Answer:
Part 3)
Part 4) 
Step-by-step explanation:
Part 3)
<em>step 1</em>
Find the value of x
In the right triangle of the figure we know that
The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse
so
and remember that
substitute
Simplify
<em>step 2</em>
Find the value of y
In the right triangle of the figure we know that
The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse
so
and remember that
substitute
Part 4) Find the value of x
Applying the Pythagoras Theorem
Simplify
It is C. Associative property of multiplication
Answer: L = 29cm
Step-by-step explanation:
Let's go!!
To find any rectangle area, you have to apply this formula: A = L . w , where L is the length and w is the width.
So, we have w = L - 13 (the width is 13 less than the Length) and then, perimeter is 90 cm.
Well, I hope you remember that the perimeter of rectangle is 2L + 2W. In this case, 2L + 2w = 90
Then, you might to solve this system of equation:
2L + 2w = 90
w = L - 13
Simplifying the first equation, you'll have L + w = 45 (you can divide everything of 2).
Our new system:
L + w = 45
w = L - 13
Using the substituition method:
L + L - 13 = 45
2L = 58
L = 29 cm
the width is 29 - 13 = 16 cm
Answer:
3 and 11/8 or 4 and 3/8
Step-by-step explanation:
Answer:
9.5 feet
Step-by-step explanation:
According to the question
The equation is
x²=90
x=√90
x=3√10 or 9.5
