Answer: 46 yds².
Step-by-step explanation:
Find the area of all surfaces & add them up:
(5 · 3) + (5 · 3) + (1 · 3) + (1 · 3) + (1 · 5) + (1 · 5) = 15 + 15 + 3 + 3 + 5 + 5
= 30 + 6 + 10 = 36 + 10 = 46 square
Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

Solving for y

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

Or equivalently

Replacing y from the first equation

Operating

Simplifying


Riley has 72 tokens
Work is provided in the image attached.
Although you did not include units, I just used centimeters.
However, if there were no units, then just put your answer.
If you do not understand my work,
please ask me in the comments below.
Answer:
(100)^0=1
Step-by-step explanation:
This follows the laws of indices