Answer:
y=34, x=17 root 3
Step-by-step explanation:
30 60 90 triangle.
Shortest side is x, hypotenuse is 2x, bottom length is x root 3
Answer:


Step-by-step explanation:
Given



Required
The size of
of height 
First, we calculate the width using the following equivalent ratios

Express as fraction

Solve for x


Hence:
--- approximated
So, we have:


The size (diagonal) is then calculated using:




--- approximated
Answer:
The distance between the two boats after 2.5 hours is 57 m.
Step-by-step explanation:
The distance covered by each boat after 2.5 hours are:
speed = 
distance = speed x time
For boat A, speed = 14 km/h and time = 2.5 hrs.
So that,
distance = 14 x 2.5
= 35 km
For boat B, speed = 18 km/h and time = 2.5 hrs.
So that,
distance = 18 x 2.5
= 45 km
The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:
=
+
- 2bc Cos A
=
+
- 2(45 x 35) Cos 
= 2025 + 1225 - 3150 (0)
= 3250
x = 
= 57.0088
x = 57.0 m
The distance between the two boats after 2.5 hours is 57 m.
Answer:
Prisms
Pyramids
Step-by-step explanation:
Lateral faces of a pyramid are triangles (3 sided polygon)
Lateral faces of prisms are rectangles (4 sides polygon)