Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
We can set up this equation using this formula:
a = p(1 + r/n)^nt
p = starting amount.
r = interest.
n = number of times it's compounded in a year
t = years
We'd set it up like this:
a = 50(1 + ?/1)^1(12)
Because we're missing the amount of interest, it would be impossible to tell what the amount would be after 12 years.
Answer:
164 m^2
Step-by-step explanation:
You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.
The large colored rectangle is 12 m by 15 m.
The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m
A = 12 m * 15 m - 2 m * 8 m
A = 180 m^2 - 16 m^2
A = 164 m^2
Answer:
Yes
Step-by-step explanation:
One is in the hundreds and one is in the thousands. 100x10=1000
