Answer:
Distance between boat and light house = 223.88 meter (Approx.)
Step-by-step explanation:
Given:
Height of light house = 60 meters
Angle of depression to boat = 15°
Find:
Distance between boat and light house
Computation:
Using trigonometry application:
Tanθ = Perpendicular / Base
Tan 15 = Height of light house / Distance between boat and light house
0.268 = 60 / Distance between boat and light house
Distance between boat and light house = 60 / 0.268
Distance between boat and light house = 223.88 meter (Approx.)
Answer:
parallel = same slope (-2x)
so it's y=-2x + b
let's find b by plugging in 1 for x and 3 for y (the coordinates)
3 = -2*1 + b
3 = -2 + b
5 = b
there you have it:
y = -2x +5
brainliest would really be appropriated (possible when someone else also leaves an answer)
Answer: 32 sides
Step-by-step explanation:
Formula for interior angle of a polygon = ( n - 2 )180°, where n is the number of sides of the polygon
Now equate the formula to 5400°
( n - 2 ) × 180° = 5400°
open bracket by multiply by 180°
180n° - 360° = 5400°
180n° = 5400° + 360°
180n° = 5760
n = ⁵⁷⁶⁰/₁₈₀
n = 32
so the polygon has 32 sides
Answer:
x = all real numbers
Step-by-step explanation:
first you need to solve the first equation to figure out what y is.
4x - y = 2
<em>add y to both sides of the equation</em>
4x = 2 + y
s<em>ubtract 2 from both sides of the equation</em>
4x - 2 = y
now that you know what y is, you can substitute it in the next equation.
3y = 12x - 6
3(4x - 2) = 12x - 6
<em>open the parenthesis </em>
12x - 6 = 12x - 6
<em>subtract 12x from both sides of the equation</em>
-6 = -6
regardless of what x is, -6 will always equal -6.
so, the answer is all real numbers.
