Answer:
≈ 47.2 m
Step-by-step explanation:
let the height from the sea to the base of lighthouse be h₁
let the height from the sea to the top of the lighthouse be h₂
using the tangent ratio in the right triangle
tan55.1° = 
= 
( multiply both sides by 610 )
h₁ = 610 tan55.1°
tan56.5° = 
( multiply both sides by 610 )
h₂ = 610 tan56.5°
then
height of lighthouse = h₂ - h₁
= 610 tan56.5° - 610 tan55.1°
= 610(tan56.5° - tan55.1° )
≈ 47.2 m ( to the nearest tenth )
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
Answer:
<h2>124.1m</h2>
Step-by-step explanation:
29.4 per sec > Building 80m
Height = S = 4.9t^2 + 29.4t + 80
Solve for t:
t = 1.24 (approximately)
If t needed coordinates / solve using the quadratic formula:
t = (1.24 , -7.24)
<h3>The ball's maximum height is 124.1 meters.</h3>
I҈ l҈o҈v҈e҈ b҈i҈r҈d҈s҈ s҈o҈ m҈u҈c҈h҈
Answer:
The point slope equation is: y - y1 = m (x - x1)
m = slope
Step-by-step explanation:
To use this equation, you need to know:
-<u> </u><u>one point on the line</u>
-<u> the slope of the line</u>
<u>First</u>:
(x1,y1) = a known point on the line
m = the slope
(x,y) = any other point on the line
<u>Now</u>:
we plug the numbers into the equation to get y - y1 = m (x - x1)
<u>Then</u>:
you solve the equation
