Answer:
A) Tan 60°
= 1.732
B) H = 12 unit
C) Area of triangle = 41.569 unit²
Step-by-step explanation:
As shown in figure, the triangle with cone angle of 60° and base value 4
unit
A) Now, Tan 60° =
Or, Tan 60° = 1.732
B) To find value of h
since TanФ = ![\frac{Perpendicular}{Base}](https://tex.z-dn.net/?f=%5Cfrac%7BPerpendicular%7D%7BBase%7D)
So, Tan 60° =
= ![\frac{h}{4\sqrt{3} }](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B4%5Csqrt%7B3%7D%20%7D)
∴(
) × (
= h
∴ h = 12 unit
C) Area of this triangle =
× Perpendicular × Base
=
× h ×![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
∵ Perpendicular h = 12 unit
So, Area =
× 12 × ![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
Hence Area of triangle = 41.569 unit²
ANSWER
An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:
Let x = number of consoles to be bought
y = number of games to be bought
z = number of controllers to bebought
C = total cost of all
The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,
C = 299x + 59.99y + 29.99z
Answer:
B. 0
Step-by-step explanation:
The circles do not intersect, tangents require intersection