The measure of an angle is 38.1 degrees. What is the measure of its supplementary angle

Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

Answer:

y=x/3+2

Step-by-step explanation:

Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

3y=x+6

We need y so we divide both sides by 3 and we get

y=x/3+2

Answer:

y=1/3 + 2

Step-by-step explanation:

-x+3y=6

add x to both sides (if you add the same amount to both sides, the equation is still equal)

3y=-x+6

divide the whole thing by 3

y=1/3 + 2

so basically your slope is 1/3. That means you rise one, over three.

Plot a point at 2 on the y axis, which is the vertical line on the graph.

Go up one box, and then go right 3 and plot another point.

Keep doing the rise 1 over 3 until you have enough points for a line. 2 points should do, but more points on a graph = a better line.

By the way, slope-intercept form is y=mx+b.

m = slope (steepness of line, 1/3)    b = y-axis intercept (the place that the line touches the y axis)

If you're still stuck with linear equations, take your equation and put it into Desmos graphing calculator, which can be found with a simple search.

Thanks, friend,

- throckmorton

Answer:

I think its Yes!

Step-by-step explanation:

Hope this helps!!!

Note: Consider we need to find the vertices of the triangle A'B'C'

Given:

Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.

Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).

To find:

The vertices of the triangle A'B'C'.

Solution:

If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

\((x,y)\to (y,-x)\)

Using this rule, we get

\(A(-3,6)\to A'(6,3)\)

\(B(2,9)\to B'(9,-2)\)

\(C(1,1)\to C'(1,-1)\)

Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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Answer:

0.7

Step-by-step explanation:

49 out of 63 so it is 49/63 which is 0.7777 inf

After transformation, the point (-1,2) in the image would be (-1,-2)

Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.

First, we must mirror the point (-1, 2) around the line y=-x.

(X, Y) is the rule (-y,-x)

you obtain (-1,2)—>(-2,1) (-2,1)

At this point, you must rotate (-2,1) by 90 degrees.

(X, Y) is the rule ( -y,x)

so (-2,1)—> (-1,-2) (-1,-2)

After transformation, the point (-1,2) in the image would be (-1,-2)

The complete question is,

What is the image point of (-1,2) after the transformation R 90° ry=-x

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Answer:

C=84∘, a=2, c=7

Step-by-step explanation:

Answer:

Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82

Step-by-step explanation:

1/16 for Washington County.

5/76 for Webster County.

so, let's bring both to the same denominator (bottom part of the fractions).

this is usual the LCM of both denominators.

since 16 = 2×2×2×2

76 = 2×2×19

the least common multiple (LCM) is the combination of the longest sequence per prime factor involved :

2×2×2×2×19 = 16×19 = 304

1/16 = 19/304

5/76 = 5× 1/76 = 5× 4/304 = 20/304

so, now we know, 20/304 > 19/304, and therefore Webster County has the greater fraction of adults, who enjoy gardening.

Step-by-step explanation:

What do you mean "no real roots" ?

if I understand correctly we have

2x² + 5kx + k = 0

the solutions for such a quadratic equating are

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = 5k

c = k

so, we get

x = (-5k ± sqrt(25k² - 8k))/4

why would that have no real solutions ?

e.g. k = 2

x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4

since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.

I don't understand what your need here.

Answer:

You will pay $42.50

Step-by-step explanation:

You will pay 50-7.5 which gives you 42.50

Answer:

Mode

Is the answer to this...

The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Answer:

I have no clue and I was wondering some questions also

Answer:

0.25 Irrational (?) used math celebrity for calc

Answer:chomai

Step-by-step explanation:chomai

The equivalent expression of \(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\) is \(\frac{8\sqrt y}{x}\)

The expression is given as:

\(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\)

Divide 128 by 2

\(\sqrt{\frac{64x^5y^6}{x^7y^5}}\)

Apply the law of indices to the variables

\(\sqrt{\frac{64y^{6-5}}{x^{7-5}}}\)

Evaluate the differences

\(\sqrt{\frac{64y}{x^2}}\)

Take the square root of 64

\(8\sqrt{\frac{y}{x^2}}\)

Take the square root of x^2

\(\frac{8\sqrt y}{x}\)

Hence, the equivalent expression of \(\sqrt{\frac{128x^5y^6}{2x^7y^5}}\) is \(\frac{8\sqrt y}{x}\)

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Answer:

Step-by-step explanation:

P=2pi*r/4=pi*5/2=7.85 miles

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

Answer:

D

Step-by-step explanation:

The number is 4.

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let n be the number in question; then, we can write the word problem as an equation like this:

⇒ (n/6) + 1/3 = 7/6

Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.  

⇒ 6(n/6) + 9(1/3) = 6(7/6)

⇒ n + 3 = 7

Subtract 3 from both sides,

⇒ n = 4

Hence, the number is 4.

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Answer:

225 red cars & 375 white cars  

Step-by-step explanation:

According to the specified ratio, there are 225 red cars and 375 white cars in the parking lot.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

given, There are 600 cars in the parking lot. The ratio of red cars to white cars is 3:5. let ratio is in the term of variable x

Thus,

3x + 5x = 600

=> 8x = 600

=> x = 75

Total number of red cars = 3x

Total number of red cars = 3 * 75

Total number of red cars = 225

Total number of white cars = 5x

Total number of white cars = 5*75

Total number of white cars = 375

Therefore, there are 225 red cars and 375 white cars in the parking lot as per the given ratio.

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Answer:

44

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

This is quite simple, Are you sure you can't do it on your own?

Answer:

Since the contractor already has 50 men, he needs to employ an additional 71 men to complete the project on time.

Step-by-step explanation:

Let's first find the total amount of work needed to be done, using the given information that the road is 3000 m long:

Total amount of work = 3000 m

We know that 50 men are employed and they work 8 hours per day. So the total man-hours worked in 20 days can be calculated as:

Total man-hours worked in 20 days = 50 men x 8 hours/day x 20 days = 8000 man-hours

We also know that only 1200 m of the road is completed in 20 days. So the amount of work remaining can be calculated as:

Remaining amount of work = Total amount of work - Completed work

Remaining amount of work = 3000 m - 1200 m = 1800 m

Now, we can calculate the total number of man-hours required to complete the remaining work:

Total man-hours required = Remaining amount of work / Productivity rate

Productivity rate = (8000 man-hours) / (1200 m) = 6.67 man-hours/m

Total man-hours required = (1800 m) x (6.67 man-hours/m) = 12,006 man-hours

To complete the remaining work in 10 days, each man needs to work 10 hours per day. Therefore, the total number of men required can be calculated as:

Total men required = Total man-hours required / (Hours per day x Days available)

Total men required = 12,006 man-hours / (10 hours/day x 10 days)

Total men required = 120.06

Rounding up to the nearest whole number, the contractor needs to employ 121 men.

The answer could be either

C or B

The cumulative frequency graph for the given data set is attached below. The median  of the data set is 45.5 .

a) The data set is given as:

Classes Frequencies

1-10         6

11-20 6

21-30 49

31-40 44

41-50 29

51-60 13

61-70 17

71-80 65

81-90 7

91-100 3

Now we  will use the data to form a cumulative frequency table:

Classes Frequencies cumulative  Frequencies

1-10 6  6                          6

11-20   6                      12

21-30  49                      61

31-40  44                      105

41-50  29                      134

51-60  13                      147

61-70  17                      164

71-80  65                      229

81-90  7                      236

91-100  3                      239

Hence the cumulative frequency graph is attached below.

Now from the graph we can estimate :

b)1) Median Class= (n/2)= value of 114th observation

observation lies in the class 41-50.

∴ The median class is 40.5-50.5.

Now,

∴L=lower boundary point of median class =40.5

∴n=Total frequency =229

∴cf=Cumulative frequency of the class preceding the median class =105

∴f=Frequency of the median class =19

∴c=class length of median class =10

Median = 45.5

c) Total number of students scoring more than 75 marks.

Hence we have to find the 75th percentile.

Therefore 75th percentile = (239-197) students = 42 students.

Hence 42 students got distinction.

d) Now the number of students whos scored less than 65 or less is 155

Hence the number of students who scored more than 65

= 239 -155

=  84

Required probability is 84 /239 = 0.351

Therefore the required probability is approximately 0.351 .

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Step-by-step explanation:

14d +9 <100

14d represents cost for dvds. 9 is the flat rate shipping. all must be less than 100

Answer:

An inequality that represents Chris' situation is 14d +9 <100.