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3 years ago

A student performed the composition rx Ro 90 on figure A. Evaluate the students completion of the composition.

Mathematics

2 answers:

kotegsom [21]3 years ago

7 0

First: The student rotated the figure 90° clockwise.
Second: The student reflected across the x-axis.

Answer: Option C. <span>The student rotated the figure 90° clockwise rather than 90° counterclockwise.</span>

o-na [289]3 years ago

4 0

Answer:

The correct answer is C

Step-by-step explanation:

The first composition performed by student is rotation of 90° clockwise on A to get A'' then A' can't be obtained either by reflecting A'' across x-axis or y-axis.

But on rotating A by 90° counterclockwise to get A'' and reflecting this A'' across x-axis we get the required composition.

So, student need to rotate the figure 90° anticlockwise instead of 90° clockwise

So, The right answer is C.

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Assume that the pond contains 90 fish: 64 purple, 25 green, and 1 red. A contestant pays $0.55 to randomly catch one fish and re

Licemer1 [7]

Answer:

The carnival is losing (on average) $0.15 on each play

Step-by-step explanation:

To find out how much the carnival wins or looses in each play one subtract the expected value (EV) from each play from the amount charged by the carnival for each play ($0.55). If the expected value is higher than what the carnival charges, the carnival is losing money.

Expected is the sum of the payouts of each bet multiplied by its likelihood:

$EV= \frac{64*0.40+25*1.15+1*9.00}{90}\\EV= 0.70$

Since the expected value is higher than $0.55, the carnival is losing money, on average, on each play:

$0.55-0.7 = -0.15$

The carnival is losing (on average) $0.15 on each play

6 0

3 years ago

What is a unit fraction

artcher [175]

Answer:

Step-by-step explanation: A unit fraction is one part of a whole that is divided into equal parts. A unit fraction has 1 as the top number, which is the numerator. ... With unit fractions, when the bottom number - called the denominator - is bigger, the value of the unit fraction is smaller.

3 0

3 years ago

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Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length

Aloiza [94]

Answer:

$Total = \$7800$

Step-by-step explanation:

Given

$Cost = \$32.50$ per square yard

$Length = 432.0ft$

$Width = 5.0ft$

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

$Area = Length * Width$

$Area = 432.0ft * 5.0ft$

$Area = 2160ft^2$

Convert to square yard

$Area = \frac{2160yd^2}{9}$

$Area = 240yd^2$

The cost is then calculated as:

$Total= Area * Unit\ Cost$

$Total = 240 * \$32.50$

$Total = \$7800$

6 0

3 years ago

Three candidates were running for president of a student council. Altogether, 1524 students cast a vote in the election. The sec

Leya [2.2K]

Answer:

48%

Step-by-step explanation:

The total number of votes casted = 1524 votes = 100%

Let a = votes of first place candidate

b = votes of second place candidate

c = votes of third place candidate

The second place candidate had 140 votes less than the winner

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

a + b + c = 1524 votes....... Equation 5

If a = b + 140 and c = b - 395

The number of votes by b(second place candidate ) =

b + 140 + b + b - 395 = 1524 votes

3b = 1524 + 395 - 140

3b = 1779

b = 1779/3

b = 593 votes.

Therefore, the second place candidate had 593 votes.

Now we can calculate how many votes, the other candidates had.

The second place candidate had 140 votes less than the winner

Votes for the winner( first place candidate)

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Since b = 593

a = 593 + 140

a = 733 votes

Votes for the last place candidate

Since, Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

b = 593

c = 593 - 395

c = 198

From the above calculation,

a = votes of first place (winner) candidate = 733

b = votes of second place candidate = 593

c = votes of third(last) place candidate = 198

In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.

This is calculated as

= Voted received by winner/ Total number of votes casted × 100

= 733/1524 × 100

= 48.09711286%

Approximately to the nearest percent = 48%

Therefore, the percentage of all the votes cast were received by the winner = 48%

5 0

3 years ago

Original Price:<br> Discount: 25%<br> Final Price: $73.90

stepan [7]

The original price would be $92.38
.25(73.90)=18.475
18.475+73.90 would be 92.38

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3 years ago

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