Answer:
1a) Length = 7x + 3 & Width = 4x - 2
1b) Area = 
1c) Area = 2774 sq. m
2. 
Step-by-step explanation:
1a)
The length given as words is "3 more than 7 times x"
The width given as words is "4 times x minus 2"
The expression for length would be 7x + 3
The expression for width would be 4x - 2
1b)
The area is length * width
Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:
Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6
Area = 
1c)
Given x = 10, we put this into the area expression we found in (b) above.Let's see:

Area = 2774 sq. m
2.
We can group the first two terms and next two terms and write up:

That's the factored form.
Answer:

Step-by-step explanation:
Given

--- First Quadrant
Required
Find tan(A)
The sin of an angle is:

and

By comparison:


So, the Adjacent is:



Collect like terms


Take square roots


The tangent of an angle is:

This gives:

Answer: 0.47
Step-by-step explanation:
Answer:
A. 219.80 square centimeters
Step-by-step explanation:
The total surface area is given by ...
A = πr(r+s)
where r is the radius and s is the slant height. Filling in the given numbers, you get ...
A = 3.14·(5 cm)·(5 cm +9 cm) = 219.80 cm²