Answer:
D. 1.2
Step-by-step explanation:
The sum of an arithmetic sequence is the product of the average term value and the number of terms.
The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).
We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...
... (-1.8 + 1.9)/2 = 0.05
The product of this value and the number of terms (24) is ...
... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence
Answer:
30.96 m²
Step-by-step explanation:
In white there are four parts of a circle, so we can split the 12 m in half to show the radius, and then solve to find the area of the full circle.
A = r²
a = (6)²
a = (36)
a = 113.04
Then you find the area of the whole box.
12 x 12 = 144
Then you subtract the area of the circle in white from the area of the whole box.
144 - 113.04 = 30.96 m²
So that’s the area of the shaded region.
A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle.
3 reds in the 10 remaining cards
so that is 30% are red
Answer:
and growth rate factor is 0.075
Step-by-step explanation:
The function that models the population of iguanas in a reptile garden is given by 
, where x is the number of years.
Since,
i.e. 
.
Therefore, the monthly growth rate function becomes,
i.e. 
.
i.e. .
Hence, the monthly growth rate is i.e. .
Also, the growth factor is given by 
= 0.075.
Thus, the growth factor to nearest thousandth place is 0.075.
