Triangle XZY is a rotation of scalene triangle ABC which statements are correct? Choose ALL that apply

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

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In both cases, pulley C is the fastest one since its radius is the smallest one.

In this problem we find two cases of power transmition, the first example consists in a rigid transmition system formed only by pulleys and the second example consisting in a flexible transmition system formed by belts and pulleys.

Ideally, power is conserved throughout every system and rotational velocity of the pulley is inversely proportional to its radius. We need to determine does rotate faster in each case.

n ∝ 1 / R

Thus, we find the following results:

Case 1: Pulley C is the fastest pulley since it has the smallest radius.

Case 2: Pulley C is the fastest pulley since its has the smallest radius.

There is no additional information (i.e. any angular speed of pulley, geometric dimensions in the second case) that may allows us to determine whether if rigid transmition system or a flexible transmition system is faster.

The representation only allows us to determine what pulley is the fastest within a system.

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Answer:

K & M

Step-by-step explanation:

K & M are parallel lines because they are straight and they can't touch each other.

Hope this helped!

Answer:

Step-by-step explanation:

x must be an even number from 0 to 9. So x can be

0 2 4 6 8

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

A number is divisible by 2 if the last digit is even

Possible digits are: 0, 2, 4, 6, 8

Note that the Polynomial Expression for to represent the total surface area of the two drums is: 4πrh + 4hr².

A polynomial expression is any expression that consists of variables, constants, and exponents and is combined using mathematical operators such as addition, subtraction, multiplication, and division.

According to the number of terms in the expression, polynomial expressions are classed as monomials, binomials, or trinomials.

Given that the total surface area of one cylinder is:

2πrh + 2πr²,

The total surface area of two drums will therefore be:

(2πrh + 2πr²) * 2

⇒ 4πrh + 4hr²

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Answer: See below

Step-by-step explanation:

Median is the value that separates the higher data and lower data. In simple terms, it is the "middle" value of the whole set of data. There are two different ways to solve for the median.

1. If the data set has an odd number of values, line the values up in increasing order. Then the value or number that lies in the middle will be the median.

2. If the data set has an even number of values, line the values up in increasing order. Then there will be two number that lies in the "middle" together. We add them up and divide them by 2. The average of the two numbers will be the median of the set.

Hope this helps!! :)

Please let me know if you have any questions.

Answer:

true

Step-by-step explanation:

Answer:

6666

Step-by-step explanation:

Answer:24ft

Step-by-step explanation:

The solution of the equation using the substitution method is given as x = -1 and x = 2.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into one linear equation with just one variable, making it much simpler to solve.

The two equations are y+3x=0 and y-6=-3x².

The first expression can be written as:

y + 3x = 0

y = -3x

Substitute the value of y in the second equation:

y-6=-3x²

-3x - 6 = - 3x²

Rearrange the equation:

3x² - 3x - 6 = 0

Take 3 as the common term from the equation:

x² - x - 2 = 0

x² - 2x + x - 2 = 0

x(x - 2) + 1(x - 2) = 0

(x + 1) (x - 2) = 0

x = -1 and

x = 2

Hence, the solution of the equation using the substitution method is given as x = -1 and x = 2.

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The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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The first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Now,

Find the first five ordered pairs for the sequence as;

The sequence is,

⇒ a(n) = 2 + 4 (n - 1)

Substitute n = 1;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(1) = 2 + 4 (1 - 1)

⇒ a(1) = 2

Substitute n = 2;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(2) = 2 + 4 (2 - 1)

⇒ a(2) = 2 + 4

⇒ a(2) = 6

Substitute n = 3;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(3) = 2 + 4 (3 - 1)

⇒ a(3) = 2 + 4 × 2

⇒ a(3) = 2 + 6

⇒ a (3) = 8

Substitute n = 4;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(4) = 2 + 4 (4 - 1)

⇒ a(4) = 2 + 4 × 3

⇒ a(4) = 2 + 12

⇒ a(4) = 14

Substitute n = 5;

⇒ a(n) = 2 + 4 (n - 1)

⇒ a(5) = 2 + 4 (5 - 1)

⇒ a(5) = 2 + 4 × 4

⇒ a(5) = 2 + 16

⇒ a(5) = 18

Thus, All the first five ordered pairs for the sequence are;

⇒ (1, 2) , (2, 6) , (3, 8) , (4, 14) , (5, 18)

And, The graph of the first five ordered pairs for the sequence are shown in figure.

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Using the double-declining-balance method of depreciation, the completion of the table as shown is as follows:

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                  Depreciation        B.O.Y             Expense   Depreciation  Value

                       B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000           $0           $30,000        $12,000          $12,000  $18,000

2   $30,000   $12,000          $18,000          $7,200         $19,200  $10,800

3   $30,000   $19,200          $10,800          $4,320         $23,520   $6,480

The double-declining-balance method is a depreciation method that allocates more cost to the earlier years of the asset's life.

The double-declining-balance method uses twice the straight-line rate and is computed as the product of 100/estimated useful life multiplied by 2.

The double rate is applied at the end of the year's balance for each year's depreciation expense.

The difference between the previous year's ending balance and the residual value is taken as the depreciation expense for the last year.

Auto = $30,000

Estimated life = 5 years

Residual value = $800

Depreciable amount = $29,200 ($30,000 - $800)

Straight-line depreciation rate = 20% (100/5)

Double-declining depreciation rate = 40% (20% x 2)

1st year = $12,000 ($30,000 x 40%)

2nd year = $7,200 ($18,000 x 40%)

3rd year =  $4,320 ($10,800 x 40%)

4th year = $2,592 ($6,480  x 40%)

5th year = $3,088 ($3,888 - $800)

Year Cost   Accumulated   Book Value  Depreciation Accumulated  Book

                  Depreciation        B.O.Y             Expense   Depreciation  Value

                       B.O.Y                                                               E.O.Y       E.O.Y

1    $30,000           $0           $30,000        $12,000          $12,000  $18,000

2   $30,000   $12,000          $18,000          $7,200         $19,200  $10,800

3   $30,000   $19,200          $10,800          $4,320         $23,520   $6,480

4   $30,000  $23,520           $6,480          $2,592           $26,112   $3,888

5  $30,000    $26,112           $3,888           $3,088          $29,200     $800

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Enola needs to contribute $4,330.68 per month to the account.

Let's denote the monthly contribution as X.

The interest rate is 0.4% per month.

Since Enola plans to save for 3 years, the total number of months is:

= 3 * 12

= 36 months.

Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods

We will plug values:

$5,000 = X * (1 + 0.004)^36

X = $5,000 / (1 + 0.004)^36

X = $5,000 / (1.004)^36

X = $4,330.68248

X = $4,330.68.

The interest rate is given as follows:

5%.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest accrued is given as follows:

I(t) = Prt.

For each case, the interest accrued is given as follows:

The total interest was of 13,500, hence:

I(3) + I(5) = 13500.

Meaning that the interest rate is obtained as follows:

120,000r + 150,000r = 13500

r = 13500/270000

r = 0.05.

r = 5%.

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Answer: I think it’s C.

sorry if it’s wrong❣️.

Answer:

10.4

Step-by-step explanation:

So let's do the basic, adding. 5 kilometers on Saturday and 4 on part of Sunday. That's 9. So let's save that. Now for the meters. We know that there are 1000 meters in a kilometer. So add up 600 and 800. That gives you 1400 meters total. Now if we divide 1400 by 1000, we get 1.4. So that is how many kilometers he rode on Friday and and the other part of Sunday. SO now we just add everthing up. 9km+1.4km = 10.4, your answer

Answer:

c

Step-by-step explanation:

The values of the measures of angle x and angle y in the lines are 15 degrees and 29 degrees

Given that the lines AC and BD are parallel lines

Then we have the following congruent angles

2x + 5 = 35

The angles are congruent because they are corresponding angles

Having mentioned that, we have

2x = 30

Divide by 2

x = 15

Next. we have

5y + 2x + 5 = 180 ---- angle on a straight line

This gives

5y + 2(15) + 5 = 180

When evaluated, we have

5y = 145

Divide by 5

y = 29

Hence, the value of y is 29 degrees

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Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

there is no question plzz attach it first

Answer:

she was 13.1 meters below sea level in 1 minute

Step-by-step explanation:

make it into a fraction 5/65.5 (after 5 minutes, she is 65.5 meters underwater)

divide the numerator (representing the minutes) by 5 to get 1 minute

5÷5= 1

then divide the denominator (representing the meters below sea level) by 5 as well to get her position she is at after 1 minute

65.5÷5= 13.1

after dividing you should get 1/13.1 (after 1 minute, she is 13.1 meters underwater)

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer:

C) A geometric cumulative distribution function should be used because the question states that the probability for having a hand with three of a kind is about 6%.

Step-by-step explanation:

A geometric cumulative distribution function should be used because the question states that the probability for having a hand with three of a kind is about 6%.

A geometric cumulative distribution function should be used because the question asks for the probability of having a hand with five cards in the same suit in one of the first three hands

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The geometric cumulative distribution is a discrete likelihood conveyance where the random variable describes the quantity of the expected Bernoulli trial.

A Bernoulli trial is an experiment that can have just two results.

Success and failure.

Now,

We are interested in the first success in the three chances, which is a distribution function of a geometric distribution.

Now,

The probability of having a hand with five cards in the same suit in one of the first three hands.

This is a geometric distribution.

Thus,

A geometric cumulative distribution function should be used.

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Answer:

slope =1

Step-by-step explanation:

(1, 1)=(x1,y1)

(9, 7)=(X2, y2)

now,

slope=(y2-y1)/(x2-x1)

=(7-1)/(9-1)

=8/8

=1

Hey there!

Use the slope formula:

\(\bold{\displaystyle\frac{y2-y1}{x2-x1}}\)

\(\bold{\displaystyle\frac{7-1}{9-1}}\)

Simplify

\(\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}\)

Hope everything is clear.

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:-)

Dividing the profit ratio after two years into equal portions for A and B is 9:2.

Ratios frequently appear in daily life and, by putting numbers into perspective, help to systematize many of our interactions. By making quantities easier to comprehend, ratios enable us to measure as well as express quantities.

One of the most typical ways to write a ratio with a colon as a the whole comparison, like in the example above with the children and adults. Ratios can also be expressed as a fraction because they are straightforward division problems.

Given data:

Investments by A = 90,000

Investments by B = 20,000

ratio of profit after 2 years:

profit of A /  profit of B = Investments by A / Investments by B

profit of A /  profit of B =  90,000 / 20,000

profit of A /  profit of B = 9/2

Thus, dividing the profit after two years into equal portions for A and B is 9:2.

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Complete question:

A and B started a business investing Rs. 90,000 and Rs 20,000

respectively. In what ratio the profit earned after 2 years be divided

between A and B respectively?

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Answer:

The first month new members have to pay 188 dollars for the membership.

The equation is 160x+28=y

x stands for the number of months and y stands for the total cost.

For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.

Step-by-step explanation: