Answer:
Arc EF = 11.30
Step-by-step explanation:
For Circle A
S = r∅
18.08=(8)∅
Where ∅ is the angle subtended by the Arc
So
∅ = 18.08/8
∅ = 2.26 (in radians)
Now
For Circle C
S = r∅
S = (5)(2.26)
S = 11.30
Which function will cross the y-axis at (0, 7)?
Oy=x+7
Oy=x-7
0y=x+5
Oy=7x
The value of function which cross the y-axis at point (0, 7) will be;
⇒ y = x + 7
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The point which cross the function = (0, 7)
Now,
Since, The point which cross the function = (0, 7)
Hence, The point must be satisfy the function.
By option (1);
⇒ y = x + 7
Put (x, y) = (0, 7)
⇒ 7 = 0 + 7
⇒ 7 = 7
Thus, The correct function which passes through the point (0, 7) is,
⇒ y = x + 7
Option (i) is true.
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A plane took off at 11:55 and arrived 2 hours 40 minutes later. What time did it arrive?
Joe is asked to prove that the sum of the interior angles (, , and ) of the triangle he has drawn equals 180°. His triangle is represented in the diagram above, and his work is shown below.
The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.
What is angle sum property of triangle?The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.
To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.
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How many numbers are there between 1 and 4?
Answer:
There are infinite numbers between one and four.
Step-by-step explanation:
There are whole, half, quarter, eighth and so many more numbers that the list is infinite. Hope this helps :)
Numbers are used to count and show measurement. There are infinite real numbers between 1 and 4 & there are 2 integers between 1 and 4.
Given
\(Min = 1\)
\(Max =4\)
The question can be interpreted in the following ways.
Interpretation 1: The number of integers/whole numbers/natural numbers between 1 and 4.
The category of numbers above do not have decimal points.
So: the solution to this interpretation is that there are 2 numbers between 1 and 4 and the numbers are 2 and 3.
Interpretation 2: The number of real numbers between 1 and 4.
The range of numbers between 1 and 4 is represented as:
\(Range = [1,4]\)
If the range is expanded, the numbers will be:
\(Numbers = \{1,1.000001,1.0000000000001,.....\}\)
This means that there can be as many numbers as possible between the interval.
Hence, the real numbers between 1 and 4 can not be counted i.e. infinity
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Incoming students at a certain law school have an average LSAT score of 163 and a Standard Devation (SD) of 8. Tomorrow, one of these students will be picked at random. You have to guess the score now; the guess will be compared to the actual score, to see how far off it is. Each point off will cost a dollar. (For example, if the guess is 158 and the score is really 151, you will have to pay $7).
A) Is the best guess 150, 163, or 170?
B) You have about 1 chance in 3 to lose more than ______. (LSAT scores range from 120 to 180; the average across all test-takers is about 150 and the SD is about 9. The test is re-normed from time to time, the data are for 2005).
a. $1.
b. $8.
c. $20.
write down the value of the 6 in the number 2693
Answer:
6 hundred
Step-by-step explanation:
the value of 6 in 2693 is 6 hundred as :-
TH. H. T. O
2. 6. 9. 3
6 comes under the hundred's value
plzzz mark me as brainliest
Answer:
6 hundred
Step-by-step explanation:
tama po yan im suree lab yow
A triangle has 2 sides of length 15 and 19 what is the smallest possible whole number length for the 3rd side
We have a triangle with 2 sides of length 15 and 19.
We have to find the smallest possible whole number length for the 3rd side.
We can draw this as:
The third size is x.
If we reduce h, approaching to 0, x is minimized.
When h is very close to 0 (if h=0, the triangle cease to exist), the value of x can be written as a little bigger than the difference between the largest side (19) and the other side (15).
Then, x is, in the limit h-->0:
\(x+15>19\Rightarrow x>19-15=4\Rightarrow x>4\)As x>4, the next whole number is 5.
NOTE: if x=4, the triangle does not exist, as there is no height or 3 angles.
Answer: The smallest whole number length for the 3rd side is 5.
For Jack's lemonade recipe, 12 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
help plz need help will make mi day if u help
Answer:
2 1/4 i believe correct me if im wrong
Step-by-step explanation:
Solve 1-2x - 1 = -10.
O A.x=9
O B.x = 5
O C. No solution
OD.x = -9
4
tan =- where
3
Find tan 28
Зл
•Soc
2
0 < 20
O
24
7
0 24
25
O 24
7
25
24
O None of the other answers are correct
Answer:
24/7
Step-by-step explanation:
tan 2t =+ 2 tan t) /( 1 - tan²t)
(2(-4/3))/(1- 16/9)
(-8/3)/(-7/9) = 24/7
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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Suppose X has a continuous uniform distribution over the interval [−2,2]
a) Determine the mean, variance, and standard deviation of X
b) Determine the value of a such that P(−a
Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) \(\int\limits^a_b f({x}) \, dx\)= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =\(\int\limits^a_b {x} \, dx\)=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence \(a = -2, b = 2\).
The mean is:
\(E(X) = \frac{a + b}{2}\)
Hence:
\(E(X) = \frac{-2 + 2}{2} = 0\)
The variance is:
\(V(X) = \frac{(b - a)^2}{12}\)
Hence
\(V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25\)
The standard deviation is the square root of the variance, hence \(\sqrt{1.25} = 1.12\)
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a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.
The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.
To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.
The coordinates of the image point L' will be:
L' = (-4 × 7, 0 × 7) = (-28, 0)
Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).
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Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point
shots. The team scored 98 points in all. Write and solve a system of equations to find the number of
each type of shot.
There were
2-point shots and 1-point shots.
Answer:
2-point shots = 41, 1-point shots = 16Step-by-step explanation:
Let the number of 1-point shots is x and 2-points shots is y.
The system as per question is
x + y = 571*x + 2*y = 98Solve it by elimination, subtract the first equation from the second
x + 2y - x - y = 98 - 57y = 41Find the value of x
x + 41 = 57x = 16Graph the system of inequalities. Then use your graph to identify the point that
represents a solution to the system.
x + y2 3
x-3y< 2
(6, 1)
(8,-1)
(6,2)
O (6,-2)
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
x + y > 3
x - 3y < 2
Next, we plot the graph of the system of the inequalities
See attachment for the graph
From the graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities graphically is (6, 2)
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Help !!!!!!!!!!!!!!!!!!!!
Answer:
\(12\pi\)
Step-by-step explanation:
\(L=\frac{\pi (120)(18)}{180} =\frac{2160\pi }{180}= 12\pi\)
Hope this helps
the number of pumps in use at both a six-pump station and a four-pump station will be determined. give the possible values for each of the following random variables. (enter your answers in set notation.) (a) t
For each variable, the possible values are:
a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
c) U = {0, 1, 2, 3, 4, 5, 6}
d) Z = {0, 1, 2}
Item a:
In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:
T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Item b:
In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:
X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
Item c:
The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.
U = {0, 1, 2, 3, 4, 5, 6}
Item d:
Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.
Z = {0, 1, 2}
The question is incomplete. The complete question is:
"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)
a. T = the total number of pumps in use
b. X = the difference between the numbers in use at stations 1 and 2.
c. U = the maximum number of pumps in use at either station
d. Z = the number of stations having exactly two pumps in use"
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During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?
Answer:
Most snow- 3 1/2 inch least snow, 1/2 inch
Step-by-step explanation:
21) Kinzang is 1.49 m tall. He was 0.53 m at birth. How much did he grow?
Kinzang grew 0.96 meters.
We have,
To find how much Kinzang grew, we need to subtract his height at birth from his current height:
Height Kinzang grew = Current height - Height at birth
Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m
Therefore,
Kinzang grew 0.96 meters.
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lim (cosec 2x - xcosec³x)
x approaches 0
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
We have,
To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.
The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).
Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.
Substituting these into the expression,
We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).
Now, let's evaluate the limit term by term:
lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).
lim(x approaches 0) (x (1/(sin(x))³))
= 0 (1/(sin(0))³)
= 0 x 1/0 (which is also undefined).
Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.
Therefore,
The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.
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Need help with the answer
Answer:
sine(∡DAB) = 0.5
Step-by-step explanation:
∡\(ACD=\)∡\(ADB\) = 60°
∡\(DAB=(180-90-60)^{o} =30^{o}\)
\(sin(30^{o})= 0.5\)
Hope this helps
Choose any number, say 20, and divide 729 by 20 ignoring any remainders. " 729/20 = 36 " Find the average of 20 and 36. 20 + 36 / 2 = 28. " Repeat the process until the estimate is the same as the quotient (until the remainder is 0). " 729 / 27 = 27.
Answer:
Answer is solved in the explanation below.
Step-by-step explanation:
Solution:
We have to repeat the process until the estimate is the same as the quotient and remainder = 0. Which can be done only in the case of value = 27 (remainder = 0)
729/27 = 27 (remainder 0)
Let's I am starting this process from 19
So,
729 divided by 19 = 38.3684
Ignoring the remainders
729 divided by 19 = 38
Now, average of 19 and 38 = (19+38)/2 = 28
729 divided by 28 = 26.03
ignoring the remainders = 26
Now, average of 28 and 26 = (28+26)/2= 54/2 = 27
So,
729 divided by 27 = 27
Hence,
estimate is the same as quotient ( and remainder = 0)
Three blocks are shown: Block A has mass 3 kilograms, length 8 centimeters, height 2 centimeters, and width 1 centimeters. Block B has mass 4 kilograms, length 1 centimeters, height 8 centimeters, and width 2 centimeters. Block C has mass 4 kilograms, length 8 centimeters, height 1 centimeters, and width 2 centimeters. Which statement is correct? (1 point) a Block A has the greatest density. b Block B has the least density. c The density of Block A is equal to the density of Block B. d The density of Block B is equal to the density of Block C.
Answer:
b & c
Step-by-step explanation:
4. Amy, Betty and Carol have 96 books altogether. Betty has 6 books less than Amy and Carol has half as many as Betty. How many books does each girl have?
The Amy has 42 books, Betty has 36 books, and Carol has 18 books.
Let's set up equations to represent the given information:
Let A represent the number of books Amy has.
Let B represent the number of books Betty has.
Let C represent the number of books Carol has.
Let's say Amy has x books.
Betty has 6 books less than Amy, so Betty has (x - 6) books.
Carol has half as many books as Betty, so Carol has (x - 6)/2 books.
According to the problem, the total number of books they have is 96.
So, we can write the equation:
x + (x - 6) + (x - 6)/2 = 96
To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:
2x + 2(x - 6) + (x - 6) = 192
2x + 2x - 12 + x - 6 = 192
5x - 18 = 192
5x = 210
x = 42
Amy has 42 books.
Betty has (42 - 6) = 36 books.
Carol has (36)/2 = 18 books.
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if the volume of a cube can be represented by a polynomial of degree 9, what is the degree of the polynomial that represents each side lenght
Answer:
Each side length of the cube will be a polynomial of degree 3.
A person invests 4000 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5900 dollars?
Answer:
t = 6.8 years
Step-by-step explanation:
The formula for compound interest is
\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.
We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal). We must solve for t and round to the nearest tenth:
\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)
1) Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets?
2) Over the winter it snowed 36 days out of 40 days. What is the snow days to days ratio in simple form?
3) The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys participated?
1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios. To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities. The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other. The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refer to:
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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.
2)The snow days to days ratio is 20:1
3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.
Define ratio?
A ratio is a ratio that compares two quantities.A proportion is the difference between two ratios.To write a ratio, do the following: Determine whether the ratio is a part-to-part or a part-to-whole ratio. If necessary, compute the parts and total.The ratio is defined as the division of two numbers or quantities.The ratio is a relationship between the quantities of two or more objects that indicates how much of one is contained in the other.The ratio formula can be used to convert a ratio into a fraction. a:b = a/b is the ratio formula for any two quantities, say a and b.To learn more about ratio refers to:
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Can someone help with this please? I think it has to do with the Pythagorean theorem.
Answer:
2 sqrt(13)
Step-by-step explanation:
We can use the Pythagorean theorem
The x value between A and B is 4 units and the y value is 6 units
The distance is
d = sqrt( x^2 + y^2)
= sqrt( 4^2 + 6^2)
= sqrt( 16+36)
= sqrt(52)
= sqrt(4*13)
= 2 sqrt(13)