Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
<h3>The measure of angles of triangle are 96 degree, 36 degree and 48 degrees</h3>
<em><u>Solution:</u></em>
The ratio of the measures of the angles in a triangle is 8:3:4
Let the first angle be 8x
Let the second angle be 3x
Let the third angle be 4x
We know that,
sum of all angles in triangle is 180 degrees
Therefore,
8x + 3x + 4x = 180
15x = 180
x = 12
Thus,
First angle = 8x = 8(12) = 96
second angle = 3x = 3(12) = 36
third angle = 4x = 4(12) = 48
Thus measure of angles of triangle are 96 degree, 36 degree and 48 degrees
Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
So you gave yourself the own answer lol
At x = 8, y = 4
At x = 14, y = 7
At y = 3, x = 6
Solution:
Given rule:
At x = 8,
Hence at x = 8, y = 4.
At x = 14.
Hence at x = 14, y = 7.
At y = 3
Multiply by 2 on both sides.
Hence at y = 3, x = 6.
The image of the table is attached below.
