Answer:

Step-by-step explanation:


Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w

( From equation (1) ),
= 882 in²
Answer:
21%
Step-by-step explanation:
15/70=21.14 round to 21
Answer:
The measure of the missing angle is 90°
Step-by-step explanation:
∵ This figure is a quadrilateral
∴ the sum of measures of its angles = 360°
∴ m∠x = 360 - 107 - 72 - 91 = 90°
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge =
+ 
= 
Thus,
<CAB =
-
= 
<CBA =
-
= 
Sine rule states;
=
= 
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
b = 
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
= 
= 
= 
cross multiply,
a = 
= 124.8073
Sarge is about 125 feet away from the fire.