a.
The angle ∠1 inscribes the arc AB, so its measure is half the measure of the arc, so we have:
\(\begin{gathered} \angle1=\frac{AB}{2} \\ \angle1=\frac{122\degree24^{\prime}}{2} \\ \angle1=61\degree12^{\prime} \end{gathered}\)b.
Since AC is the diagonal of the circle, the arc AC has 180°.
Angle ∠2 inscribes this arc, so we have:
\(\begin{gathered} \angle2=\frac{AC}{2} \\ \angle2=\frac{180}{2} \\ \angle2=90\degree \end{gathered}\)c.
In order to find arc BC, we can sum all three arcs and make it equal 360°:
\(\begin{gathered} AB+BC+AC=360\degree \\ 122\degree24^{\prime}+BC+180\degree=360\degree \\ BC=360\degree-180\degree-122\degree24^{\prime} \\ BC=57\degree36^{\prime} \end{gathered}\)3 ÷ 1/8 show your work on paper! :D
Answer:
\(3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 3 \times 8 = 24\)
Factorise fully the following:
a) 2x + 8
b) 3x – 12
c) 6x + 4
d) 18x - 9
Answers
a)2x+8
2(x+4)
b)3x-12
3(x-4)
c)6x+4
2(3x+2)
d)18x-9
9(2x-1)
please help and add steps!!
Answer:
so what yhu want to do is 9 times 3 than 5y times 37
Step-by-step explanation:
Answer:
Step-by-step explanation:
7x + 6 + 15x - 2 = 180 {Linear Pair}
7x + 15x + 6 - 2 = 180 {Combine like terms}
22x + 4 = 180
22x = 180 - 4
22x = 176
x = 176/22
x = 8
7x + 6 = 7*8 + 6 = 56 + 6 = 62
5y - 3 = 62 {Vertically opposite angles are equal}
5y = 62+ 3
5y = 65
y = 65/5
y = 13
4) 4x - 30 + x + 90 = 180 {supplementary angles}
5x + 60 = 180
5x = 180 - 60
5x = 120
x = 24
x = 24
Smallest angle = 4x - 30 = 4*24 - 30 = 96 -30 =66
Mr. Morales has 10 eggs. He uses 1/4 dozen. How many dozen eggs does
he have left?
Answer:
7 he has 7 eggs left
Step-by-step explanation:
1 dozen is 12 soo... that should help
determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. X = 0, 1, 9P( X = x ) | 0.41 | 0.6 | 0.06
Since the probabilities lie exclusively between 0 and 1 and the sum of probabilities is equal to 1 , therefore the yes , the distribution is discrete probability distribution.
As the probabilities range from 0 to 1, and the sum of probability equals 1.
Discrete probability distribution is a sort of probability distribution that provides all potential values of a discrete random variable along with the related probabilities. In other words, a discrete probability distribution describes the possibility of each potential value of a discrete random variable occurring.
Some common discrete probability distributions are geometric distributions, binomial distributions, and Bernoulli distributions. This page defines a discrete probability distribution, as well as its formulas, types, and numerous instances.
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A 799.99 television is selling for 13% off. Find the final price of the television if the sales tax is 6%
when converting 0.1234 as a fraction, we write a fraction with a numerator of 1234 and a denominator of what?
1,00
100,000
10
10,000
Answer:
100
Step-by-step explanation:
0.1234 as a fraction is 1234/10,000.
So, when converting 0.1234 as a fraction, we write a fraction with a numerator of 1234 and a denominator of 10,000.
The correct option is: D.
Here, we have to convert 0.1234 to a fraction, we count the number of decimal places and make the numerator the number formed by the digits after the decimal point, and the denominator will be a 1 followed by the same number of zeros as the decimal places.
In this case, there are four decimal places in 0.1234.
So the fraction will be:
Numerator = 1234
Denominator = 1 followed by four zeros = 10,000
Therefore, 0.1234 as a fraction is 1234/10,000.
So, when converting 0.1234 as a fraction, we write a fraction with a numerator of 1234 and a denominator of 10,000.
The correct option is: D.
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-3/5(1+5n) =102
Solve for n
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5).
What is the x-intercept???
image is there
-4 is the x intercept.as in the values on the x-axis
Answer:
Im pretty sure it the first one
Step-by-step explanation:
4 ft
He wants to cover the entire model, including the base, with
gray paper.
How many square feet of paper will he need to cover the
model?
The square feet of paper that will cover the model is 56 ft squared.
How to find the surface area of a pyramid?The model above is a square base pyramid. Therefore, the square feet of papers he will need to cover the model is the surface area of the model.
Therefore,
surface area of the square base pyramid = A + 1 / 2 ps
where
A = surface area of the pyramidp = perimeter of the bases = height of the pyramidTherefore,
p = 4 × 4 = 16 ft
s = 5 ft
A = 4² = 16 ft²
Therefore,
surface area of the square base pyramid = 16 + 1 / 2 × 16 × 5
surface area of the square base pyramid = 16 + 40
surface area of the square base pyramid = 56 ft²
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. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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how many times does to go into 50000
Answer: 2500
Step-by-step explanation:
Answer:
2500
Step-by-step explanation:
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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mya ran 5/8 mile, hank ran 4/7 mile, and tommy ran 7/11. who ran the farthest
Answer:
Tommy, 7/11 miles
Step-by-step explanation:
5/8 equals .625, 4/7 equals .571, 7/11 equals .636. Therefore, Mya ran the farthest
Type an equation of a standard parabola that is shifted right 3 units. Helppp asap
Answer:
y=(x+5)2 hope this helped!!! :D
Step-by-step explanation:
Find 4 + 20, if ü -< -3, -7> and =< 4, -2 >
<-4,-32 >
<7,-3>
<-8, -30
< 5, -11 >
2 0 0 0
Given statement solution is :- The Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
To find the sum of 4 + 20, we simply add the two numbers together:
4 + 20 = 24
As for the given vectors, let's perform the requested calculations:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >
Therefore, the Vector Calculations and Addition results are as follows:
ü -< -3, -7 > = < -3, -7 >
=< 4, -2 > - < -4, -32 > = < 0, -34 >
< 7, -3 > - < -8, -30 > = < 15, 27 >
< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >
And 4 + 20 = 24.
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Which function is decreasing on the same interval as the function graphed here?
f (x)
61
N
-2
O A.
O B.
O c.
O D
4
2
-2
10
-41
2
A.
★
k (2) = -2x2 – 82 + 5
भ
Ko
j (±) = 22 + 4 – 4
=
9 (‡) = 322
- 12x + 18
h (x) = 2x2 + 8x + 3
The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.
To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.
Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.
Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.
Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).
Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).
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I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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Select all that apply.
Choose all the metric units of length.
millimeter
kilometer
kilogram
mile
meter
centimeter
inch
liter
Answer:
a,b,c,e,h
Step-by-step explanation:
Answer:
millimeters, centimeters, meters, and kilometers
Step-by-step explanation:
These are the metric units that measure length. The question throws you off and answers that are metric that measure weight as well but the question asks for metric that measures length.
What can you conclude about the population density from table provided
The population density of an area is the number of people living in per unit area. The most populated region is Region A.
What is Population Density?The population density of an area is the number of people living in per unit area. It is given by the formula,
\(\text{Population Density}=\dfrac{\text{Population of the area}}{\text{Total area}}\)
The population density of the different regions is as follows,
Region A = 20,178 person /521 km² = 38.729 person/km²
Region B = 1,200 person /451 km² = 2.66 person/km²
Region C = 13,475person /395 km² = 34.114 person/km²
Region D = 6,980 person /426 km² = 16.385 person/km²
Hence, The most populated region is Region A.
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4 + 1/3. and 4/5 + 1/3
Answer:
4 + 1/3 = 13/3
4/5 + 1/3 = 17/15
Step-by-step explanation:
Brain-List?
Answer:
1.) 4 1/3, 2.) 1 2/15
Step-by-step explanation:
4 + 1/3 is 4 1/3, I got this by adding the fraction to the whole number to make a mixed number. For 4/5 + 1/3, we need to find a common denominator, let's find the LCM (Lowest Common Multiple) of 3 and 5, the LCM is 15. Now, we need to multiply 1/3 by 5/5, and we need to multiply 4/5 by 3/3. This gets us 5/15+12/15. We only need to add the top numbers. This gets us 17/15. Since this is an improper fraction, we need to make it into a mixed number, this gets us 1 2/15. I hope this helps!
2.6x10^2+3.9x10^11 what is this
Answer:
10 · 13 (2 + 3 · \(10^{9}\) w)
Step-by-step explanation:
hope this helps!!!
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
Write 3 times a number y is -42 as an equation Then solve the equation
Answer:
Equation 3y = -42Solved: y = -14Step-by-step explanation (to solve the equation):
Divide each side by 3 to cancel out the 3 next to y. It should now look like this: y = -14I hope this helps!
Answer:
3y = -42
y = -14
Step-by-step explanation:
Setting up the equation is the first step for this.
To start, "times a number" is multiplication. And since the sentence said "3 times a number y" you can write out 3 x y OR 3y.
Finally, "is -42" is the word form of saying "= -42"
That will give you the equation of 3y = -42
Solving 3y = -42:
Step 1: Divide both sides of the equation by 3
3y/3 = - 42/3
Since any expression divided by itself equals 1, we can turn 3y/3 into just y. This will make our final equation y = -42/3
Step 2: Solve for -42/3, which will get you your answer of y = -14.
Hope I can help!
How is everyone doing around this time!
( Also f r e e e p o i n t s s )
Give a practical interpretation of the estimate of the y-intercept of the regression line. For each additional room in the house, we estimate the appraised value to increase $74,800. We estimate the appraised value for any house to be $74,800. There is no practical interpretation, since a house with 0 rooms is nonsensical. For each additional room in the house, we estimate the appraised value to increase $17,800.
Answer:
The answer is "Option D"
Step-by-step explanation:
Please find the complete question in the attachment file.
House's valued worth (in milles) = 74.80 + 20.81 (number of rooms). It indicates that we will need to pay $ 20810 per additional amount throughout every actual room in the house. It is a complete risk, that becomes forecast to expand $20,810 for every additional part of the house, that's why choice D is correct.
describe PQ with _ above the two letters
Line Segment, Ray, Line, Ray
2) For these symbols, we are describing Geometric
Line Segment has two endpoints.
Ray one endpoint and goes infinitely in one direction
Line, no beginning and no end.
What is the value of x?
to
x = [? ]°
Answer: 30
Step-by-step explanation:
(Assuming the line is a tangent)
NO LINKS!! Each graph represents a relation. Determine the domain and range. 2ii
Answer:
7) Domain: (-∞, ∞)
Range: [-1, ∞)
8) Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 5From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
From inspection of the graph, the minimum y-value is y = -1.
The end behavior of the relation is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the range of the relation is restricted: [-1, ∞)
Question 6From inspection of the graph, the line is continuous.
The arrows either end of the line indicate that the line continues indefinitely in those directions.
Therefore, the domain of the relation is unrestricted: (-∞, ∞)
The end behavior of the function is:
\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)
\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)
Therefore, the domain of the relation is unrestricted: (-∞, ∞)