Answer:
i think it is -7-24i
Step-by-step explanation:
you have to write it in the form a+bi, so a=-7 and b=-24
For instance, there's a big birthday party going on. The birthday kid invited his friends over to celebrate. Some of his friends' parents also decides to come over. There are in total of 12 kids currently at the party. We know we have 30 people at the party, but how many adults are there? a + 12 = 30, this gives us 18, which means there are in total of 18 adults at the party.
Answer:
8 ft
Step-by-step explanation:
The area (A) of a triangle =
bh
where b is the base and h the perpendicular height
Using b = 20 and h = 12, then
A = 0.5 × 20 × 12 = 120 ft²
Using b = 30 and perpendicular height = h, then
0.5 × 30 × h = 120
15h = 120 ( divide both sides by 15
h = 8
Answer:
$104.51
Step-by-step explanation:
No.of people = 7
How much each person paid = $14.93
How much is the total bill = $14.93 x 7
= $104.51
<em>I was bored so I added the steps lol</em>
Answer:
The 32nd term of Arithmetic sequence is -174
Step-by-step explanation:
Given: ![a_1=12, a_{13}=-60](https://tex.z-dn.net/?f=a_1%3D12%2C%20a_%7B13%7D%3D-60)
We are given two term of the Arithmetic sequence.
Formula:
![a_n=a+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da%2B%28n-1%29d)
For ![a_1=12](https://tex.z-dn.net/?f=a_1%3D12)
![a=12](https://tex.z-dn.net/?f=a%3D12)
For ![a_{13}=-60](https://tex.z-dn.net/?f=a_%7B13%7D%3D-60)
![a+12d=-60](https://tex.z-dn.net/?f=a%2B12d%3D-60)
Using two equation solve for a and d
![12+12d=-60](https://tex.z-dn.net/?f=12%2B12d%3D-60)
![1+d=-5](https://tex.z-dn.net/?f=1%2Bd%3D-5)
![d=-6](https://tex.z-dn.net/?f=d%3D-6)
We need to find 32nd term
![a_{32}=a+31d](https://tex.z-dn.net/?f=a_%7B32%7D%3Da%2B31d)
![a_{32}=12+31(-6)](https://tex.z-dn.net/?f=a_%7B32%7D%3D12%2B31%28-6%29)
![a_{32}=12-186](https://tex.z-dn.net/?f=a_%7B32%7D%3D12-186)
![a_{32}=-174](https://tex.z-dn.net/?f=a_%7B32%7D%3D-174)
Hence, The 32nd term of Arithmetic sequence is -174