanation:
The missing values in the two-way frequency table are filled based on the given values and the composition of the table. The table represents joint relative frequency, which is the proportion of specific groups in the total population. We can summarize the data using marginal and conditional relative frequencies, and the data are considered dependent because an employee's education level depends on their gender.
Explanation:To fill in the missing values of the two-way frequency table, we need to use the given numbers and the rules of the two-way frequency table. Here are the strategies used for filling in the values for A through F:
A = Total number of women - Total number of women with some college and college graduate education (in this case A = F - D - 22, because we know the number of total women F and the number of women college graduates 22, but D is still unknown).B = Total number of employees - Total number of men - Total number of women (B = 186 - 79 - F).C = Total number of some college - Number of women with some college (C = 81 - D)D = Total number of some college - Number of men with some college (D = 81 - C).E = Total number of employees - Total of men and women with and without college (E = 186 - B - 81 - 37F = Total number of employees - Total number of men (F = 186 - 79).The table will also represent joint relative frequency because each cell represents the joint occurrence of two categories (gender and education level). For example, the number of male employees with no college credit (28) divided by the total number of employees (186) is a joint relative frequency.
We may summarize the table data using conditional relative frequency and marginal relative frequency. The marginal relative frequency is the total of each row or column divided by the grand total. The conditional relative frequency would be, for example, the proportion of women among those with no college credit.
The data are dependent because the education level depends on whether the employee is a man or a woman.
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2.
Harry pours 650 cubic centimeters of water into cylindrical glass with a diameter of 10
centimeters. He then pours the water from the first glass to another cylindrical glass with a
diameter of 8 cm. How much higher did the water reach in the second glass than in the first
glass? Round to the nearest tenth of a centimeter.
agures of the
Answer:
113.1 is the answer. I used the arbitory height of 4 so the volume of both are now 314.16 and 201.06
314.16-201.06=113.1
52 divided by 7 = 6r3
A. Incorrect
OB. Correct
Answer:
incorrect
Step-by-step explanation:
as 7 * 6 = 42 and r is 10
so 6r3 is incorrect
and 7 * 7 = 49 and r is 3
so 7r3 is correct
f(x)=-4x+7 and g(x)=x^3 choose the expression for (fog)(x)
Answer:
(fog)(x) = -4x^3 + 7.
Step-by-step explanation:
We can think of (f o g)(x) as f(g(x)). This shows that we plug in the entire g(x) function for x in f(x) and simplify:
f(x^3) = -4(x^3) + 7
f(x^3) = -4x^3 + 7
Thus, (f o g)(x) = -4x^3 + 7
1. The initial odometer reading of a cab is 369 km. It travelled for 2 hours and the final odometer reading showed 469 km. Find the approximate average speed of the cab.
The approximate average speed of the cab is 50 km/h.
To find the approximate average speed of the cab, we can use the formula:
Average Speed = Total Distance / Total Time
Given that the initial odometer reading is 369 km and the final reading is 469 km, the total distance covered by the cab is:
Total Distance = Final Odometer Reading - Initial Odometer Reading
Total Distance = 469 km - 369 km
Total Distance = 100 Km.
The cab traveled for 2 hours, so the total time is:
Total Time = 2 hours
Now, we can substitute the values into the average speed formula:
Average Speed = Total Distance / Total Time
Average Speed = 100 km / 2 hours
Average Speed = 50 km/h
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Joe worked 2 hours and packed 3 cartons. Bob worked 3 hours and packed 4 cartons. Who packed the most cartons per hour?
Answer:
bob
Step-by-step explanation:
consider the graph function below
The equation of the red graph is g(x) = f(x) - 5
How to calculate the equation of the red graphFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = -x
i.e.. the parent equation of the function
From the graph, we can see that
The function is shifted down by 5 units
This means that
g(x) = f(x) - 5
This means that the equation of the red graph is g(x) = f(x) - 5
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Reduce this fraction to lowest terms 64/72
Answer: 8/9
Step-by-step explanation:
64/72 Divide both the top and bottom by 8
8/9
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The length of the segment AD found using the triangle proportionality theorem is the option (B)
(B) = 4 1/2
What is the triangle proportionality theorem?The triangle proportionality theorem states that if a line drawn parallel to a side of a triangle, intersecting the other two points at two distinct point, then it will divide the two sides intersected in the same ratio.
The arrow markings indicates that the segment DE and ACV are parallel, therefore, according to the triangle proportionality theorem, we get;
8/12 = 3/AD
AD/3 = 12/8
AD = 3 × (12/8) = 4.5
AD = 4 1/2
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One more question thank you
Answer:
Step-by-step explanation:
n=30
r=12
Plug into formula
you get:
1.7 in²
SOMEINE GELP IYS DUE IN HOURS
Answer: the answer is use ur ai in Brainly, it helped me a lot
Step-by-step explanation:
peter is 24 years younger than his father. In 5 years time, his father will be 3 times as old as peter? a). how old is peter. b). how old will peter's father be in 25 year's time?
Step-by-step explanation:
Let Peter's present age be "p" and his father's age be "x"
So, p = x-24 ;
5 years from now,
Peter's age will be (x-24) + 5 = x-19
His father's age will be x+5.
It is given that 3(x-19)= x+5.
3x - 57 = x + 5 => 2x = 62.
On solving, his father's present age (x) is 31.
So Peter's present age is (p) is x - 24 = 31 - 24 = 7.
Now going in the reverse oder to check the answer.
Peter's present is 7.
5 years from now, it will be 12.
His father's age is 31.
5 years from now, his age will be 36 (which is 3x12).
Hence , the answer to the given problem is 7
Which of the rays or segments below is a chord of circle O?
A) ->
TC
B)—
SO
C)—>
TU
D)—
FC
The ray or segment that is a chord is (d) segment FC
How to determine the ray that is a chordFrom the question, we have the following parameters that can be used in our computation:
The circle
By definition, a chord is a straight line that joins points of the circle without passing through the center
The ray that has the above properties is ray FC
Hence, the segments that is a chord is (d) FC
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Order these from least to greatest.
Answer:
Least to greatest:
√143
4π
√79 + √63
Step-by-step explanation:
√79 + √63 = 16.82
4π = 12.57
√143 = 11.96
how do i get 0.225 in fraction form while showing my work
0.225 can be expressed as the fraction 1/200.
To convert 0.225 to a fraction, we need to understand the place value of each digit. In this case, the digit 2 is in the hundredths place (2/100), the digit 2 is in the thousandths place (2/1000), and the digit 5 is in the ten-thousandths place (5/10000).
Next, we can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 2, 100, 1000, and 10000 is 2.
Now, we divide both the numerator and denominator by 2 to simplify the fraction. The numerator becomes 1 (2 divided by 2) and the denominator becomes 5000 (10000 divided by 2).
Further simplification is possible by dividing both the numerator and denominator by 5. The numerator becomes 1 (1 divided by 1) and the denominator becomes 1000 (5000 divided by 5).
Again, we can divide both the numerator and denominator by 5. The numerator remains 1 and the denominator becomes 200 (1000 divided by 5).
Therefore, 0.225 can be expressed as the fraction 1/200.
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find x using the trigonometric function
The value of x in the diagram given in the question is 6
How do i determine the value of x?From the question given above, the following data were obtained:
Angle (θ) = 60Adjacent = 3Hypotenuse = x =?The value of x can be obtained using cos ratio.
Cos θ = Adjacent / Hypotenuse
Cos 60 = 3 / x
Cross multiply
x × Cos 60 = 3
Divide both sides by Cos 60
x = 3 / Cos 60
= 3 / 0.5
= 6
Thus, the value of x is 6
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Find the missing side. 27° y= ?] 11
Answer:
21.6
Step-by-step explanation:
Tan 27= 11
y
y×tan27=11
y=21.6
The answer is:
y = 21.6
Work/explanation:
We are asked to use SOH-CAH-TOA. But what does it mean?
SOH CAH TOASOH stands for Sine = Opposite ÷ Hypotenuse
CAH stands for Cosine = Adjacent ÷ Hypotenuse
TOA stands for Tangent = Opposite ÷ Adjacent
Since we do not have the hypotenuse, we will use the TOA ratio:
[tex]\sf{Tangent=\dfrac{Opposite}{Adjacent}}[/tex]
The opposite is 11, and the adjacent is y:
[tex]\sf{\tan27=\dfrac{11}{y}}[/tex]
Take the tangent of 27 & approximate it:
[tex]\sf{0.5095=11\div y}[/tex]
Multiply each side by y
[tex]\sf{0.5095y=11}[/tex]
Divide each side by 0.5095
[tex]\sf{y=21.6}[/tex]
Hence, y = 21.6