Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by
, and that of the larger triangle by
.
Area of a triangle =
x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:

Area of smaller triangle =
x b x h
=
x 5 x h
=
h
Area of the lager triangle =
x b x h
=
x 8 x h
= 4h
So that;
Ratio = 
= 
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
= 
= 
5
= 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
Answer:
(44.25/75)*100 or (44.25/3)*4
Step-by-step explanation:
Divide by the price of $44.25 by 75 (100% - 25%) and mulitily by 100
or $44.25 by 3 and multyply by 4. (25% is a quarter 1/4, so you need 4/4)
if the circumference of the shield is 100.48inches, nits radius is 16 inches and the area of the front of the shield is about 803.84 square inches.
proof
circumference = 2x r x Pi implies r =circumference / 2Pi=100.48/2x3.14=16
area = Pi x r²=3.14 x 16²=804.84
Answer: c
Step-by-step explanation: