Answer:
Step-by-step explanation:
Given inequality is
Simplifying:
Sign of the inequality changes of making both sides negative.
Hence the solution for the given inequality is represented by
This means that the original inequality will be true only for those values of t which are less than or equal to -13.
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.
