1.) There are 6 numbers you can roll on a standard dice: 1, 2, 3, 4, 5, 6
There are 3 odd and 3 even. Keep in mind that an odd plus an odd will always be even and an even plus an even will always equal an even. Only if you add an odd and an even will you get an odd.
The chances of getting an even sum are much higher which is why you should choose even.
3.) The formula for finding the area of an equilateral triangle is (<span>√3)/4(a^2) where a is just a side length.
Because the perimeter is 12 and each side of an equilateral triangle is equal, we can divide 12 by 3 sides and get each side is 4. Plug in 4 for a.
</span>(√3)/4(4^2) = (√3)/4(16)
Because (√3)/4 = (1 x √3)/4,
(√3)/4(16) is equal to (16 x √3)/4
You have to divide (16 x √3) by 4. 16/4 = 4, and you only need to divide once to. We get 4√3 as the final answer.
Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>
make a box-and-whisker plot for the data. numbers of colors in a country's flag :3,2,2,4,4,3,6,3,5,3,4,1
Irina-Kira [14]
Answer: see attachment
<u>Step-by-step explanation:</u>
Put the numbers in order from smallest to biggest:
1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6
↓ ∨ ↓
Q1 Median Q3
Q1 median = (2+3)/2 = 2.5 <---- left side of box plot
Median = (3+3)/2 = 3 <---- Vertical Line of box plot
Q3 median = (4+4)/2 = 4 <---- right side of box plot
Answer:
Step-by-step explanation:Worked out on paper shown below
Also I recommended a online app called (it has wierd name but it’s helpful for algebra) mathpapa
Also I do math in pen so the last answer is messed up it’s 4c^2d and then the rest of the parentheses.Sorry for that.