First, let's define our variables.
Let's call our width X(given)
and our length, since it's 10 shorter than 3 times the width, we can call our length:
3x-10
So, the perimeter of a rectange is equal to 2 times the length + 2 times the width.
So, when we plug our values in, we get
The perimeter is 8x-20
Answer:
Variables
Step-by-step explanation:
Looking at the triangle we see the angles:
58, x
We also see a right angle, therefore you now have:
90, 58, 0
All three angles of a triangle should have a total of 180 degrees, so we add the known angles and subtract the total from 180.
90 + 58 = 148
180 - 148 = 32
Therefore, x = 32 or C
Answer:
8y + 8x + 0
Step-by-step explanation:
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
