Answer:
The wire is approximately 42feet long
Step-by-step explanation:
We can mentally sketch out the shape that is formed between the guy wire and the antenna tower. This is simply a right-angled triangle with the opposite side being the height of the antenna (30 feet). The adjacent side is the distance on the ground between the point where the wire was fastened and the base of the antenna.
The hypotenuse side is the length of the wire we are looking for.
Parameters are given as:
Opposite : 30ft
Adjacent: 30ft
Hypotenuse: x feet
The hypotenuse = 
Hypotenuse =
Answer:
In option a, w < 10
in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150
in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150
In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150
Therefore the corect answer is option b.
Step-by-step explanation:
Answer:
13.24
Step-by-step explanation:
If you put it into the calculator, you get the answer. Or you could do long division, but that's difficult for no reason. You could also divide each number individually by 2, as they are all even, so that works too.
Hope this helps!
Answer: True
Step-by-step explanation:
We can simplify each of the expressions on either side to see if they are equal.
Left side: -5+7=7-5= 2
Right side: 7+-5=7-5= 2
Yes, they are equal.
Answer:
Step-by-step explanation:
we are given a quadratic function
we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:
the given function is in the standard form i.e
so we acquire:
thus substitute:
simplify multiplication:
simply division:
plug in the value of minimum x to the given function:
simplify square:
simplify multiplication:
simplify:
hence,
the minimum value of the function is -155
