Each side is increasing their length by 1 every time, and the length is always 1 greater than the height. That means the 5th rectangle will have a height of 5 and a length of 6, which would give it a perimiter of 22.
Answer:
the real part is 80
the imaginary part is -60
Step-by-step explanation:
Its given that

We need to find t when d = 74
Therefore,
or


t(16t + 37) - 2(16t + 37) = 0
(t - 2)(16t + 37) = 0
t - 2 = 0 or 16t + 37 = 0
t couldn't be negative.
Therefore, t = 2
Hence, it will take 2 seconds for the object to travel 74 feet.
The width of rectangular garden(b) = 8 feet and
The area of rectangular garden = 160 square feet
Step-by-step explanation:
Given,
The length of rectangular garden(l) = 20 feet and
The perimeter of rectangular garden(fencing) = 56 feet
To find, the width of rectangular garden(b) = ? and
The area of rectangular garden = ?
We know that,
The area of rectangular garden = 2(l + b)
⇒ 2(20 + b) = 56
⇒ 20 + b = 28
⇒ b = 28 - 20 = 8 feet
The width of rectangular garden(b) = 8 feet
∴ The area of rectangular garden = l × b
= 20 feet × 8 feet
= 160 square feet
Hence, the width of rectangular garden(b) = 8 feet and
the area of rectangular garden = 160 square feet
Answer:
Part 5) The length of the ski lift is 
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have


----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees

substitute

Applying the law of sines

substitute



Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees

-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees

-----> equation B
Equate equation A and equation B and solve for x

<u><em>Find the value of BC</em></u>


therefore
The height of the tree is 18.12 m