Answer:
yes
Step-by-step explanation:
LMN should be a right triangle
use pythagorean theorem
18^2+80^2=82^2
it is a right triangle
The height of the lighthouse is 44 feet.
<u>Step-by-step explanation:</u>
You are given more information than you need.
Use the right triangle concept,
A yacht is anchored 90 feet offshore
from the base of a lighthouse.
- Base = 90 feet
- Height = h feet
The angle of elevation from the boat to the top of the lighthouse is 26 degrees.
<u>Using one side length and the angle only: </u>
The trigonometric formula is given as,
tan = height / base
tan[26º] = h ⁄ 90
h = 90 × tan[26º]
h = 43.9 ft
h = 44 feet
Therefore, the height of the lighthouse is 44 feet.
9514 1404 393
Answer:
- your graph is correct
- y = 3x -5
Step-by-step explanation:
The graph shows you the line has a "rise" of 1-(-2) = 3 for a "run" of 2-1 = 1, so the slope is 3/1 = 3.
The y-intercept is seen to be -5, so the equation is ...
y = mx +b . . . . . where m is the slope (3) and b is the y-intercept (-5)
y = 3x -5
__
The points and line are plotted correctly, so you already have your graph.
Answer:
50
Step-by-step explanation:
40 squared is 1600
30 squared is 900
1600+900=2500
=50
Answer:
D
Step-by-step explanation:
(3x³ - 10x² + 13x) - (5x³ + 4x² - 9x)
3x³ - 10x² + 13x - 5x³ - 4x² + 9x Change all terms after the subtraction sign to
the opposite sign (definition of Subtraction)
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x) Group like terms together
-2x³ - 14x² + 22x
