Answer:
x=±sqrt (33)
Step-by-step explanation:
y=(x+2)(x-2)
29=x^2-4. x^2=33, x=±sqrt (33)
Answer:
Step-by-step explanation:
(a) radius is the bottom leg of the right triangle formed by the slopped edge and the vertical line from the tip to the center of the base. So that's easy enough with the pythagorean theorem.
15^2 + b^2 = 34^2
b = sqrt(1156 - 225)
b = 30.512
(b) The surface area can be looked at as the surface area of the circular base + the surface area of the actual cone.
area of a circle is pi*r^2 and the surface area of the cone, excluding the base, is pi*r*s, where s is the slant height. If you want to know where that one comes from it kinda takes some calculus to understand but I can link a video to explain it.
pi*r^2 + pi*r*s
pi(r^2+rs) I factored out pi to make things a little easier.
pi(931+30.512*34)
1968.408pi Feel free to multiply out pi.
(c) Volume for a cone (or any kind of pyramid) is area of the base times the height all divided by 3.
so since we know the area of the base we can just plug in.
(pi*r^2*h)/3
(pi*931*15)/3
4655pi
Answer:
sail a = 81ft²
sail b base = 12ft
Step-by-step explanation:
question 5:
the measurements for sail A are 18ft(height) and 9ft (base)
the formula to find the the area of a triangle is (b · h) 1/2
(9 · 18) 1/2 = (162) 1/2 = 81
so ahmad will need 81ft² of fabric for sail a
question 6:
we know that the formula to find the area of a triangle is (b · h) 1/2 = a, since we know the height and the area of the triangle we plug them into the equation to find the measurement of the base.
(b · 18) 1/2 = 108
= 108/ 1/2
(b · 18) = 216
18b = 216
18b/18 = 216/18
b= 12
check your work:
(12 · 18) 1/2 = 108
(216) 1/2 = 108
108 = 108 true!
the base measurement for sail b is 12ft
hope this helps and have a great day!!
The horizontal asymptote is Y=2
