Answer:
S10 = 320
Step-by-step explanation:
The formula for calculating the sum of the nth term of an AP is expressed as
Sn = n/2(2a+(n-1)d))
Given
a = 4
d = 5
n = 10
S10 =10/2{2(5)+(10-1)5}
S10 =5{10+9(6)}
S10 =5{10+54}
S10 = 5(64)
S10 = 320
Hence the sum of the first ten terms of the sequence is 320
Answer:
1. This is an observational study.
2. The explanatory variable is A. red meat consumption
3. The response variable is B. Whether or not a subject dies.
Step-by-step explanation:
1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome
2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable
3. The response variable is known as the dependent variable it is our variable of interest. It is what the researcher is trying to find out. In this case the answer is whether or not the subject dies
If you notice the picture below
the hexagonal pyramid, is really just a hexagon at the bottom, 6 sides,
and 6 triangles stacked up to each other at the edges
so.. just get the area of the hexagon and the triangles, and add them up, that'd be the surface area of the pyramid
a triangle's area, you'd know is just 1/2 bh, and you have both of those there
now, for the hexagon, notice, we're given the length from the center to one of the sides, namely the "apothem"
thus
Answer:
∠1 and ∠2
∠3 and ∠4
∠5 and ∠6
Step-by-step explanation:
The question figure is shown below.
To find the angles which are supplementary angles.
Solution:
Supplementary angles are a pair of angles that lie on a straight line and hence the sum of the angle = 180°
In the figure shown below, there are three pairs of angles that lie on a straight line.
The pairs are:
∠1 and ∠2
∠3 and ∠4
∠5 and ∠6
Since all the three pairs of angles lie on a straight line, hence the pairs are called linear pairs or supplementary angles.