Hello from MrBillDoesMath!
Answer: N = 143
Discussion:
This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers: 11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of 3 consecutive primes. I went back to my list of primes, added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on 43, 47, and 53!
43 + 47 + 53 = 143 !
Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.
Thank you,
MrB
I think it’s D. 156 degrees
Answer:
(A)
- P(60) = 78.98
- When the bookstore spends $60 on a textbook, the student pays $78.98
Step-by-step explanation:
Given:
P(x) = 1.053(x+0.25x)
P(60) = 1.053(60+0.25*60)
=1.053(60+15)
=1.053(75)
P(60)=$78.98
Since x is the cost from the publisher, when the bookstore spends $60 on a textbook, the student pays $78.98.
<u>The correct option is A.</u>
Answer:
Step-by-step explanation:
Draw your figures the same way as I did, and see if you understand the explanations before writing them down. It's most important to learn from your work :)
Alright
for a 45-45-90 triangle, if the legs are x then the hytponuse is x√2
so LM=x√2 is right
NM=x
also, tan=oposite side/adjacent side
so that would be LN/MN or MN/LN=x/x=1
so that would be tan(45)=1
so you want to check the 1st one, 3rd one and 5th one
NM=x
LM=x√2
tan(45°)=1 are the answers
