Because the number is even, then the number of possible combinations will be: 110/2 = 55 let's consider a simpler example, the number: 10, then we have: 10+0, 9+1, 8+2, 7+3, 6+4, which is equal to 10/2 =5 combinations. Note: We are not considering permutations between the elements of the sum therefore 10+0, 0+10 counts as one combination.
Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
Second one! Hope this helps :)
We're literally just comparing 200 to 800 here.
800 is 4× bigger than 200, of course.
To put that in a percent...
Well, 1 = 100%. (it's a whole)
So 4 = 400%
9514 1404 393
Answer:
D. y = -1/3x
Step-by-step explanation:
The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...
k = y/x . . . . . divide the above equation by x
For the given point (x, y) = (-3, 1), the value of k can be seen to be ...
k = 1/-3 = -1/3
Then the equation for the line is ...
y = -1/3x . . . . matches D
