Answer: 8 feet
Step-by-step explanation:
Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:
a^2 + b^2 = c^2
(building)^2 + (missing piece)^2 = (ladder)^2
6^2 + x^2 = 10^2
36 + x^2 = 100. subtract 36
x^2 = 64. square root of both sides
x = 8
Let x = the minutes that Tom has remaining before exceeding 500 minutes.
Because he has already used 230 minutes, the total minutes he has is
x + 230
We want this total to be less than or equal to 500 minutes.
Therefore
x + 230 ≤ 500
Answer: x + 230 ≤ 500
You multiply the two side lengths for area
To get 52x^3y
To find perimeter you add all the side lengths to get 8x^2+26x
First, we are going to find the common ratio of our geometric sequence using the formula:
. For our sequence, we can infer that
and
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that
; we also know for our previous calculation that
. So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
Answer: C
Step-by-step explanation:
Since everything is absolute value the negatives can be disregarded. This means the which everyone has the alligator mouth pointing to the bigger number it is the correct answer. This is true for c as the absolute value of -15 = 15 which is greater than the absolute value of 12 which is 12.
