Answer:
x=215.63 ft
Step-by-step explanation:
sin(53)=x/270
x=270sin(53)
x=215.63 ft
Answer:
250 berries
Step-by-step explanation:
There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:
10 x 25 = 250
There are 250 berries.
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Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
Answer:
b slow
Step-by-step explanation:
Answer:
(x - 8)^2 + (y + 1)^2 = 68
Step-by-step explanation:
The standard form of the equation of the circle with center (8,−1) is :
(x - 8)^2 + (y + 1)^2 = R^2
If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.