Answer:
d
Step-by-step explanation:
If chord BC passes through the centre then it is a diameter . then
∠ BAC is the angle in a semicircle and x = 90°
y = 180° - (90 + 25) ← angle sum in a triangle
y = 180° - 115° = 65°
Thus
x = 90°, y = 65° → d
Answer:
Is irrational
Step-by-step explanation:
Let
be a rational number, and
be an irrational number. If their sum were rational, say
, then we'd have

but
is the difference between two rational numbers, and thus a rational number. But it also equals
, which is irrational by hypothesis. Since we have a contradiction, we conclude that the sum of a rational and an irrational can't be rational.
Answer:
9670 feet
Step-by-step explanation:
The height given (8219.5 ft) is 85% OF ORIGINAL, hence original is much higher. But how do we figure this out?
we translate word problem to equation.
8219.5 IS 85% of TOTAL
Firstly, 85% = 85/100 = 0.85
Remember, is means =
of means multiplication
So we have:
8219.5 = 0.85 * Total
Hence, total = [let total be 7]
8219.5 = 0.85 * t
t = 8219.5/0.85 = 9670 feet
4/5 of 40 = 32
1/3 of 3 = 1
1/3 of 15 muffins = 10 muffins