Polygon JKLM is drawn with vertices J(−4, −3), K(−4, −6), L(−1, −6), M(−1, −3). Determine the image coordinates of K′ if the pre-image is reflected across y = −4..

A: K′(−4, −4)
B: K′(4, −6)
C: K′(−4, 6)
D: K′(−4, −2)

Answer:

correct answer is B) 180.

Step-by-step explanation:

When rolling a fair 6-sided die, there are three odd numbers (1, 3, and 5) and three even numbers (2, 4, and 6). The probability of rolling an odd number on a single roll is therefore 3/6 or 1/2.

If the die is rolled 360 times, we can expect that the event of landing on an odd number will occur roughly (1/2) * 360 = 180 times, on average. Therefore, the most reasonable prediction for the number of times the event of landing on an odd number will occur is 180.

The best tools that should be selected form the box above would be the protractor and the ruler.

A regular hexagon is a type of polygon that has six equal sides and angles.

The angle of a hexagon can be measured with the use of a protractor while it's length can be measured with the use of a meter rule.

Therefore, for the effective measurement of the hexagonal shape, the ruler and protractor should be used.

Learn more about length here:

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Answer:

C and D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The most common number of hours volunteered is 34, so the answer can't be A or D. 7 students volunteered more than 30 hours, while 12 students did less than 30 hours, which means B is incorrect. There are 3 students that volunteered more than 40 hours and 6 that volunteered between 9 and 20 hours, which means C is correct.

The sample space for this event is (Purple Purple, Purple Red, Purple Blue, Red Purple, Red Red, Red Blue, Blue Purple, Blue Red, Blue Blue)

From the question, we have the following parameters that can be used in our computation:

Bags of marble = 1 purple marble, 1 red marble, and 1 blue marble.

The sample space for this event is derived by selecting one of the cards and selecting another card with repetition

Using the above as a guide, we have the following:

The sample space is (Purple Purple, Purple Red, Purple Blue, Red Purple, Red Red, Red Blue, Blue Purple, Blue Red, Blue Blue)

This is represented by the table 2

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Answer:

I can't make an exact graph but the ratios are this:

Step-by-step explanation:

5:3, 15:9, 25:15

hope it helps you a little bit

Answer:

The sample space for rolling a standard number cube and flipping a quarter can be represented using a table, where the rows correspond to the possible outcomes of the coin flip and the columns correspond to the possible outcomes of the number cube roll:

      | H | T

---------------

1      | 1H| 1T

2      | 2H| 2T

3      | 3H| 3T

4      | 4H| 4T

5      | 5H| 5T

6      | 6H| 6T

In the table, "H" represents heads and "T" represents tails. Each cell in the table represents a possible outcome of the experiment, where the first element corresponds to the number cube roll and the second element corresponds to the coin flip.

The total number of outcomes in the sample space is equal to the product of the number of outcomes for each of the two experiments. Since there are 6 possible outcomes for rolling a standard number cube and 2 possible outcomes for flipping a quarter, the total number of outcomes in the sample space is 6 x 2 = 12.

Step-by-step explanation:

Answer: Seki's interest rate for the bike is 33.33% each year; Seki will owe $8250 at the end of the loan.

Step-by-step explanation:

To calculate the simple interest rate, the equation is: r = (1/t)(A/P - 1)

Where:

r - interest rate per year (in decimal format)

t -time (loan time in years)

A - total accrued amount (initial price paid + amount of interest paid)

P - principle (initial price paid)

For this scenario:

r = (1 / 30)(8250 / 7500 - 1)

   - simplify both sets of parentheses: 1 / 30 and 8250 / 7500

r = (.033333)(1.1 - 1)

   - simplify the second set of parentheses

r = (0.033333) x 0.1

   - multiply

r = 0.0033333

   - convert r (as a decimal) to R (as a percentage) by multiplying r x 100

R = .3333

The interest rate on Seki's loan is 33.33%

The total amount Seki will pay:

equation for total due: A = P + I

Where:

A - total accrued amount (initial price paid + amount of interest paid)

P - principle (initial price paid)

I - amount paid in interest that accrued over time

For this scenario:

A = 7500 + 750

A = 8250

Seki will pay $8250 when the loan is due.

Answer: Brice's initial amount is smaller than Yolanda's.

Step-by-step explanation: To find Yolanda's slope, we do 180-120, and then 4-2. This yields a slope of $30 per month, making Yolanda's slope equal to Brice's. Using that slope, we now know that Yolanda would need a much higher initial amount.

Answer:

Step-by-step explanation:

My final answer is I dont know.

3 units to the right.

The direction is to the right, and the number of units is 3.

For the first step, we need to compare the given position of point Q (6, 4) with its new position Q' (9, 4). In the x-axis, the x-coordinate of Q' is greater than the x-coordinate of Q,i.e., 9>6. This means that the triangle has been translated to the right. To get the number of units we subtract the new Q' value from the given Q value, 9-6=3. Hence the number of units is 3. In the y-axis, the y-coordinate of Q' is the same as the y-coordinate of Q,i.e., 4=4. This means that there has been no vertical translation.

Hence Option C is the correct answer.

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Answer:

52

Step-by-step explanation:

Since your finding what c is, you will use the Pythagorean Theorem formula. [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

A² + B² = C² --> Step 1: Set up the formula.

20² +  48² = C² --> Step 2: Plug in 20 for a and 48 for b.

400 + 2304 = C² --> Step 3: 20 x 20 = 400, 48 x 48 = 2, 304.

2704 = C² --> Step 4: Add both 400 and 2, 304 to get 2, 704.

√2704 = √c² Step 5: Square root both 2, 704 and [tex]C^{2}[/tex].

52 = c --> C = 52.

So your answer is 52. Hopefully this helps, let me know if it doesn't.

Answer:

Correct answer: Reflection across x = 4

Answer:7%

Step-by-step explanation:20.00 x 7%

Answer:20

Step-by-step explanation:

i'm sorry if it's not

Answer:

3/75 = g/350where g is the number of gallons of gas the car uses to travel 350 miles. To solve for g, we can cross-multiply:3 × 350 = 75 × g1050 = 75gDividing both sides by 75, we get g = 14Therefore, the equation that can be used to determine g is:3/75 = g/350, or simply g = 14.

What number of feet is equivalent to three miles?

Answer: 15840

Step-by-step explanation: 3 miles = 15840 foot

Answer:252 cubic feet

Step-by-step explanation:

To find the volume of a rectangular prism, you will use the formula:

V = l x w x h

V is the volume,  l is the length, w is the width, and h is the height.

So we would multiply all the given measurements and find the volume but one of the measurements is given in inches instead of feet, which is what the answer should be in, cubic feet.

To convert inches to feet, divided inches by 12. Because one foot makes 12 inches, and 12 inches makes one foot. Just like the subs at Subway, a half footlong is 6 inches and a footlong is 12 inches. Now 27/12 is 2.25, so 2.25 ft is the measurement in feet. Now we can multiply all the measurements to get the volume.

V = l x w x h

V = 16 ft x 7 ft x 2.25 ft

V = 252 ft^3

Always remember to cube the solutions to volume and square the solutions to area.

Hope this helped!

Answer: 90° clockwise rotation (I think you posted this question twice? It seems to have the same answer as the previous one I answered)

Step-by-step explanation:

The rules for rotation are below:

90° clockwise rotation = (x, y)→(y, -x)

270° clockwise rotation = (x, y)→(-y, x)

180° counterclockwise rotation = (x, y)→(-x, -y)

90° counterclockwise rotation = (x, y)→(-y, x)

Let's take point B. Point B's coordinates are (3, -2). Point B' is (-2,-3). -x would be -3, and y stays the same.

Therefore, the answer is 90° clockwise rotation.

For additional resources, check out "Rotation Rules 90, 180, 270 degrees" by Math in Minutes.

Good luck!

Answer: 37.8 deg

Step-by-step explanation:

just put it in your calculator

Answer:

37.8 deg

I had a hard time explaining it but that's the answer

Answer:

C.  9/8

First, 3/4 x 3 = 2.25

Next, 2.25 / 2 = 1.125

Lastly, 1.125 ----> 9/8

Hope this helps!

Hey,

You can see that the line next to both angles is straight, so it is equivalent to 180 degrees. This means both other angles are supplementary (they add to equal 180). Therefore, 78 + (5q+2) = 180.

Here are the steps to solve:

1) Subtract 78 from the 180 total.

180 - 78 = 102

2) Reassign the value of the variable term

5q+2 = 102

3) Subtract 2 from both sides.

5q = 100

4) Divide by 5

q = 20

And there you go!

Answer:

1.6 liters of lemonade

Step-by-step explanation:

There are 1000 milliliters in one liter so she made 8000 milliliters of lemonade

Next we have to figure out how many milliliters of lemonade she sold each day:

Saturday: 200 milliliters of lemonade in a glass * 8 glasses = 1600 milliliters of lemonade sold

Sunday:  200 milliliters of lemonade in a glass * 24 glasses = 4800 milliliters of lemonade sold

1600  + 4800 = 6400 total milliliters of lemonade sold

Since there are 1000 milliliters in one liter, we have to divide 6400 by 1000:

6400 ÷ 1000 = 6.4 liters

Lastly, we have to subtract 6.4 from 8:

8 - 6.4 = 1.6 liters of lemonade

Hope this helps!

Answer: [tex]e=\sqrt{\frac{S}{6} }[/tex]  IS THE ANSWER

Step-by-step explanation:

[tex]S=6e^{2}[/tex]

[tex]e^{2} = \frac{S}{6}[/tex]

[tex]e=\sqrt{\frac{S}{6} }[/tex]