Answer:
2800
Step-by-step explanation:
Just round the 43 to 40 and the 68 to 70. So the problem then converts to 40x70 to get a rough estimate. 40x70=2800
Answer:

Step-by-step explanation:
Given


Midpoint, T
Required
Determine PT
First, the value of x has to be calculated;
Since T is the midpoint, then:

This implies

Solve for x




Length PQ can then be calculated using:


Collect Like Terms


Substitute 6 for x



Answer:
24/45 - 45/51
Step-by-step explanation:
Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.
Let's assume
shorter side as x
so, first side =2x
third side =x+19
now, we can find perimeter of triangle
perimeter of any triangle is
first side + shortest side + third side
so, we get

we are given perimeter=187
so, we can set it to 187
and then solve for x





so,
shortest length is x=42 feet
First side =2x=2*42=84feet
third side =x+19=42+19=61 feet
so, dimensions are
first side is 42 feet
second side is 84 feet
third side is 61 feet................Answer