Answer:
<h2>The answer is 56 m</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
To find the area we must first find the length of the rectangle using it's area.
That's
Area = length × height
From the question
Area = 96 m²
height = 4 m
So we have
96 = 4l
Divide both sides by 4
length = 24 m
Now we have
Perimeter = 2(24) + 2(4)
= 48 + 8
We have the final answer as
<h3>56m</h3>
Hope this helps you
Answer:
10x^2-11x-6
Step-by-step explanation:
To expand, we use the FOIL method. You do this by multiplying each number inside the parenthesis by the other numbers in the other set of the parenthesis. For example, on this problem, you would multiply 5x by 2x, and then 5x by -3.
Step by step, you would:
5x * 2x = 10x^2
5x * -3 = -15x
2 * 2x = 4x
2 * -3 = -6
In an equation, it would expand to 10x^2-15x+4x-6
To simplify, you add like terms (constants and those with the same variable). In this case, you would add together all the terms ending in x.
-15x+4x=-11x
Now, you have added like terms together, so your simplified answer is 10x^2-11x-6.
Answer:
b = 8
c = 16
Step-by-step explanation:
From the given right triangle,
a = 
, m(∠B) = 30°
By applying sine rule in the given triangle,
cos(B) = 
cos(B) = 
cos(30°) = 
c = 16
Further we apply tangent rule,
tan(B) = 
tan(30°) = 
b = 8
