Answer:
x = 88.2
Step-by-step explanation:
The angle at the top of the triangle = 90° - 10° = 80°
and the left side of the triangle is x ( opposite sides of a rectangle )
Using the tangent ratio in the right triangle
tan80° = 
= 
Multiply both sides by x
x × tan80° = 500 ( divide both sides by tan80° )
x = 
≈ 88.2
Answer:
2 - 8i
Step-by-step explanation:
The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.
<u>An example:</u>
The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.
<u>To solve</u>
So all you need to do is find the opposite of -2 + 8i. You can write it as:
-(-2 + 8i) With the negative in the front because we want to find the opposite.
This then equals:
2 - 8i
You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:
(-2 + 8i) + (2 - 8i) → and it does equal 0
<u>ANSWER:</u> 2 - 8i
Hope you understand and that this helps with your question! :)
Start by y-k=m(x-h)
m= 3
k=2
h=1
so y-2=3(x-1)
distribute
y=3x-3+2
final answer: y=3x-1
Answer:
math is torture
Step-by-step explanation:
Answer:
20 feet wide, 24 feet long
Step-by-step explanation:
Let x - width, y - length.
The perimeter is given by the formula:
P = 2*(width + length) or using x, y
P = 2*(x + y) = 88
x + y = 44
And we know that the ratio between the sides is 5/6:
x/y = 5/6. x is on top because the length is bigger than the width
x = 5y/6
Plug this in the first expression:
y + 5y/6 = 44. Muliply by 6
6y + 5y = 264
11y = 264
y = 264/11 = 24.
So x = 5(24)/6 = 20
