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>
Answer:
Two
Step-by-step explanation:
The table is saying that, if Sandra swam enough races, she should expect to get 20 firsts, 12 seconds, 6 thirds, and two no placements.
Her expected value of points will be the average (mean) of all the points awarded for each race.
The average is the total number of points divided by the number of races.

The simulation says that, if she swam 40 races, she should expect to earn a total of 90 points.

She can't win a fraction of a point, so she can expect to win two points in her first race.
Answer:

Step-by-step explanation:

Then you need to simplify:

Answer:
Y=-3/2
Step-by-step explanation:
-2y+3=-4y
Move constant to the right by adding its opposite to both sides
-2y+3-3=-4y-3
Eliminate the opposites
-2y=-4y-3
collect the like terms
-2y+4y
collect the like terms
(-2+4)y
Calculate the sum
2y=-3
divide both sides of the equation by 2
2y÷2=-3÷2
Any expression divided by itself equal 1
y=-3÷2
y=-3/2
Answer:

Step-by-step explanation:
To find slope using two points you need to find the difference in x and y. You use 
So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x