The measure of angle 1 formed as two lines intersect inside the circle is 79 degrees.
What is the measure of angle 1?To determine the measure of angle 1, we need to first find the supplementary angle of angle 1 using the internal angle theorem.
The internal angle theorem states that, when two lines intersect in a circle, an internal angle is half the sum of its two opposite arcs.
Hence;
Internal angle = 1/2 × ( Major arc + Minor arc )
From the diagram:
Major arc = 146 degrees
Minor arc = 56 degrees
Plug these values into the above formula:
Internal angle = 1/2 × ( Major arc + Minor arc )
Internal angle = 1/2 × ( 146 + 56 )
Internal angle = 1/2 × 202
Internal angle = 101 degrees
Hence, the supplement of angle 1 equals 101 degrees.
Since supplementary angles sum up to 180 degrees:
Measure of angle 1 + 101 = 180
Measure of angle 1 = 180 - 101
Measure of angle 1 = 79 degrees
Therefore, angle 1 measures 79 degrees.
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1) Venn-diagram of-
AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}
Answer:
AUBUC= { a,b,c,d,e,f,g,h,i,o,u}
What is the solution to this system of linear equations?
x-3y=-2
x+3y=16
1.(7,3)
2.(3,7)
3.(-2,-3)
4.(-3,-2)
mary's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs mary 5.30 per pound, and type b coffee costs 4.2 per pound. this month, mary made 148 pounds of the blend, for a total cost of 694.2 . how many pounds of type b coffee did she use?
Mary used 66 pounds of type A coffee and 82 pounds of type B coffee to make a total of 148 pounds of the blend, with a total cost of $694.20.
Let's assume Mary used x pounds of type A coffee and (148 - x) pounds of type B coffee.
The cost of type A coffee is $5.30 per pound, so the cost of the type A coffee used is 5.30x.
The cost of type B coffee is $4.20 per pound, so the cost of the type B coffee used is 4.20(148 - x).
According to the given information, the total cost of the blend is $694.20. Therefore, we can set up the equation:
5.30x + 4.20(148 - x) = 694.20
Simplifying and solving for x
5.30x + 621.60 - 4.20x = 694.20
1.10x = 72.60
x = 66
Mary used 66 pounds of type A coffee. Therefore, she used (148 - 66) = 82 pounds of type B coffee.
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what is the minimum number of us coins mary needs to ensure she is capble of making change for any amount of money from one cent to 99 cents?
Mary needs a minimum of 4 US coins to ensure she can make change for any amount of money from one cent to 99 cents.
To cover all possible amounts from one cent to 99 cents, Mary needs coins that can represent different values. The US coins available for this purpose are pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents).
To find the minimum number of coins needed, we should select the coins with the highest denominations first. In this case, we can use the following approach:
1. Start with a quarter (25 cents). This coin alone can cover any amount up to 25 cents.
2. Add a dime (10 cents) to cover amounts up to 35 cents.
3. Add a nickel (5 cents) to cover amounts up to 40 cents.
4. Finally, add a penny (1 cent) to cover amounts up to 41 cents.
With these four coins (quarter, dime, nickel, and penny), Mary will be able to make change for any amount of money from one cent to 99 cents. This combination ensures that she has the necessary denominations to represent all possible amounts within that range.
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solve the following methods
don't know when you find out tell me
What is the hundredth digit of pi? This would include the 3 in the beginning.
2. a) Show that vectors x and y are orthogonal? X= ⎣
⎡
−2
3
0
⎦
⎤
,Y= ⎣
⎡
3
2
4
⎦
⎤
b) Find the constant a and b so that vector z is orthogonal to both vectors x and y ? z= ⎣
⎡
a
b
4
⎦
⎤
Therefore, the constant a is -48/13 and the constant b is -32/13, such that vector z is orthogonal to both vectors x and y.
To show that vectors x and y are orthogonal, we need to verify if their dot product is equal to zero. Let's calculate the dot product of x and y:
x · y = (-2)(3) + (3)(2) + (0)(4)
= -6 + 6 + 0
= 0
Since the dot product of x and y is equal to zero, we can conclude that vectors x and y are orthogonal.
b) To find the constants a and b such that vector z is orthogonal to both vectors x and y, we need to ensure that the dot product of z with x and y is zero.
First, let's calculate the dot product of z with x:
z · x = (a)(-2) + (b)(3) + (4)(0)
= -2a + 3b
To make the dot product z · x equal to zero, we set -2a + 3b = 0.
Next, let's calculate the dot product of z with y:
z · y = (a)(3) + (b)(2) + (4)(4)
= 3a + 2b + 16
To make the dot product z · y equal to zero, we set 3a + 2b + 16 = 0.
Now, we have a system of equations:
-2a + 3b = 0 (Equation 1)
3a + 2b + 16 = 0 (Equation 2)
Solving this system of equations, we can find the values of a and b.
From Equation 1, we can express a in terms of b:
-2a = -3b
a = (3/2)b
Substituting this value of a into Equation 2:
3(3/2)b + 2b + 16 = 0
(9/2)b + 2b + 16 = 0
(9/2 + 4/2)b + 16 = 0
(13/2)b + 16 = 0
(13/2)b = -16
b = (-16)(2/13)
b = -32/13
Substituting the value of b into the expression for a:
a = (3/2)(-32/13)
a = -96/26
a = -48/13
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2. What is the x-coordinate of the midpoint between the points
(5,7) and (11,6)?
Step-by-step explanation:
Use the midpoint formula
M (5-11/2; 7-6/2)
M (-3; 1/2)
X-coordinate is -3
Answer:
x- coordinate = 8
Step-by-step explanation:
The x- coordinate of the midpoint is the average of the x- coordinates of the 2 endpoints, that is
\(\frac{5+11}{2}\) = \(\frac{16}{2}\) = 8 ← x- coordinate of midpoint
Level 25
A group of 8 people are ordering pizza. Each person wants 3 slices
and each pizza has 5 slices.
How many pizzas should they order?
Answer:
8 x 3 = 24. 24/5 is greater than 4 so they must order 5 pizzas.
What is the average length encoding of a letter for a huffman code of these letters and their frequencies: a : 0.15, b : 0.25, c : 0.20, d : 0.35, e : 0.05?
The average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.
We have,
Frequencies:
a = 0.15 = 15,
b = 0.25 = 25,
c = 0.20 = 20,
d = 0.35 = 35,
e = 0.05 = 5,
So,
Now,
According to the question,
We will make Huffman tree,
i.e.
a = 0.15 = 15,
b + c = 25 + 20 = 45
d + e = 35 + 5 = 40,
Now,
a + b + c + d + e = 100
So,
a = 11 = 2 digits
b = 101 = 3 digits
c= 100 = 3 digits
d= 01 = 2 digits
e= 00 = 2 digits
And,
We know that,
Total bits required to represent Huffman code = 12.
So,
Now,
The average code length = a * 2 digits + b * 3 digits + c * 3 digits + d * 2 digits + e * 2 digits
i.e.
The average code length = 15 × 2 + 25 × 3 + 20 × 3 + 35 × 2 + 5 × 2
On solving we get,
The average code length = 245
Hence we can say that the average length encoding of a letter for a Huffman code of the letters and their given frequencies will be 245.
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Y varies directly with the square of x. If y=40 when x=4, find y when x=7
Answer:
y = 245/2
Step-by-step explanation:
y = k x^2
Where k is the constant of variation
Let y= 40 and x=4
40 = k *(4)^2
40 = k*16
40/16 = k
5/2 = k
y =5/2 x^2
Let x=7
y = 5/2 (7)^2
y = 5/2(49)
y = 245/2
Please help me ASAP with this math problem
Answer:
Root( c square -9)
Step-by-step explanation:
The answer u have is the answer for a^2
Answer:
Root (c square -9)
Step-by-step explanation:
...yea i just need help (:
Answer:
2/3-4
3 1/3
-1*3.3=-3.3
-3 1/3 divided by 5/6
-4
so a
Hope This Helps!!!
Answer:
-2/3+4÷5/6
-2+12÷3÷5/6
10/3÷5/6
10/3x6/5
2/1x2/1
4/1
4
Step-by-step explanation:
hope this is helpful
What is the slope of a line if x equals (-2 and y equals 4?
Answer:
can't be determined unless you give two points which is two sets of x and y points
how do we determine the significance of the slope in regression?
The significance of the slope in regression can be determined by conducting a hypothesis test
The slope of the regression line in a regression analysis shows how dependent variable changes as the independent variable increases by a unit. A hypothesis test on a slope coefficient, commonly referred to as the beta coefficient or the regression coefficient, can be used to ascertain the significance of the slope. The slope coefficient is compared to a null hypothesis value of zero in the hypothesis test.
The null hypothesis is rejected and it is determined that there is a significant association between the independent and dependent variables if the p-value for the slope coefficient is less than the significance threshold. Therefore, slope is not equal to zero and there is an association amongst changes in the independent variable and those in the dependent variable.
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Which is the quotient of 17. 51 +3.4?
O A. 5.07
O B. 5.15
OC. 5.21
D. 5.25 HELP THIS ENDS IN 10 MINUTES
Answer:
5.15
Step-by-step explanation:
17.51 / 3.4 = 5.15
Answer and Explanation
5.15 or \(\frac{17.51}{3.4}\)__________________________________________________________
We can prove this is the answer by dividing both numbers.
__________________________________________________________
\(17.51\) = \(\frac{1751}{100}\)
\(3.4\) = \(\frac{17}{5}\) = \(3\ \frac{2}{5}\)
__________________________________________________________
\(\frac{1751}{100}\) \(\div\) \(\frac{17}{5}\) = \(?\)
\(\frac{17.51}{3.4}\) \(or\) \(5.15\)__________________________________________________________
So, that means the answer is \(5.15\)
__________________________________________________________
Hope this helps! <3
__________________________________________________________
PLS PLS PLS HELP!!!! THIS IS DUE TODAYYYYY!!!!!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS OR YOU WILL BE REPORTED!!!!!!!!! I AM GIVING BRAINLIEST!!!!!!!!!
Which statement is true?
can someone help me pls?
What is the theoretical probability of
randomly picking a triangle from the shapes
below?
A
B
С
1
4
3
7
Answer:
I don't know. I need the whole question to answer.
Step-by-step explanation:
Sorry
Clark spent a total of $38 on a pair of shoes and a new jacket. The shoes cost $6 more than the jacket. Write a system of equations to find the cost of the shoes x and the cost of the jacket y. Then find the cost of the shoes.
Equation 1: x + y = $38
Equation 2: x = y + $6
Replace x in the first equation with the second equation :
y + 6 + y = 38
Simplify:
2y + 6 = 38
Subtract 6 from both sides:
2y = 32
Divide both sides by 2:
Y = 16
Now you know y, the cost of the jacket is $16
The shoes were $6 more so 15 + 6 = $22
Jacket cost $16
Shoes cost $22
Shoes: $22
Jacket: $16
Divide 38 by 2, which is 19
take away half of 6, which is 3.
Take 3 from 19, resulting in 16 which is your jacket
Add 3 to 19, resulting in 22 which are your shoes
Sophia scored 92% in a math test. If the test had 50 questions, how many did she get right? *
Answer:
46 questions correct
Step-by-step explanation:
100% = 50 questions2% = 1 question92% = 46 questionsHelp please :) will give brainlist
Answer:
34.9
Step-by-step explanation:
Because if you multiply then divide by 2 that will help you alot.
help will give brainliest
The rate of the given situation will be 2 inches per minute.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The distance is a one-seventh inch and the time is one-fourteenth minutes. Then the rate as a unit rate is given as,
Rate = (1/7) / (1/14)
Rate = (1/7) x (14/1)
Rate = 14/7
Rate = 2 inches per minute
The rate of the given situation will be 2 inches per minute.
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Convert 2 3/4 to a decimal number.
Answer:
2.75
Step-by-step explanation:
3/4 is .75 in decimal
Look at the picture to see question plz help quickly and step by step
Answer: 16.6
Step-by-step explanation:
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data
How to explain the informationThe answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.
In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.
Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.
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A color document measures 10 by 15 inches. It must be reduced so that the longest side measures 3 inches. What will the dimensions of the document be once it is resized?
Answer:
C
Step-by-step explanation:
Assume that the demand curve D(p) given below is the market demand for widgets:
Q = D(p) = 1628 - 16p, p > 0
Let the market supply of widgets be given by:
0 = S(p) =
- 4 + 8p, p > 0 where p is the price and Q is the quantity. The functions D(p) and S(p) give the number of widgets demanded and
supplied at a given price
What is the equilibrium price?
To find the equilibrium price, we need to determine the price at which the quantity demanded is equal to the quantity supplied. In other words, we need to find the price where D(p) = S(p).
Given the demand function D(p) = 1628 - 16p and the supply function S(p) = -4 + 8p, we can set them equal to each other:
1628 - 16p = -4 + 8p
Simplifying the equation, we combine like terms:
24p = 1632
Dividing both sides by 24, we find:
p = 68
Therefore, the equilibrium price is $68. At this price, the quantity demanded (D(p)) and the quantity supplied (S(p)) are equal, resulting in a market equilibrium.
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Which relation is a function?
A
(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
B
(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
C
(9, -3), (9, 3), (4, -2), (4, 2), (0, 0)
D
(1, 0), (3, 0), (1, 1), (3, 1), (1, 3)
The relation (1, 1)\(,\) (2, 2)\(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .
In a relation is the x coordinate repeats , then it cannot be called a function
In the question ,
the relations are given as
Part(A)
(1, 1), (2, 2)\(,\) (3, 3), (4, 4) \(,\)(5, 8)
we see that , the x coordinate means the Domain is 1 , 2, 3 ,4 , 5 .
and since no number is repeating , this relation can be called as a function .
Part(B)
(2, 7), (6, 5), (4, 4)\(,\) (3, 3), (2, 1)
we see that , the x coordinate means the Domain is 2 , 6, 4 ,3 , 2 .
and the number 2 is repeating , this relation cannot be called a function .
Part(C)
(9, -3), (9, 3), (4, -2) \(,\) (4, 2), (0, 0)
we see that , the x coordinate means the Domain is 9 , 9, 4 ,4 , 0 .
and the number 9 and 4 are repeating ,this relation cannot be called a function .
Part(D)
(1, 0), (3, 0), (1, 1) \(,\)(3, 1), (1, 3)
we see that , the x coordinate means the Domain is 1 , 3, 1 ,3 , 1 .
and the number 1 and 3 are repeating , this relation cannot be called a function .
Therefore , The relation (1, 1), (2, 2) \(,\) (3, 3), (4, 4), (5, 8) is a function , the correct option is (A) .
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a football team loses 4 yards on each of five plays.what is the teams total loss?
Answer:
The football team lost a total of 20 yards after the 5 plays.
Step-by-step explanation:
The football team lost a total of 20 yards after the 5 plays.
Answer:
40
Step-by-step explanation:
if they lose 4 years 5 times, you need to multiple 4x5= which is also 4+4+4+4+4 you get 20 from that