Answer:
63.44 feet
Step-by-step explanation:
tan(68 degrees)= 85/y
y tan (68 degrees)=85
y=85/tan(68 degrees) ( cross multiply)
y = 34.34 feet
tan (41 degrees)=85/x+y
(x+y)tan(41 degrees)=85
x+y=85/tan 41 degrees
x=85/tan(41 degrees) - y
x= 85/tan (41 degrees)-(34.34) (cross multiply)
Therefore, Travis stepped back 63.44 feet to gain a better view!
Answer:
7.4
Step-by-step explanation:
The first digit of a number can be 1-9. The 2nd and the 3rd digit can be 1-10. The last digit can be 0 or 5 ( 2 numbers ):
9 * 10 * 10 * 2 = 1,800
She could pick 1,800 different 4-digit numbers.
Answer:
If the roots of an equation are x = -1 ± i, it means that the factorized form of that equation is: (x + 1 + i)(x+ 1 - i) = 0.
Using the distributive property, we have:
(x + 1 + i)(x+ 1 - i) = x^2 + x - ix + x + 1 - i + ix + i + 1
Combining like-terms and simplifying:
⇒ x^2 + x + x + 1 + 1 = x^2 + 2x + 2 = 0
Therefore, the stament is correct. If the roots of an equation are x = -1 ± i, then the equation is: x^2 + 2x + 2 = 0.
Answer:
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