8.3 because .3 is in the tenths place but .03 is in the hundredths place, which is smaller.
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
<u>Given</u>:
Given that the side length of the base of the square pyramid is 16 inches.
The height of the pyramid is 22.1 inches.
We need to determine the volume of the square pyramid.
<u>Volume of the square pyramid:</u>
The volume of the square pyramid can be determined using the formula,
where B is the area of the base and h is the height of the pyramid.
Substituting B = (16 × 16) and h = 22.1, we get;
Thus, the volume of the pyramid is 1885.9 cubic inches.
Answer:
0.72
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relation of interest is ...
Cos = Adjacent/Hypotenuse
Then the cosine of angle C is ...
cos(C) = CD/CB = 21/29
cos(C) ≈ 0.72
Answer:
2k^5/k^-3
Step-by-step explanation:
1. Use Product Rule
2k^(3+2)/k^-3
2. Simplify you answer by adding 3+2
2k^5/k^-3
