Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Answer:
I believe the answer is 1800
Step-by-step explanation:
120000 * 0.065 = 7800
120000 * 0.08 = 9600
9600 - 7800 = 1800
Answer:
Step-by-step explanation:
Hi there!
Factor by grouping:
Let y=0. Apply the zero product property:
AND
I hope this helps!
Oh wait i got it give me a sec <span>To </span>calculate percentage<span> decrease: First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number then this is a </span>percentage<span> increase.</span>
Answer: FIRST OPTION.
Step-by-step explanation:
For this exercise it is important to remember a property called "Quotient of Powers property".
By definition the Quotient of Powers property states the following:
You can observe the division of 
and 
. Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".
In this case, you have the following expression given in the exercise:
Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.
Therefore, you get the following result:
You can notice that it matches with the first option.
