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3 years ago

5

Emma will roll two number cubes, labeled 1 through 6. She will record the sum of the two numbers after each roll. She will roll

the 2 cubes 540 times. How many times should Emma expect the sum to equal 5?

1 answer:

coldgirl [10]3 years ago

5 0

Answer:

Emma should expect the sum to be equal to five "60 times"

Step-by-step explanation:

Please kindly check the attached file for explanation

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What is the perimeter of CDE?

LuckyWell [14K]

<h3>Answer: 32.5 units (choice C)</h3>

This value is approximate.

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Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

$C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\$

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

$C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\$

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

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3 years ago

Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3. Polygon Y’s area isn’t what fraction of Polygon X’s area?

loris [4]

Answer:

1/9th.

Step-by-step explanation:

Because the area is measured in units squared, then you have to square 1/3 which is 19th.

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3 years ago

3. Write 13 tens as hundreds<br>and tens.<br>I hundreds 3 tens

beks73 [17]

Answer:

1 ten and 3 ones

Step-by-step explanation:

ten + three is 13. Hence, one ten and three ones.

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3 years ago

12n +9 = 6 - 311<br> How many solutions does the equation have?

svp [43]

Answer:

One Solution

Step-by-step explanation:

We can figure out the steps for this equation by separating the variables in the left side and the whole numbers on the right side, what you can essentially do is separate them and the equation will look like

12n = -9 + 6 -311

then,

12n = -314

which gives you, approximately

x = -26.16667.

Hope this helped!

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The difference of two number is 3. Their sum is 13.<br> Find the numbers.

Sloan [31]

Answer:

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Step-by-step explanation:

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