Answer:
Length = 13
Width = 7
Step-by-step explanation:
Given:
length = 2(width) - 1
Area of a Rectangle = lω = 91 cm²
Calculation:
Area of a Rectangle = lω = 91 cm²
(2ω-1)ω = 91
= 2ω²- ω - 91 = 0
=(2ω+13)(ω-7)=0
ω = -6.5 ω=7
length = 2(width) - 1
l=2(7) - 1
l = 13
Factor the expression
Use the properties of radicals
Simplify the roots
Calculate
And your solution will be 20 overall 5
Message me if you want me to write it all down!
13. x= 27/4 or 6 and 3/4
14. x= 27
15. x= 191/7 or 27 and 2/7
16. x= 83/15 or 5 8/15
the key to solving these is cross-multiplying and finding a common denominator, you can use photomath if you want to see the solving steps, hope this helps!
Answer: 
Step-by-step explanation:
You need to draw a right triangle as the one attached, where
is the angle of elevation from the fire to the top of the fire tower.
You need to use the Inverse trigonometric function Arctangent:

Observe the triangle. You can identify that:

Then, you can substitute values:

Finally, evaluating, you get that the angle of elevation from the fire to the top of the fire tower is the following:

Rounded to the the nearest tenth of a degree:
