Answer:
4,800,089
Step-by-step explanation:
You must multiply 80000 by 60 first, which an easy way to solve is multiply 8 by 6 and then add the amount of zeroes in both of those numbers so 48, and then 5 zeroes. So 4,800,000. Then you want to add 89.
Answer:
see explanation
Step-by-step explanation:
Using sum to product identities
cos x - cos y = - 2sin(
)sin(
) = 2sin( )sin(
)
cos x + cos y = 2cos( )cos( )
Note that
sin10° = sin(90 - 10)° = cos80°
Thus
← cancel 2 from numerator/ denominator
= 
× 
= tan45° × tan35° { tan45° = 1 ]
= 1 × tan35°
= tan35° ← as required
Answer: 20.71 m
Step-by-step explanation:
Given
the length of the poles are 25m and 35 m
The length of the cable is 23 m
Suppose the distance between them is x
From the figure, apply Pythagoras theorem
Distance between Poles is 20.71 m
Answer:
B. x < -8 or x > 8
Step-by-step explanation:
You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.
Process:
You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.
This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.
Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!
Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)
The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.
We've proven that this solution is accurate for both parts, so it is definitely the one we want!
Hope this helps!
