Do you want 5 and 6 or just 5? 5 is kind of neat.
44.5% = 0.445
4/9 = 0.4444444
You have enough information to put the numbers in order.
0.44 is the smallest number.
0.44444444.... is the next smallest number
0.4445 is bigger than the number above. 5 is in the ten thousandths place. that is bigger than 4 in the thousands place of 4/9
Finally the largest number of all is 0.445 for the same reason given above.
Six
5/12 = 0.416666
0.4
42% = 42/100 = 0.42
0.416
0.4 is the smallest number
0.416 is the next smallest number
0.41666666 is bigger than 0.416 because you are adding a bunch of 6s onto the decimal place.
The largest one is 0.42. You can put these into your calculator to verify the results. For example, 0.42 - 0.4166666 = 0.003344. Any result more than 0 will show that the first number is bigger than the second.
Answer:
If we have a cone-shape candle with r=2 cm and h=3 cm, then the amount of paper needed is 18.84 cm^2 and the amount of plastic needed is 12.56 cm^2.
Step-by-step explanation:
<em>The question is incomplete: no numerical values for the dimensions of the cone are given.</em>
<em />
A right cone is defined by the radius r of the base and the height h.
The base area is the area of a circle with radius r:
The lateral area is calculated as:
As the values for r and h are not given, we will use an example with r=2 and h=3.
Then, the amount of paper needed is:
The amount of plastic needed is:
Answer:
f(x) = 3.7x + 3
Step-by-step explanation:
Using the fact that y = f(x), then rearrange the equation making y the subject.
- 3.7x = 3 - y ( add y to both sides )
y - 3.7x = 3 ( add 3.7x to both sides )
y = 3.7x + 3 , that is
f(x) = 3.7x + 3
<span>Stephen and Aaron solved the same equation using two separate methods. Their work is shown in the table below:
Stephen Aaron:
3x - 2 = 5x - 6 3x - 2 = 5x - 6
3x - 2 + 2 = 5x - 6 + 2 3x - 3x - 2 = 5x - 3x - 6
3x = 5x - 4 -2 = 2x - 6
3x - 5x = 5x - 5x - 4 -2 - 6 = 2x
-2x = -4 -8 = 2x
x = 2 -4 = x
Identify who made the error and what he did wrong.
Aaron made the error when he subtracted 6.
Aaron made the error when he subtracted 3x.
Stephen made the error when he added 2.
Stephen made the error when he subtracted 5x.
answer:
</span>In the Aaron`s work:
- 2 = - 2 x - 6
and after that:
- 2 - 6 = 2 x
It should be:
- 2 + 6 = 2 x
or: - 2 + 6 = 2 x - 6 + 6
Answer:
A ) Aaron made the error when he subtracted 6.
To find CD use the trig ratio that relates that side you're looking for to the angle you have and the other side you're given. We have that the reference angle is 30, and we also have the hypotenuse of that right triangle on the left. Solving for AC, which is the side opposite, we will use the sin ratio:
. 10 sin(30) = AC. Therefore, AC = 5. Now that have that side measure, we can use that along with the reference angle in the right triangle on the right of 25 to find CD, which happens to be the side adjacent to the reference angle. That satisfies our tangent ratio requirements. Our ratio looks like this then:
. Solving for CD,
and CD = 10.7, the third choice above.