A. The figure is a triangular pyramid. You can findits surface area by adding up the area of the three faces of the triangle and the area of the base. A derived formula also is used where the SA is equal to 12 times the perimeter of base times the slant height, added to that is the area of the base. The area of the square base is s^2. Its perimeter is 4s.
SA of Pyramid = 12*P*l + s^2
SA of Pyramid = 12*4s*l + 16^2
SA of Pyramid = 12*4(16)*(17) + (16)^2
SA of Pyramid = 11,008 square inches
b.) The formula for the SA of a cone is:
SA of cone = πr[r+√(h^2+r^2)]
SA of cone = π(3)[(3+√(8^2+3^2)]
SA of cone = 108.8 square inches
Answer:
translate: "Which of the following expressions is equivalent to (5 x 5 x 5 x 5)3?"
57???
Step-by-step explanation:
Number 1.
, first we will take the
of both of these numbers getting us,
, which then gives us that 
Number 2
, solve for our exponent,
, use the logarithmic formula, and we get,
, which then we get that 
Answer:
The exponential equation is;
F = 30,000(1.01)^30
The value is;
$40,435.50
Step-by-step explanation:
Here, we are to write an exponential equation
Exponential equations generally take the form;
F = I(1 + r)^t
where F is the future value
I is the initial value
r is the growth percentage
t is the time
with respect to the question;
F = ?
I = 3,000
t = 30
r = 10% = 10/100 = 0.1
Writing the equation, we have
F = 30,000(1.+ 0.1)^30
F = 30,000(1.01)^30
F = $40,435.50