Answer:
1544.1 ft to the nearest tenth.
Step-by-step explanation:
We have a triangle where we have to find the hypotenuse and the opposite side to the given angle = 1200 feet.
So we use the sine function ( sin = opp / hyp).
sin 51 = 1200 / h
h = 1200 / sin 51
h = 1544.111 ft.
1+4p
the answer cant be simplified any further than this.
Answer:
B
Step-by-step explanation:
If the dot it open, it does not include the number. If the dot is shaded, it does include the number. Whichever way the orange line is pointing, corresponds to < or >.
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Answer: I believe it should be -5,-3