Answer:
sum of twice a number and three is 21
2x + 3 = 21
x = 9
Answer:
The area of the composite figure is 392.12
.
Step-by-step explanation:
The area of the composite figure = area of trapezoid + area of rectangle
Area of trapezium =
( a +b)h
Where: a is the length of the first base, b the length of the second base and h is the height of the trapzium.
Applying Pythagoras theorem, the height, h, is;
h = 
= 
h = 2
Area of trapezium =
( a +b)h
=
(13 + 12) × 2
= 156
= 382.12
Area of trapezium is 382.12
Area of rectangle = length × width
= 5 × 2
= 10 
Area of rectangle = 10 
Therefore,
area of the composite figure = 382.12 + 10
= 392.12
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Stay safe
Answer:
I do not know
Step-by-step explanation:
I think so
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,

Substituting
,
and 
Hence, we get,

Simplifying, we have,

Multiplying both sides by 41, we have,

Rounding off to the nearest integer, we have,

Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.