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:
x = 98°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle and 53° and 45° are the opposite interior angles, hence
x = 53° + 45° = 98°
Answer:
John’s age is 8 years
Step-by-step explanation:
Let
x -----> John’s father's age
y -----> John’s age
z -----> John’s sister's age
we know that
-----> equation A
-----> equation B
-----> equation C
Substitute equation A and equation B in equation C and solve for y
Multiply by 2 both sides to remove the fraction
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
John’s father's age is 40 years
John’s age is 8 years
John’s sister's age is 4 years
Answer:
20 seconds
Step-by-step explanation:
I assume you mean 
for your function.
As the given function is in the form of 
(some textbooks may write this formula differently), the period is equal to 
. Hence, the period of the given function is 
, or 20 seconds.
The slant would be greater than the height because it is the hypotenuse and it is always greater than the legs.
Hope this helps
