You would use the Pythagorean Theorem a²+b²=c² and re-arrange to get a²=c²-b² then you would put the numbers in and get a²=130²-50² so a²=14400 and if you square root that you get 120. So the height of the mast is 120 feet.
You must first attach the problems with your question.
Answer:
$44.55
Step-by-step explanation:
10% of 45 is 4.5
45 * 0.1 = 4.5
So subtract 4.5 from 45
45 - 4.5 = 40.5
Now get 10% of 40.5
40.5 * 0.1 = 4.05
Add 4.05 to 40.5
4.05 + 40.5 = 44.55
Answer:
(3, -1)
x is 3
y is -1
Step-by-step explanation:
Solving for x:
2x+y=5
<em>Subtract y from both sides</em>
2x= -y+5
<em>Subtract 5 from both sides</em>
2x-5= -y
<em>Multiply both sides by 4</em>
8x-20= -4y
5x+4y=11
<em>Subtract 4y from both sides</em>
5x= -4y+11
<em>Subtract 11 from both sides</em>
5x-11= -4y
<u>Combine equations:</u>
5x-11=8x-20
<em>Subtract 5x from both sides</em>
-11=3x-20
<em>Add 20 to both sides</em>
9=3x
3x=9
<em>Divide both sides by 3</em>
x=3
Solving for y:
2x+y=5
<em>Subtract y from both sides</em>
2x= -y+5
-y+5=2x
<em>Multiply both sides by 5</em>
-5y+25=10x
5x+4y=11
<em>Subtract 4y from both sides</em>
5x= -4y+11
-4y+11=5x
<em>Multiply both sides by 2</em>
-8y+22=10x
<u>Combine equations:</u>
-8y+22= -5y+25
<em>Add 8y to both sides</em>
22=3y+25
<em>Divide both sides by 25</em>
-3=3y
3y= -3
<em>Divide both sides by 3</em>
y= -1
Answer:61,493
Step-by-step explanation:
I just used a calculator
