Answer:
Step-by-step explanation:
The figure is a combination of a triangle and a rectangle
Area of rectangle = bh = 15(5) = 75
We have no way of finding the height of the triangle, unless there is some information that I don't see with regard to the figure.
Answer:
31 is a prime number.
How to tell if a number is prime: estimate the square root. In this case, we know the square root of 31 is between 5 and 6 and it isn’t divisible by either of those. If it is divisible by a number higher than it’s square root, the other factor must be lower. Is it divisible by 4 or 2? no, because it isn’t an even number. It’s not divisible by 3, because there’s a remainder of 1 if you try. You’ve eliminated all numbers less than the square root, so it is prime
Answer:
see explanation
Step-by-step explanation:
The n th term of a geometric progression is
• 
= a₁ 
where a₁ is the first term and r the common ratio
given a₄ = 24, then
a₁
= 24 → (1)
Given a₈ = 
, then
a₁
= → (2)
Divide (2) by (1)
= 
= 
Hence r = ![\sqrt[4]{\frac{1}{81} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B1%7D%7B81%7D%20%7D)
= 
Substitute this value into (1)
a₁ × ( )³ = 24
a₁ × 
= 24, hence
a₁ = 24 × 27 = 648
0.1
1*100 = 100
100/1000
=0.1
