Answer:
h = 7.63 ft
Step-by-step explanation:
When a ladder leans against a wall, it forms a right angled triangle. The length of the ladder becomes the hypotenuse of the triangle, while the distance of the bottom of ladder from the wall and the height of top of the ladder from the ground becomes the perpendicular and base, depending upon the selected angle. Using Pythagora's Theorem in this right angled triangle:
Hypotenuse² = Perpendicular² + Base²
where,
Hypotenuse = Length of Ladder = 16 ft
Base = Distance between bottom of ladder and wall = x
Perpendicular = Height of top of of the ladder from ground = x + 6 ft
Therefore,
(16)² = x² + (x + 6)²
256 = x² + x² + 12x + 36
128 = x² + 6x + 18
x² + 6x - 110 = 0
solving the quadratic equation and using positive value:
x = 1.63 ft
So, the height of top of ladder is:
h = 1.63 ft + 6 ft
<u>h = 7.63 ft</u>
Answer:
Base: 5
Exponent: 4
Step-by-step explanation:
Base is the large number in the formula and Exponent is the little number above the large number lol
Hope this helps!
Answer:
We can express the equation for any linear equation with slope -2 and point (x0,y0) as:
Step-by-step explanation:
Incomplete question:
There is no point to complete the equation.
As we have no point to complete the linear equation, we will solve for any given point (x0,y0) and a slope of m=-2.
The linear equation can be written generically as:
If a point, like (x0,y0) belongs to the linear equation, it satisfies its equation. Then:
Then, we can calculate b as:
We can express the equation for any linear equation with slope -2 and point (x0,y0) as:
Answer:
Perimeter = 21.58 units
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Perimeter of the quadrilateral LEAP = PL + AE + EL + LP
= 4.47 + 4.47 + 6.32 + 6.32
= 21.58 units
[If the distances between two point are not given, use the formula to calculate the distance between two points 
and 
Distance = 
]
Answer:
so the answer is 95°
Step-by-step explanation:
The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.
