Answer:
the first one
Step-by-step explanation:
22.46 MB + 13.312 MB + 11.7 MB = 47.472 MB
Answer:
.
Step-by-step explanation:
Given:
The science club plans to purchase "x" pizzas to feed the students at the science fair.
Each pizza contains ten slices.
Each student at the science fair gets one slice.
Question asked:
Write an algebraic expression for the total number of students that the science club can feed pizza.
Solution:
Total number of pizzas plan to be purchased by Science club = ![x](https://tex.z-dn.net/?f=x)
As each pizza contain = 10 slices.
pizzas contain = ![10\times x=10x\ slices](https://tex.z-dn.net/?f=10%5Ctimes%20x%3D10x%5C%20slices)
As each student gets 1 slice, and we have
slices:
Number of students fed from
pizza slices = ![10x](https://tex.z-dn.net/?f=10x)
Therefore, the total number of students that the science club can feed pizza is
.
Answer:
The triangles pictured are similar (SSS), that is the corresponding sides are in the same ratio. Hence the matching angles are the same. For any right-angled triangle similar to triangle ABC, the ratio of the matching sides will be the same.
Answer:
There are many examples for the first request, but none for the second.
Step-by-step explanation:
a) There is a theorem which states that the sum of two convergent sequences is convergent, so any pair of convergent sequences (xn), (yn) will work (xn=1/n, yn=2/n, xn+yn=3/n. All of these converge to zero)
If you meant (xn) and (yn) to be both divergent, we can still find an example. Take (xn)=(n²) and (yn)=(1/n - n²). Then (xn) diverges to +∞ (n² is not bounded above and it is increasing), (yn) diverges to -∞ (1/n -n² is not bounded below, and this sequence is decreasing), but (xn+yn)=(1/n) converges to zero.
b) This is impossible. Suppose that (xn) converges and (xn+ýn) converges. Then (-xn) converges (scalar multiples of a convvergent sequence are convergent). Now, since sums of convergent sequences are convergent, (xn+yn+(-xn))=(yn) is a convergent sequence. Therefore, (yn) is not divergent and the example does not exist.