Y = a(b^x)
y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.
y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant
(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
<h3>
Lateral surface area of the prism</h3>
L.S.A = Ph
where;
- P is perimeter of the base
- h is height of the prism
h² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
<h3>Total s
urface area of the prism</h3>
T.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
<h3>
Lateral surface area of the cone</h3>
L.S.A = πrt
where;
- t is the slant height = 17
r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
<h3>
Total surface area of the cone</h3>
T.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
<h3>
Lateral surface area of the cylinder</h3>
L.S.A = 2πrh
where;
- r is the radius of the cylinder = 11
- h is height of the cylinder = 11
L.S.A = 2π(11 x 11) = 242π sq units
<h3>Total
surface area of the cylinder</h3>
T.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
- the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
- the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Learn more about surface area here: brainly.com/question/76387
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Answer:
1
Step-by-step explanation:
We are given the expression ![[(\frac{3}{5})^0]^{-2}](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B3%7D%7B5%7D%29%5E0%5D%5E%7B-2%7D)
and are asked to find the value of it.
To solve this, we can use the exponent rule of multiplying the exponent inside of the parenthesis with the one outside of the parenthesis.
Anything with an exponent of zero equals 1. Therefore :
Answer:
1920 ft³
Step-by-step explanation:
0 = Surface level
Beneath means subtraction.
0 - 96 = -96
Climbs means addition.
-96 + 49 = -47
The scuba diver is -47 feet beneath the surface of the lake.
