Answers
The radius of this circle is equal to 8 centimeters.
How to determine the radius of this circle?Assuming the variable O denotes the center of this circle as shown in the image attached below. Next, we would draw line segment OH such that line segment OH is perpendicular to line segment BC (OH ⊥ BC).
This ultimately implies that line segment CH is equal to line segment HB;
CH = HB = 6 cm.
By critically observing the geometric figure ADOH, we can logically deduce that it represents a rectangle;
OD = AH = 10 cm (opposites sides).
Therefore, we have:
AB = AH – HB
AB = 10 - 6
AB = 4 cm.
By applying the power of point A, we have the following:
AD² = AB × AC.
AD² = 4 × 16
AD = √64
AD = 8 centimeters.
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Related Questions
What are the domain and range of the function
Answers
Answer:
Domain (-∞,∞)
Range (0, ∞)
Step-by-step explanation:
The domain of a function is always the set of all real numbers therefore the domain is going to be (-∞,∞). The range is (0, ∞) because 0 is one of the outputs for the function
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
Answers
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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Writer the ratio in 3 ways 4 books for every 25 shelves
Answers
Answer:
400:2500 , 40:250 ,and 4:25
Translate and solve the following: three more than the difference of 6s and 5s is equal to the sum of 12 and 6.
Answers
Therefore, the value of "s" that satisfies the given equation three more than the difference of 6s and 5s is equal to the sum of 12 and 6. is 15/4.
What are linear equations?A linear equation is one where the variable's maximum power is 1. To put it another way, a linear equation is one that has the form axe + b = 0, where a and b are constants and x is the variable.
The speed of an item travelling straight forward or the pace at which a population is increasing are two examples of real-world scenarios that are equal to the frequently modelled using linear equations. They are rather easy to resolve, and the answers may be obtained by applying fundamental algebraic strategies such isolating the variable and running calculations on both sides of the problem.
In several disciplines, including physics, engineering, and economics, linear equations are used extensively.
How to solve?
Let "s" be the unknown value that we are trying to find.
3 + (6s - 5s) = 12 + 6
3 + (6s - 5s) = 12 + 6
3 + 1s = 18
4s = 15
s = 15/4
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A fair coin is tossed 10 times, given that there were 4 heads in the 10 tosses, what is the probability that the first toss was head
Answers
Given that there were 4 heads in the 10 tosses, we can use Bayes' Theorem to find the probability that the first toss was a head:
P(First toss was head | 4 heads in 10 tosses) = P(4 heads in 10 tosses | First toss was head) * P(First toss was head) / P(4 heads in 10 tosses)
We know that P(First toss was head) = 0.5, and we can calculate P(4 heads in 10 tosses | First toss was head) using the binomial distribution:
P(4 heads in 10 tosses | First toss was head) = (10 choose 4) * (0.5)^4 * (0.5)^6 = 210 * 0.0625 * 0.015625 = 0.206
To calculate P(4 heads in 10 tosses), we can use the binomial distribution again:
P(4 heads in 10 tosses) = (10 choose 4) * (0.5)^4 * (0.5)^6 = 210 * 0.0625 * 0.015625 + 210 * 0.9375 * 0.984375 = 0.2051
Therefore, we can calculate the probability that the first toss was a head given that there were 4 heads in 10 tosses:
P(First toss was head | 4 heads in 10 tosses) = 0.206 * 0.5 / 0.2051 = 0.503
So the probability that the first toss was a head given that there were 4 heads in 10 tosses is approximately 0.503.
What is the solution of 1/2 √w+1=4?
Answers
Answer:
w = 36
Step-by-step explanation:
\(\frac{1}{2}\) \(\sqrt{w}\) + 1 = 4 ( subtract 1 from both sides )
\(\frac{1}{2}\) \(\sqrt{w}\) = 3 ( multiply both sides by 2 to clear the fraction )
\(\sqrt{w}\) = 6 ( square both sides to clear the radical )
w = 6² = 36
The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
Answers
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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16 divided by the sum of 2 and 6
Answers
Answer:
Step-by-step explanation:
16/(2+6)
16/8=2
Mr. Drew grows green pepper plants in planters.
The graph shows the relationship between the number of planters and the number of pepper plants. How many pepper plants are in 3 planters?
A graph shows green pepper plants by planters. A line starts at (0, 0) and passes through (4, 12).
18
12
9
3
Answers
Answer:
Option (3)
Step-by-step explanation:
From the graph attached,
For a point (x, y),
x-coordinate shows the planters and y-coordinate show the number of green pepper plants in the planters.
If input value (x-value) for the line is 3,
Output value (y-value) from the graph will be, y = 9.
Therefore, there are 9 green pepper plants in 3 planters.
Therefore, Option (3) is the correct option.
6/8 time is twice as fast as 3/4
True or False
Answers
Answer:
False
Step-by-step explanation:
Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.
Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.
To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).
Answer:
False
Step-by-step explanation:
Please help I’ll give brainlieast
Answers
Answer:
Top one is A, then false, then C
Step-by-step explanation:
Ez
y = -2 x - 5 what is the answer help
Answers
Answer:
x = -5/2
Step-by-step explanation:
0 = -2x - 5
2x = -5
Divide^
x = -5/2
Hope this helped
Brainliest is appreicated./
1. The local ice cream shop has had a great month in sales. Based on the Information below, calculate the operating ratio.
cost of goods sold = $2,500.00
net sales = $18,200.00
operating expenses = $4,350.00
O 62 percent
O 38 percent
O 71 percent
O 32 percent
Answers
The operating ratio of the local ice cream shop is 38 percent
The cost of goods sold is $2,500
The net sales is $18,200
The operating expenses is $4,350
The operating ratio can be calculated as follows
= cost of goods sold+ operating expenses/total revenue
= 2500+4,350/18,200
= 6,850/18,200
= 0.376×100
= 37.6
= 38%
Hence the operating ratio is 38%
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Which of the following is NOT an equation?
1. 5(2x+1)=10x+5
2. 4x-1
3. 5+3=10
4. x/2+1=7
Answers
From the following 4x - 1 is not an equation, because there is no equality.
3 of 5
→
Find the first three terms of the sequence below.
Tn = 2n^2-4n-3
T1=
T2=
T3=
Answers
Answer:
- 5 , - 3 , 3
Step-by-step explanation:
to find the first three terms, substitute n = 1, 2, 3 into the explicit formula
\(T_{n}\) = 2n² - 4n - 3
T₁ = 2(1)² - 4(1) - 3
= 2(1) - 4 - 3
= 2 - 7
= - 5
T₂ = 2(2)² - 4(2) - 3
= 2(4) - 8 - 3
= 8 - 11
= - 3
T₃ = 2(3)² - 4(3) - 3
= 2(9) - 12 - 3
= 18 - 15
= 3
the first three terms are - 5, - 3 , 3
A piecewise function is a defined by the equations below. y(x) = 15x – x31 x < 0 90 x = 0 sin (x) x > 0 3exsin (x) Write a function which takes in x as an argument and calculates y(x). Return y(x) from the function. • If the argument into the function is a scalar, return the scalar value of y. • If the argument into the function is a vectorr, use a for loop to return a vectorr of corresponding y values.
Answers
We first check if the input is a scalar (integer or float) or a vector (NumPy array). If it's a scalar, we evaluate the corresponding equation and return the scalar value of y. If it's a vector, we iterate over each element using a for loop, calculate the y value for each element, and store them in a list. Finally, we convert the list to a NumPy array and return it.
To write a function that calculates the values of the piecewise function, we can use an if-else statement or a switch statement to handle the different cases based on the value of x. Here's an example implementation in Python:
import numpy as np
def calculate_y(x):
if isinstance(x, (int, float)):
if x < 0:
return 15*x - x**3
elif x == 0:
return np.sin(x)
else:
return 3*np.exp(x)*np.sin(x)
elif isinstance(x, np.ndarray):
y_values = []
for val in x:
if val < 0:
y_values.append(15*val - val**3)
elif val == 0:
y_values.append(np.sin(val))
else:
y_values.append(3*np.exp(val)*np.sin(val))
return np.array(y_values)
else:
raise ValueError("Input must be a scalar or a vector.")
# Example usage
scalar_result = calculate_y(2)
print(scalar_result) # Output: -4.424802755061733
vector_result = calculate_y(np.array([-2, 0, 2]))
print(vector_result) # Output: [ 9. 0. -4.42480276]
In this function, we first check if the input is a scalar (integer or float) or a vector (NumPy array). If it's a scalar, we evaluate the corresponding equation and return the scalar value of y. If it's a vector, we iterate over each element using a for loop, calculate the y value for each element, and store them in a list. Finally, we convert the list to a NumPy array and return it.
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IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS
Answers
Answer:
Where is figure. Hope you understand me
Step-by-step explanation:
Please mark me brainliest thanks
Almost all medical schools in the united states require students to take the medical college admission test (mcat). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500. 9, with a standard deviation of 10. 6.
Answers
What is the question for this so I can answer it?
y+1=3(x-4) Which is the ordered pair to the solution??
Answers
Mr. Wilkerson bought frozen treats for 34 children. Each child picked either a popsicle or an ice cream bar. Each popsicle cost $2 and each ice cream bar cost $5. If Mr. Wilkerson spent a total of $128, how many of each type of treat did he buy?
Answers
Answer: He bought 20 ice cream bars and 14 popsicle
Step-by-step explanation:
To solve this I used the elimination method, you could use substitution as well
Here are our two equations
x+y=34 Because the total number of ice creams bought must be given to 34 children and no more
2x+5y=128 because that is the cost for each ice cream and the amount he spent
For the elimination method we have to cancel out one of the variables, I decided to cancel out the x, so I multiplied the top equation by -2. So i got -2x-2y=-68
2x+5y=128 Then we get
3y=60 so
y=20
Now we can go back to the first equation and plug in y.
x+20=34
-20 -20
x=14
So he bought 14 popsicles and 20 ice cream bars.
Use a system of equations to solve the quadratic equation: x2 + 2x + 10 = - 3x + 4.
Answers
The solutions of the equation x² + 2x + 10 = - 3x + 4 are x=-2 and x=-3
The given equation is x² + 2x + 10 = - 3x + 4.
Take all the terms to the left side
x² + 2x + 10+3x-4=0
Combine the like terms
x²+5x+6=0
x²+2x+3x+6=0
Take out the factors
x(x+2)+3(x+2)=0
(x+3)(x+2)=0
x=-2 and x=-3
Hence, x=-2 and x=-3 are the solutions of the equation x² + 2x + 10 = - 3x + 4.
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A playground is in the shape of a rectangle. The length of the rectangle is three times its width. The area of the playground is 19,500 square feet. What is the length of the playground? Round to the nearest foot. Hint: use A=LW
Answers
The length of the rectangular playground is 241.86 foot.
How to calculate length of the rectangle?Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.
Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.
Calculation:A=LW
As given A= 19,500 sq.ft and considering L=3W,
19,500 = 3W*W
19,500 = 3W^2
∴ W^2 = 6500
∴ W = \(\sqrt{6500}\)
∴ W = 80.6225 ft. ≈ 80.62 ft.
Now putting the value W = 80.62 in equation L =3W,
L = 3* 80.62
L = 241.86 ft.
The length of the rectangular playground is 241.86 foot.
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f(x) = 2x2 – 7x – 6. Find f(6)
Answers
Answer:
hello, your name similarty to my name
Step-by-step explanation:
put 6 from x and to find function
f(6)= 72-42-6=24
4 -7(6) -6
4 -42 = -38
-38 -6 = -32
please mark brainiest if correct
I need to know the answer to this question
Answers
Answer:
what is the question...............?
Correct I’ll give brainlist no links or I’ll report
Answers
Answer:
None of these answers
Step-by-step explanation:
Plug the points into the equation to see if they make sense
(4,-10), -10=3(4)+2, -10=12+2, -10=14. Incorrect
(10,-4). -4=3(10)+2, -4=30+2, -4=32. Incorrect
(-10,-4), -4=3(-10)+2, -4=-30+2, -4=-28. Incorrect
Therefore, the answer is none of these answers
If this helps please mark as brainliest
3x+y=2 how to solve for y
Answers
Answer:
Um i think, x = 0 and y = 2
Step-by-step explanation:
3x + y =
3(0) + 2 =
0+2 = 2
Im sorry i might be wrong
Answer: (2-y) /3
Step-by-step explanation:
1) Subtract y from both sides: 3x=2-y
2) Divide both sides by 3: x= (2-y)/3
The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
Answers
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
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A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being odd numbers is 9 over 36.
If the experiment is repeated 140 times, predict the number of times both spins will be odd numbers.
140
70
36
35
Answers
So, based on the theoretical likelihood, we anticipate that 35 times out of 140 repeats, both spins will be odd numbers.
What is probability?Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible to occur and 1 indicating that an event is certain to occur. The probability of an event A, denoted by P(A), is calculated as the number of favorable outcomes for the event divided by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 3 is 1/6 because there is only one favorable outcome (rolling a 3) out of the total 6 possible outcomes. Probabilities can be used to make predictions about the likelihood of future events and to make decisions under uncertainty. Probabilities can also be used to describe the distribution of random variables and to quantify the relationship between different events. Probability theory is widely used in many fields, such as statistics, engineering, finance, physics, and biology, among others.
Here,
The theoretical probability of both spins being odd numbers is 9 over 36, which means that for every 36 times the experiment is repeated, we expect 9 of those times to result in both spins being odd numbers.
If the experiment is repeated 140 times, we can use the theoretical probability to estimate the number of times both spins will be odd numbers as follows:
140 * (9/36) = 35
So, based on the theoretical probability, we predict that both spins will be odd numbers 35 times out of 140 repetitions.
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According to the behavior of integer division, when an integer is divided by an integer, the result will be a float. True or false?.
Answers
Question:
According to the behavior of integer division, when an integer is divided by an integer, the result will be a float. True or false?
Answer: False
If copies of all your computer data are stored on 4 independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?
Answers
The probability of at least one drive working during the year is equal to the complement of all four drives failing, which is \(\( 1 - p^4 \)\).
To calculate the probability of at least one drive working during the year, we can use the complement rule. The complement of all four drives failing is equivalent to at least one drive working.
Let's assume that the probability of a single hard drive failing during a year is denoted as \(\( p \)\). This means that the probability of a single drive working is \(\( 1 - p \)\).
Since the four drives are independent, the probability of all four drives failing is given by \(\( p^4 \)\).
Therefore, the probability of at least one drive working during the year is equal to the complement of all four drives failing, which is \(\( 1 - p^4 \)\).
Please note that the value of \(\( p \)\), the probability of a single drive failing, is not provided in the question. You would need to know this information or make an assumption about it in order to calculate the exact probability.
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The probability of avoiding catastrophe with at least one working drive is 0.9999999, or nearly 1.
The probability of avoiding catastrophe with at least one working drive can be calculated using the concept of complementary events.
Let's assume each drive has a failure rate of 0.01 (1% chance of failure) during a year. To find the probability that all drives fail, we multiply the failure probabilities of each drive together: 0.01 * 0.01 * 0.01 * 0.01 = 0.0000001.
The complementary event is the probability of at least one drive working, which can be found by subtracting the probability of all drives failing from 1: 1 - 0.0000001 = 0.9999999.
Therefore, the probability of avoiding catastrophe with at least one working drive is 0.9999999, or nearly 1.
In simpler terms, having multiple independent drives greatly reduces the likelihood of a catastrophic data loss. The chance of all four drives failing simultaneously is extremely low, so you can feel confident that your data will be protected.
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