Answer:
The original number is 5.
Step-by-step explanation:
If one number is x then the other is 3x.
Adding 5 to both numbers we get x + 5 and 3x + 5 and we are also given that (3x + 5) = 2(x + 5)
3x + 5 = 2x + 10
3x - 2x = 10 - 5
x = 5.
We want the coin to land on heads on 5 out of 5 flips.
Each time, the coin has a 1/2 chance of landing on heads.
Since we want it to land on heads 5 times in a row, we multiply 1/2 five times to get the probability.
(1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1 / (2*2*2*2*2)
= 1 / 32
There is a 1/32 chance of landing heads five times in a row.
Have an awesome day! :)
Remark
The upper answer is correct. Any time you are dealing with addition or subtraction and one of the numbers is irreducible and remains irrational no matter what you do, then the entire addition or subtraction of terms remains irrational.
For the second one that you did not answer, it works the same way as the comment says.
3√2 * 8√18 give two numbers that can be multiplied under the square root sign.
3*8 = 24
√(2*18) = √(36) = 6
The answer is 24*6 = 144
This procedure is the only way I know that you can get a rational result from two irrational factors. In fact it is really quite useful to know. You will use this when you learn how to rationalize the denominator. This exact method is used to do that.
Answer:
4.1 cm
Step-by-step explanation:
The segment marked x bisects the chord, so the triangle shown has legs x and 7.8, and hypotenuse 8.8.
The Pythagorean theorem can be used to find x:
8.8² = x² +7.8²
x² = 8.8² -7.8² = 77.44 -60.84 = 16.60
x = √16.6
x ≈ 4.1 . . . cm
That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.
