The measure of the arc length of the sector will be 1.047 units. Then the correct option is A.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The radius of the sector is 1 unit and the central angle is π/3. Then the measure of the arc length of the sector will be given as,
Arc = [(π/3)/2π] 2π(1)
Simplify the equation, then we have
Arc = [(π/3)/2π] 2π(1)
Arc = (1/6) × 2π
Arc = π/3
Arc = 1.047 units
The proportion of the circular segment length of the area will be 1.047 units. Then, at that point, the right choice is A.
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Sarah has 31.2 pounds of dog food. She divides the food into bags that will hold 5.2 pounds each.
How many bags will Sarah fill with dog food?
Answer: 6
Step-by-step explanation:u divide 31.2 and 5.2
Please answer the question in the picture
Answer:
It is A because rational numbers and rational expressions are closed under multiplication.
Step-by-step explanation:
Hope this helps! Please mark brainliest :)
WEATHER Paola’s weather app tells her that there is a 20% chance of rain on Tuesday and a 50% chance of rain on Wednesday. What is the probability that it will rain on both Tuesday and Wednesday?
The probability that it will rain on both Tuesday and Wednesday is 60%.
Let A represents the event of raining on Wednesday and B represents the event of raining in Tuesday,
Then according to the question,
P(A) = 20% = 0.2,
P(B) = 50% = 0.4,
Here, A and B are independent events,
So, P(AB) = P(A) × P(B),
⇒ P(A∩B) = 0.2 × 0.5 = 0.10
We know that,
P(A∪B) = P(A) + P(B)
The probability it rains on Wednesday or Tuesday, P(A∪B) = 0.2 + 0.5 - 0.10
= 0.60
= 60%
Hence the probability that it will rain on both Tuesday and Wednesday is 60%.
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Evaluate the expression 5x for x = 4.
Answer:
20
Step-by-step explanation:
Long Questions
Avipsa sells a radio to Sabin at a gain of 10% and Sabin sells it to Ramita at a
gain 5%. If Ramita pays Rs. 462 for the radio what did it cost to Avipsa?
מובנה
A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?
Explanation:
A = set of odd numbers = {1,3,5}
B = set of factors of 12 = {1,2,3,4,6}
A U B = union of set A and set B
A U B = {1,3,5} union {1,2,3,4,6}
A U B = {1,3,5, 1,2,3,4,6}
A U B = {1,2,3,4,5,6}
The set union operation combines two sets into one bigger set. Duplicates are tossed out.
There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.
Therefore, the probability event A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.
Side notes:
A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.Find the length and width of the actual room, shown in the scale drawing. Then find the area of the actual room. Round the final answer, of necessary, to the nearest tenth.
4.5 in
⬛️ 3 in
5 in:8 ft
The length is about _____ feet, the width is about _____ feet, and the area is about ______ square feet.
The length is about 7.2 feet, the width is about 4.8 feet, and the area is about 34.56 square feet.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given that, The length and width of the model of the room are 4.5 in and 3 inches respectively.
Since Scale is 5 inches = 8ft
Thus the actual length of the room = 4.5*8/5 = 7.2 feet
the actual width of the room = 3*8 /5 = 4.8 feet
Since,
Area = length * width
Area of the room = 7.2 * 4.8
Area of the room = 34.56 square feet
Therefore, The dimensions are roughly 7.2 feet long, 4.8 feet wide, and 34.56 square feet in area.
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What algebraic expression is equivalent to 8(2x+4) ?
Answer:
10x + 32
Step-by-step explanation:
BRANLIEST PLZZZ. I will make my day :)))
Which triangles are similar to triangle ABC?
Answer:
Not 100%
Step-by-step explanation:
Um... I would say both but im not 100% sure. Probably should get some more help
Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
Mr. Heritage starts a new business, and to get it started he borrows $2 500 from a bank. If the loan is for two years, and the amount of interest for those two years is $175, what SIMPLE interest rate was he charged? (SIMPLE INTEREST: the principle and interest calculations dont change- they stay the same for the entire two year period!) BONUS- if he pays off the whole loan in the two years, what would his monthly bill be, (DON'T FORGET TO INCLUDE THE INTEREST CHARGE FOR HIS MONTHLY BILLS!!! YOU CAN ROUND YOUR CALCULATION TO THE NEAREST HUNDRETH- THAT IS, TO TWO DECIMAL PLACES...)
The rate of interest is given by the equation R = 3.5 %
What is Simple Interest?Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the rate of interest be represented as R
Now , the simple interest I = $ 175
The principal amount invested P = $ 2,500
The time period T = 2 years
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )
Substituting the values in the equation , we get
Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )
Rate of Interest R = 17500 / 5000
Rate of Interest R = 3.5 %
Hence , the interest rate is 3.5 %
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What is the length of line segment CD with endpoints (Negative 3 2) and (2, 2) as shown on the coordinate plane?
On a coordinate plane, line C D goes from (negative 3, 2) to (2, 2).
2 units
3 units
4 units
5 units
Answer: The line is 4 units.
Step-by-step explanation:
Answer:
5 is the correct answer just did the edge quiz
Step-by-step explanation:
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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find each unknown. Double a known fact.
9 x 4=
Answer: 36
Step-by-step explanation:
Find the prime factorization of 234.
Answer:2^1 × 3^2 × 13^1
Step-by-step explanation:
Solve 3^5x-7=5^4x+3 analytically to get an exact answer (no decimal approximations). Write your answer in terms of base 10 logarithms.
The solution to the equation 3^5x-7=5^4x+3 is x = -5/191
How to determine the solution to the equation?The equation is given as
3^5x-7=5^4x+3
Evaluate the exponents in the above equation
So, we have
243x - 7 = 625x + 3
Collect the like terms
So, the equation becomes
625x - 243x = -7 - 3
Evaluate the like terms
382x = -10
Divide both sides by 382
x = -10/382
Simplify
x = -5/191
Hence. the solution is x = -5/191
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A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "D".
Event Y : The letter selected is found in the word "CAGE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
a) The only outcome that satisfies both events X and Y is the letter C.
b) The outcomes that satisfy either event X or event Y are {A, B, C, E, G}.
c) The complement of event X is {D, E, F, G}.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
The outcomes for each of the following events are:
(a) Event "X and Y": {C}
To satisfy both events X and Y, the letter selected must come before "D" (which includes the letters A, B, and C) and must be one of the letters in the word "CAGE" (which includes only the letter C). Therefore, the only outcome that satisfies both events X and Y is the letter C.
(b) Event "X or Y": {A, B, C, E, G}
The outcomes that satisfy event X are A, B, and C (since they come before "D"), and the outcomes that satisfy event Y are C, A, G, and E (since they are letters found in the word "CAGE"). Therefore, the outcomes that satisfy either event X or event Y are {A, B, C, E, G}.
(c) The complement of event X: {D, E, F, G}
The complement of event X is the set of outcomes that do not satisfy event X. The outcomes that do not satisfy event X are D, E, F, and G (since they come after or are equal to "D"). Therefore, the complement of event X is {D, E, F, G}.
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Solve for b in the equation: 2b + 3c = A
Answer:
b = (A - 3C)/2
Step-by-step explanation:
2b = A - 3C
b = (A - 3C)/2
Please help me the question is in the pic, thank you.
Answer:
A = 38
Step-by-step explanation:
Answer:
B is 90
A is 38
AC is 90
BC is 142
expand (x - 1÷2y+1÷3z)^2
A mammal's surface area can be calculated by using the equation S(m) = km where s(m) is the surface area in square centimeters, k is a constant and m is the mass in grams of the mammal. What is the mass of a mammal with k = 8.5 and a surface area of 6000 square centimeters? Round answer to the nearest whole number
Answer: 706 grams
Step-by-step explanation:
s(m) = km
So 6000 = 8.5m
Divide both sides by 8.5 to isolate m
6000/8.5 = 8.5m/8.5
705.88 = m
m = 706 (rounding up)
The required surface area of the given mammal is given as square meters.
Given that,
A mammal's surface area can be calculated by using the equation S(m) = km where s(m) is the surface area in square centimeters, k is a constant and m is the mass in grams of the mammal.
The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
here,
Given expression,
S(m) = k × m
Now put S(m) = 6000 and k = 8.5
6000 = 8.5m
m = 6000/8.5
m = 705.9 square centimeters
Thus, the required surface area of the given mammal is given as square meters.
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Answer this question please
The inequality for 2/3 I 4v + 6 I - 2 ≤ 10 is -6≤v≤3.
Given the inequality is 2/3 I 4v + 6 I - 2 ≤ 10
Isolate the variable by dividing each side by factors that don't contain the variable.
2/3 I 4v + 6 I ≤ 10 +2
arrange the constants on the right side.
2/3 I4v + 6I ≤ 12
multiply the terms.
8v + 12/3 ≤ 12 or -8v - 12/3 ≤ 12
8v + 12 ≤ 36 or -8v -12 ≤ 36
8v ≤ 36 -12 or -8v ≤ 36 + 12
8v ≤ 24 or -8v ≤ 48
v ≤ 24/8 or v ≤ 48/8
v ≤ 3 or v≥-6
therefore, -6 ≤ v ≤ 3.
Hence the inequality is -6 ≤ v ≤ 3.
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Can someone help me?
Answer:
7w
Step-by-step explanation:
7th grade help me plzz
Answer: The temperature rose 20 degrees celsius
Step-by-step explanation:
the difference between -10 and 10 is 20.
Answer: 20 degrees Celsius
Step-by-step explanation:
Explanation:it just is do the math
\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10
Step-by-step explanation:
Answer:
There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:
A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.
A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.
A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.
A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.
There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.
Write this number in
scientific notation.
19,800,000
1.98x10[?] I need help on the last step
classify the following differential equation s given in both standard and differential form. Q5 only
what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
Solve:
20/x =2
a. x = 40
c. x = 20
b. x = 10
d. x = 15
answer is B. x=10
Answer:
b. x=10
Step-by-step explanation:
20/x=2
To get the 20 onto the other side and the x by itself, multiply both sides by 20.
x=20/2
x=10