Hello! Your answer is below... Remember : h = height and v = volume
Answer:
H = 15.35 cm
V = 690.75 m^
Step-by-step explanation:
(H= height, V = volume, ^= square, √ = square root )
1. divide 9/2
=4.5 cm
2. use the pythagorean theorem
H=√16^-4.5^
H=15.35
if your looking for volume
1. use the formula for volume of the pyramid which is:
1/3 x base area x height
or
base area x height /3
2. then you substitute
1/3 x (9)(15) x 15.35
or
(9)(15) x 15.35 /3
V= 690.75 m^
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>
The given parameter is
Perimeter, P = 520 feet
Represent the shorter side with x and the longer side with y
One side of the garden is bordered by a river:
So the perimeter is:
P = 2x + y
Substitute P = 520
2x + y = 520
Make y the subject
y = 520 - 2x
The area is
A = xy
Substitute y = 520 - 2x in A = xy
A = x(520 - 2x)
Expand
A = 520x - 2x^2
Differentiate
A' = 520 - 4x
Set to 0
520 - 4x = 0
Rewrite as:
4x= 520
Divide by 4
x= 130
Substitute x= 130 in y = 520 - 2x
y = 520 - 2 *130
Evaluate
y = 260
The area is then calculated as:
A = xy
This gives
A = 130 * 260
Evaluate
A = 33800
Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
Read more about area at:
brainly.com/question/24487155
#SPJ1
Answer:
Step-by-step explanation:
The recursive rule tells you the initial term of the sequence is a1 = -3, and the common difference is d=7. (7 is the value added to one term to get the next term.)
Putting these values into the formula for the explicit rule gives ...
an = a1 +d(n -1)
an = -3 + 7(n -1)
You need to finish the question
