Answers
42.7
Answer: The correct option is (A) 42.7 units.
Step-by-step explanation: Given that the radius of the circle center at O is 24 units and OC is 11 units.
We are to find the length of chord AB.
We have,
in the right-angled triangle OCB (m∠OCB = 90°),
OB = 24 units and OC = 11 units.
Using Pythagoras theorem in ΔOCB, we have
[tex]OB^2=OC^2+BC^2\\\\\Rightarrow BC=\sqrt{OB^2-OC^2}\\\\\Rightarrow BC=\sqrt{24^2-11^2}\\\\\Rightarrow BC=\sqrt{576-121}\\\\\Rightarrow BC=\sqrt{455}\\\\\Rightarrow BC=21.33.[/tex]
Since OC is perpendicular to chord AB, so AC = BC.
Therefore, we get
[tex]AB=AC+BC=2\times BC=2\times 21.33=42.66=42.7.[/tex]
Thus, the required length of AB is 42.7 units.
Option (A) is CORRECT.
Related Questions
The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:
Side of Coin Landed On Heads Tails
Number of Flips 52 48
Which of the following best describes the experimental probability of getting tails?
A) The experimental probability is 2% lower than the theoretical probability.
B) The experimental probability is the same as the theoretical probability.
C)The experimental probability is 2% higher than the theoretical probability.
D)The experimental probability cannot be concluded using the data in the table.
Answers
Answer:
A) The experimental probability is 2% lower than the theoretical probability.
Step-by-step explanation:
Answer:
The answer would be A.
Step-by-step explanation:
Find the zeros of the function. g(x) (-5x-1) (2x+8)
Smaller x
Larger x
Answers
-10x^2 - 40x - 2x - 8 = 0
-10x^2 - 42x - 8 = 0
10x^2 + 42x + 8 = 0
5x^2 + 21x + 4 = 0
Quadratic Equation yields:
x = -1/5 and x = -4
Mr. carlucci brought 8 3/4 pounds pepperoni for large sandwiches. He cut the pepperoni into 1/12 pound slices. A skateboarder bumped into his table and 2 7/12 pound of the pepperoni fell on the ground and was eaten by 3 dogs. Does mr. carlucci have enough pepperoni left to make 74 sandwiches if he puts one slice on each sandwich? By how much is he over or under the amount of pepperoni he needs?
Answers
First make 8 3/4 into a improper fraction ⇒ 35/4.
35/4 ÷ 1/12 ⇒ 35/4 × 12/1 = 105
Mr. Carlucci has 105 pieces of pepperoni.
Now subtract 2 7/12 from 105.
105 - 2 7/12 ⇒ 105 - 31/12 ⇒ 1260/12 = 31/12
1260/12 = 31/12 = 1229/12
1229/12 = ~102
Mr. Carlucci has enough pepperoni to make 74 sandwiches. He is over the amount of pepperoni he needs by 28 slices.
a chemist has 5 1/10 kg of calcium. if she uses 0.15 kg of the compound each time she performs an experiment, for how many experiments will her supply last?
Answers
The chemist can perform approximately 34 experiments with her 5.1 kg supply of calcium, given that she uses 0.15 kg of calcium for each experiment.
Explanation:The chemist has 5 1/10 kg of calcium and uses 0.15 kg of calcium for each experiment. To determine the number of experiments she can perform with her existing supply, we need to divide the total amount of calcium she has by the amount used in each experiment.
So, 5 1/10 kg = 5.1 kg. Dividing 5.1 kg by 0.15 kg, we get approximately 34. Therefore, she can perform 34 experiments with her current supply of calcium.
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A line has a slope of - 3/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply.
(–8, 8) and (2, 2)
(–5, –1) and (0, 2)
(–3, 6) and (6, –9)
(–2, 1) and (3, –2)
(0, 2) and (5, 5)
Answers
It's (-8,8) and (2,2)
(-2,1) and (3,-2)
Answer:
(–3, 6) and (6, –9) and (0, 2) and (5, 5)
Step-by-step explanation:
Given : Slope = [tex]\frac{-3}{5}[/tex].
To find: Which ordered pairs could be points on a line that is perpendicular to this line.
Solution : We have given that Slope = [tex]\frac{-3}{5}[/tex].
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1}}[/tex].
For (–8, 8) and (2, 2)
Slope = [tex]\frac{2- 8 }{2 + 8}[/tex].
Slope = [tex]\frac{-6 }{10}[/tex].
Slope = [tex]\frac{-3 }{5}[/tex].
For (–5, –1) and (0, 2).
Slope = [tex]\frac{2+1 }{0 + 5}[/tex].
Slope = [tex]\frac{3 }{5}[/tex].
For, (–3, 6) and (6, –9)
Slope = [tex]\frac{-9- 6}{6 + 3}[/tex].
Slope = [tex]\frac{-15 }{9}[/tex].
Slope = [tex]\frac{-5}{3}[/tex].
For (–2, 1) and (3, –2)
Slope = [tex]\frac{-2 -1 }{3 +2}[/tex].
Slope = [tex]\frac{-3 }{5}[/tex].
For (0, 2) and (5, 5)
Slope = [tex]\frac{5 -2 }{5 -0}[/tex].
Slope = [tex]\frac{3 }{5}[/tex].
Therefore, (–3, 6) and (6, –9) and (0, 2) and (5, 5)
Michael does not want to spend more than $21.00 on a new backpack, not including tax. Select all of the following descriptions of prices for backpacks that Michael would buy.
Answers
• 10% of $25 = $2.5 Therefore B would come to $22.5
• 1/4 of $24 = $6
• 50% of $41 = $20.5 Therefore D would be $20.5
Your answers are A, C and D
20% × 25 = 5
25 - 5 = $20.00
b)
10% × 25 = 2.5
25 - 2.5 = $22.5
c)
24 ÷ 4 = $6.00
d)
41 × 50% = 20.5
41 - 20.5 = $20.5
A, C, and D are all prices for backpacks that Michael would buy.
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?
Answers
Answer:
It's 69.08
Step-by-step explanation:
A random sample (Sample 1) of the cars' average driving speed (km/h) is: 120, 132, 142, 119, 112, 130, 149, 111, 167, 139, 141. A random sample (Sample 2) of the SUVs' average driving speed (km/h) is: 112, 135, 124, 115, 119, 90, 112, 134, 113, 114, 115. What is the median of Sample 1? What is the median of Sample 2?
Answers
sample 2 is 115
Someone pleas help me!!!!!! An irrational number cannot be written as a ______ of two integers.
a) difference b) ratio
Answers
Take Pi for example, it is irrational because it cannot be written as a fraction
If a number cannot be expressed as a fraction, it is irrational
Hope this helps!
Answer: Ratio
1. d^2 + 12d + 32
(d + 8)(d + 4)
(d - 8)(d - 4)
(d - 8)(d + 4)
(d + 8)(d - 4)
2.d^2 - 12d + 32
(d - 4)(d - 8)
(d - 4)(d + 8)
(d + 4)(d - 8)
(d + 4)(d + 8)
5.x^2 + 3xy - 4y^2
(x + 4y)(x + y)
(x - 4y)(x - y)
(x - 4y)(x + y)
(x + 4y)(x -y)
Answers
[tex](d+4) (d+8)[/tex]
2.) Factor [tex]d^2-12d+32[/tex] Also using the AC method
[tex](d-8) (d-4)[/tex]
5.) Factor the Polynomial
[tex](x-y) (x+4y)[/tex]
Karina bought a camera with the regular price of $99. It was on sale at a 20% discount. There was a 7% tax on the sale price. How much did Karina spend to buy the camera? PLEASE SHOW YOUR WORK
Answers
Convert 20% to a decimal ⇒ 0.2
99 × 0.2 = 19.8
Subtract 19.8 from 99.
99 - 19.8 = 79.2
Now multiply 79.2 by 7%.
7% ⇒ 0.07
79.2 × 0.07 = 5.544
Add 5.544 to 79.2.
5.544 + 79.2 = 84.744
Round to the hundredths place because it's money :)
84.744 ⇒ 84.74
Karina spent $84.74 to buy the camera.
The city of Chula Vista has a population of 173,556. National City has a population of 61,115. What is the total population of the two cities? A. 234,671 B. 234,661 C. 232,671 D. 112,441
Answers
(Population of Chula)+(Population of National)
Population of Chula Vista=173556
Population of National=61115
thus
Total population=(173556+61115)=243,671
Answer: A. 234,671
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left.
a) Write the equation to model this situation, where x is the number of days.
b) Use the equation to determine how much money Marty had two weeks ago.
c) Use the equation to determine when Marty will run out of money if he continues to spend at this rate.
Answers
After 14 days = $68 left
a) x = 3
14x = - 68
14x + 68 = 0
b) 14(3) + 68 = $120
c) total money = y
y - 14x = 120
y = 14(3) + 120
y = 172
172 - 3n = 0
3n = 172
n = 57 days and 8 hours
Sorry If I am wrong,but I've tried my best to give you the solution..
a) equation to model this situation can be
14x + 68 = 0
b) so, the money he had before two weeks are
14(3) + 68 = $120
c) equation to determine when Marty will run out of money if he continues to spend at this rate is 57 days and 8 hours.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
Spent per day = $3
After 14 days = $68 left
a) equation to model this situation can be
14x + 68 = 0
b) so, the money he had before two weeks are
14(3) + 68 = $120
c) equation to determine when Marty will run out of money if he continues to spend at this rate.
let the total money be a
a - 14x = 120
a = 14(3) + 120
a = 172
So, if m is the number of days
172 - 3m = 0
3m= 172
m = 57 days and 8 hours
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what is the distance between points (10, 3)nd (-2, 4)
Answers
√(-2-10)² + (4-3)² = d
d = (-12)² + (1)²
d = 144 + 1
distance = 145
Which of the following statements describes this sequence 1, 3, 9, 27
I this is an arithmetic sequence
II The common ratio for this sequence is 3
III the next term in the sequence is 54
IV The sequence can be described by the expression n+3
I and IV
I,II, and III
II
Answers
The given sequence is a geometric sequence with a common ratio of 3. The next term of the sequence is 81, not 54. The sequence cannot be described by the expression n+3 or as an arithmetic sequence.
Explanation:The sequence given is 1, 3, 9, 27, which is a sequence where each term is a multiple of the previous term. This type of sequence is called a geometric sequence. In this particular sequence, it is clear that every term is being multiplied by 3 to obtain the next term. Hence, the common ratio for this sequence is indeed 3 (Statement II).
This sequence is not an arithmetic sequence (Statement I is false) because the difference between successive terms is not constant. Furthermore, the sequence can't be described by the expression n+3 (Statement IV is false) because the sequence doesn't increment by adding 3 to each term; instead, it increments by multiplying the previous term by 3. Lastly, the next term in the sequence is not 54 (Statement III is false). It is 81 because you multiply the previous term (27) by the common ratio (3) to get 81.
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Find the total surface area of a triangular pyramid if the perimeter is 30 feet, the slant height is 12 and the base is 43.5ft
Answers
A roof rises 9 feet for every 12 feet of run. What is the slope of the roof?
A.) -3
B.) 3
C.) 3/4
D.) 4/3
Answers
Answer:
[tex]m = \frac{9}{12} = \frac{3}{4} [/tex]
The correct answer is C.
in the first football game, the quarterback completed 18 out of 24 passes he attempted what percent did the quarterback complete
Answers
= 75%
just multiply the fraction with percentage
What is the simplified answer of “One less than X is less than -1 OR 3 more than X is greater than or equal to 7.” This is solving inequalities, thanks!
Answers
A square has a perimeter of 760 feet, what is the length of each side?
Answers
-4 sides
- All sides are equal
760/4=
190.
Each side has a length of 190 feet
Hope this helps :D!!
What is the equivalent fraction?
Drag the answer into the box to match the decimal.
0.7¯
Answers
The equivalent fraction of 0.7 is 7/9.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The decimal 0.7¯ (0.7777...) represents a repeating decimal in which the digit 7 repeats infinitely. To convert this to a fraction, we can use the following steps:
Let x = 0.7¯
Multiply both sides by 10 to move the decimal point one place to the right:
10x = 7.7¯
Subtract the left-hand sides of the first and second equations, and the right-hand sides of the first and second equations, to get:
10x - x = 7.7¯ - 0.7¯
Simplify both sides:
9x = 7
Divide both sides by 9:
x = 7/9
Therefore, the equivalent fraction for 0.7¯ is 7/9.
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A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?
Please show work, thank you!
Answers
True or false;
If two planes cross one another, then their intersection is two lines.
Answers
The answer would be true, because if your planes are not parallel, they're eventually going to meet and intersect.
Hope this helps!
if the circumference of the base=126 cm and h=10 cm, find the volume
Answers
V=Pi*r^2*h
You know the circumference which is 126
Circumference C=2*Pi*r, so you can determine r
126=2*Pi*r
r=20.05cm
Now go back and substitute your numbers in the original equation:
V=Pi*r^2*h
V=12633.72cm^3
A new website was reviewed by 91 people. The creator of the website surveyed 8 of the reviewers at random. He asked them to rate the website on a scale from 1 to 10. Their ratings are below.
3, 7, 10, 6, 3, 10, 10, 6
Assuming that the sample was representative of all reviewers, what was the mean rating of the website for all reviewers?
A.
4.5
B.
6.5
C.
7.125
D.
6.875
Answers
To find the average of the number set the numbers are to be added together and divided by the total amount of numbers in the set
[tex] \frac{3 + 7 + 10 + 6 + 3 + 10 + 10 + 6}{8} = 6.875[/tex]
Ernest thinks Ryan rested between 120 and 150 miles. Emma thinks he walked a flat part of the trail during that time. Who is correct and why? Which hypothesis matches the graph, Emma or Ernest’s? PLEASE HELP I GIVE BRAINLIEST
Answers
To determine who is correct, analyze the graph and compare it to the hypotheses of Ernest and Emma.
Explanation:Both Ernest and Emma have different hypotheses about Ryan's rest during the trail. Ernest thinks Ryan rested between 120 and 150 miles, while Emma believes he walked a flat part of the trail during that time. To determine who is correct, we need to analyze the graph to see if it matches either hypothesis.
If the graph shows a flat line between 120 and 150 miles, then Emma would be correct. However, if the graph shows a change in elevation during that distance, then Ernest's hypothesis would be correct. To identify the correct hypothesis, visually analyze the graph and compare it to the hypotheses put forth by Ernest and Emma.
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Please help as soon as possible
Answers
EQUATION 2: 3x+y=4
STEP 1:
solve for one variable in equation 1
x - y= 12
add y to both sides
x= 12 + y
STEP 2:
use x value from step 1 and substitute in equation 2
3x + y= 4
3(12 + y) + y= 4
multiply 3 by parentheses
(3*12) + (3*y) + y= 4
multiply inside parentheses
36 + 3y + y= 4
combine like terms
36 + 4y= 4
subtract 36 from both sides
4y= -32
divide both sides by 4
y= -8
STEP 3:
substitute y value from step 2 into either equation
x - y= 12
x - (-8)= 12
x + 8= 12
subtract 8 from both sides
x= 4
CHECK:
x= 4, y= -8
3x + y= 4
3(4) + (-8)= 4
12 - 8= 4
4= 4
ANSWER: The x value is 4 and the y value is -8.
Hope this helps! :)
Flee, Fin, and Fliffers are 3 rabbits for sale in a pet store. Combined they represent 30% of the total number of rabbits for sale. What is the total number of rabbits for sale?
Answers
To find the total number of rabbits for sale in the pet store, set the total number of rabbits as 'x' and solve the equation 0.30x = 3 to get x = 10. Therefore, there are 10 rabbits for sale.
The question involves Flee, Fin, and Fliffers, three rabbits that constitute 30% of the total number of rabbits for sale in a pet store. To find out the total number of rabbits, let's designate the total number of rabbits as 'x'. Since the three rabbits are 30% of the total, we can write the equation
0.30x = 3
(because Flee, Fin, and Fliffers are three rabbits).
Solving for 'x', we divide both sides of the equation by 0.30 to get
x = 3 / 0.30.
Therefore, x = 10, which means there are a total of 10 rabbits for sale in the pet store.
Let's represent the total number of rabbits for sale as x. Since Flee, Fin, and Fliffers represent 30% of the total, their combined number is 0.30x. We can set up an equation: 0.30x=number of rabbits represented by Flee, Fin, and Fliffers. Solving for x, we divide both sides by 0.30x=number of rabbits represented by Flee, Fin, and Fliffers/0.30x. This implies that the total number of rabbits is 3.33 times the number represented by Flee, Fin, and Fliffers. So, if we know the number of rabbits represented by Flee, Fin, and Fliffers, we can multiply it by 3.33 to find the total number of rabbits for sale.
Complete answer;
Flee, Fin, and Fliffers are 3 rabbits for sale in a pet store. Combined they represent 30% of the total number of rabbits for sale. What is the total number of rabbits for sale?
A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.9%, predict how many of the phones are likely to be defective. Round to the nearest whole number. 12 phones 15 phones 18 phones 145 phones
Answers
answer
about 15 phones
Answer:
15 phones, option B.
Step-by-step explanation:
A cell phone company orders new phones = 500
The probability of a phone is being defective = 2.9%
2.9% of 500 phones are = [tex]\frac{2.9}{100}[/tex] × 500
0.029 × 500 = 14.5 rounded to the nearest whole number is 15
The probability of 15 phones are defective out of 500 phones.
a pool is in shape of a rectangular prism. on monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep by how many inches does the depth of the water decrease each minute ?
Answers
4 inches in 20 minutes equals 1/5 inch per minute.
1/5 inch is the amount of decrease per minute.
The depth of the water decreases by each minute will be 1 / 5 inches.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a pool is in the shape of a rectangular prism. on Monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in the pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep
From 12:15 to 12:35, 20 minutes passed. 4 inches of water have drained in these 20 minutes.
4 inches in 20 minutes = 4 / 20 = 1/5 inch per minute.
Therefore, the depth of the water decreases by each minute will be 1 / 5 inches.
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