A sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.
Explanation:In mathematics, a sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.
For example, if we have a sector with a radius of 5 units and a central angle of π/3 radians (60 degrees), we can calculate the area as follows:
Find the area of the whole circle with radius 5: A = π(5)^2 = 25π square unitsCalculate the fraction of the circle represented by the sector: Fraction of circle = π/3 / (2π) = 1/6Multiply the area of the whole circle by the fraction of the circle represented by the sector: Area of sector = (1/6) * 25π = (25/6)π square unitsLearn more about Sector area definition here:https://brainly.com/question/29055300
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A box contains 20 cards numbered 1–20. You select a card. Without replacing the first card, you select a second card. Find P(1, then 20).
1. 1/190
2. 1/400
3. 1/200
4. 1/380
Answer:
[tex]\frac{1}{38}[/tex]
Step-by-step explanation:
add and simplify 9/16 plus 1/2
find the difference 7/x^2-7x - 5/x^2-49
Help me please!!! ASAP
Lyla took a total of 16 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes will Lyla have taken in total? Assume the relationship is directly proportional.
Lyla takes 4 quizzes per week. Over 8 weeks, she will have taken a total of 32 quizzes, if the relationship is directly proportional.
Explanation:Lyla took 16 quizzes over the course of 4 weeks. This indicates that Lyla takes 4 quizzes per week (16 quizzes divided by 4 weeks). We can apply this rate to an 8-week period to find out how many quizzes she will have taken after 8 weeks of school. To do this, you multiply the number of quizzes she takes per week (4) by the number of weeks (8), which results in 32 quizzes. Hence, Lyla will have taken a total of 32 quizzes after 8 weeks. This calculation assumes that the relationship is directly proportional, meaning the number of quizzes she takes each week remains constant.
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Okay my question is : Rachael’s backyard swimming pool is being empty by a pump. The amount of water in the pool W in gallons at any time t in hours is given by the following equation :W=9000-150t deep how many gallons of water are being pumped out each hour??that is my question plzzz answer asap
What is the range of data in this box plot? what is the median?
Let A = {a, b, d, f, g} and B be a sets in the universe U = {letters of the alphabet}. If A ∩ B = {b, d}, which could be a set of B?
(steps to solve problem too please?)
Set B must contain the elements {b, d}, which are present in its intersection with set A. Besides those, set B can include any other letters from the alphabet.
Explanation:The question involves finding a possible set B given the information that set A is {a, b, d, f, g} and A ∩ B = {b, d}, where ∩ represents the intersection of two sets. Intersection means the elements that are common to both sets.
Therefore, to solve this, we can conclude that set B must contain at least the elements {b, d}, as these are present in the intersection with set A.
However, set B can also contain other letters of the alphabet since the universe U is the set of all letters in the alphabet.
Hence, the possible set B could be any set containing {b, d} along with any combination of other letters from the alphabet. For example, set B could be {b, d, e, m, n} or {b, d, x, y, z}, or simply {b, d} itself.
Final answer:
Set B must contain the elements {b, d} from the intersection with set A and can include any other letters of the alphabet except for a, f, and g.
Explanation:
The question asks us to determine set B given that the intersection of sets A and B is {b, d}. We know that A = {a, b, d, f, g} and A ∩ B = {b, d}. The intersection of two sets includes only the elements that are present in both sets. Since b and d are the only common elements, they must be in set B. However, set B can also contain any elements from the universal set U that are not in set A. Hence, set B must include {b, d} and can include any of the other letters in the alphabet except for a, f, and g.
Choosing seven numbers that match seven randomly selected balls when the balls are numbered 1 through 32?
What is the modulus of 5 - 3i
The modulus of the complex number 5 - 3i is found using the Pythagorean theorem and comes out to be square root of 34.
Explanation:The modulus of a complex number, such as 5 - 3i, is the distance from the origin to the point representing the complex number in the complex plane. We calculate it by using the Pythagorean theorem. The modulus of the complex number 5-3i is given by √((Re z)² + (Im z)²) = √((5)² + (-3)²) = √(25 + 9) = √34, where Re z represents the real part of the complex number, and Im z represents the imaginary part. So, the modulus of the complex number 5 - 3i is √34.
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Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles?
Answer:
D: The two triangles may be congruent, but additional information is needed about the sides of each triangle.
Step-by-step explanation:
Got in right on Edge
Itzik 45 seconds to fill an 18 down container how long will it take to fill a 40 gallon container
Find the measure of z
A. 108
B. 120
C. 135
D. 144
If m1 + m3 = 154°, what is m2? 156° 116° 29° 26°
For the above question, are angles 1 and 3 complementary, supplementary, or neither. Explain your answer. Note: You must answer and explain to receive full credit.
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1 A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5 9 degree Celsius.
11 A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
111 A temperature increase of 5 9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I only B) II only C) III only D) I and II only
y=mx+b
where in this case
C=
59(F−32)or
C=
59F−59(32)You can see the slope of the graph is
59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.C=
59(F)C=
59(1)=59Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
95 degrees Fahrenheit.C=
59(F)1=
59(F)(F)=
95Since
95 = 1.8, statement II is true.The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of
59 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:C=
59(F)C=
59(59)C=
2581(whichis≠1)An increase of
59 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.The final answer is D.
A combined total of $49,000 is invested in two bonds that pay 2% and 6.5%simple interest. The annual interest is $2,5100. How much is invested in each bond?
The amount invested in the 2% bond is $7,500, and the amount invested in the 6.5% bond is $41,500.
Explanation:Let's assume that the amount invested in the 2% bond is x dollars. Then, the amount invested in the 6.5% bond is $49,000 - x dollars.
The interest earned from the 2% bond is 0.02x dollars, and the interest earned from the 6.5% bond is 0.065($49,000 - x) dollars.
According to the problem, the sum of these two interests is $2,510. So, we have the equation:
0.02x + 0.065($49,000 - x) = $2,510
Simplifying and solving this equation, we find that x = $7,500. Therefore, $7,500 is invested in the 2% bond, and $41,500 is invested in the 6.5% bond.
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Which expression is the correct one?
n is prime given that it has 2 digits
Each morning Papa notes the birds feeding on his birdfeeder. He has seen 59 blue jays, 68 black crows, 12 red robins, and 1 cardnal. What is the probability of being the next bluejay papa sees
Who cant help me with 1-6 ♀️♥️
7y+25=-24 what is the answer
albert makes $10/Hr. at his job this week he also recieves a small cash bonus of $40 due to a company incentive program. let X represent the number of hours albert worked
it looks as though you made 72 of your goal so far for the month you only have 5 days left to reach 100% of your goal let me remind you that your target was 45 renewals how many renewals in the next 5 days
In the next 5 days, 13 renewals must be made.
Given that you made 72% of your goal so far for the month, and you only have 5 days left to reach 100% of your goal, and your target was 45 renewals, to determine how many renewals in the next 5 days you must perform, you must perform the following calculation:
100 = 45 72 = X 72 x 45/100 = X 32.4 = X 45 - 32.4 = 12.6
Therefore, in the next 5 days, 13 renewals must be made.
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Gwen has recently purchased a cottage. She has arranged
to have well dug on the property. One in five wells that
were dug recently in the vicinity were dry, and 30% of the
others were contaminated. Find the probability of each of
the following:
a) Gwen’s well will not be dry.
(b) Gwen’s well will be uncontaminated, given that it is not dry.
(c) Gwen will have safe drinking water
from her well.
(d) Gwen will not have safe-drinking
water from her well.
The probabilities are:
a) 80%
b) 70%
c) 56%
d) 24%
How to find the probability?
We know that 1 on 5 weels are dry, so 20% are dry, 80% have water.
Out of these 80%, 30% are contaminated, so the percentage of contaminated wells is:
p = 100%*(0.8*0.3) = 24%
Then the ones that are safe to drink are the:
q = 80% - 24% = 56%
Then:
a) Gwen’s well will not be dry. --> 80%
(b) Gwen’s well will be uncontaminated, given that it is not dry.
30% of the non-dry wells are contaminated, so the other 70% aren't.
(c) Gwen will have safe drinking water from her well. 56%
(d) Gwen will not have safe-drinking water from her well. = 24%
determine the value of x
what is the GCF for 88/100
Answer:
The greatest common factor of 88 and 100 is 4
Step-by-step explanation:
50 PIONTS AND BRANLIEST
Which of the following statements is not true?
|-5.5| > |5.4|
0.9 > -7.2
-9.4 < -6.4
|-2.3| < 0
THere are 36 peoplein a fitness studio. What fraction represents the number of people running?
3/8 of the people lifted weights, 1/3 of the people did cross training, the remaining people were running.
a. 7/24 b. 17/24 c. 5/12 d. 7/8
The fraction of people running is 7/24. Hence, the correct option is a.
We are asked to find the fraction of people running in a fitness studio, given that 3/8 are lifting weights and 1/3 are doing cross training.
Here's how to calculate it:
First, let's find the fraction of people lifting weights:
3/8 of 36 = 13.5 people (since 36 * 3/8 = 13.5).
Next, we find the fraction of people doing cross training:
1/3 of 36 = 12 people (since 36 * 1/3 = 12).
Now, we can find the total number of people not running by adding those lifting weights and cross training:
13.5 + 12 = 25.5 people.
To find the number of people running, we subtract the number not running from the total:
36 - 25.5 = 10.5 people running.
Finally, we convert this into a fraction of the total number of people in the fitness studio:
10.5 out of 36 is 10.5/36, which can be reduced to 7/24.
What is the domain of the function y= 100-x^2?
Answer:
The domain for this function is all real numbers
Step-by-step explanation:
There is no restriction for the function y=100-x^2 since it is defined as a quadratic equation, it can managed any number
Which expression is equivalent to the expression shown please help!!!!!!!!!!!