Answer:
I may be wrong, but I learned that the first slot would be "terms". 4:3 would be an example of a ratio so it couldn't be ratio and a difference is subtracting.
The second slot would not be a geometric sequence because it is not correctly placed on the number line.
Therefore, the answers would be "terms" and "is not"
Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:
![1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}](https://tex.z-dn.net/?f=1%5C%201%2F2%3D%5Cfrac%7B%281%29%282%29%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D)
2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then:
![(\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B2%7D%29%28%5Cfrac%7B2%7D%7B1%7D%29%3D%5Cfrac%7B6%7D%7B2%7D%3D3)
The area of the triangle extension is 12, because the total side length it is on is 18, and the segments to the sides of the triangle are 6 each, meaning 18-12=6, the height of the triangle. The base is given as 4, so 1/2(4x6)=24/2=12.
Add this to the area of the rectangle, 9x18=162, and 162+12=174.
The area is 174.
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
Since the toss can either be heads or tails and only one of these can land at a time the answer is 13