Answer:
an = 3n - 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
a8 = a + (8-1)d
a8 = a + 7d = 21 ....1
a10 = a+9d = 27 ....2
Subtract 1 from 2
7d - 9d = 21 - 27
-2d = -6
d = -6/-2
d = 3
Since a + 7d = 21
a + 7(3) = 31
a + 21 = 21
a = 21 - 21
a = 0
Get the nth term
Recall that an = a + (n-1)d
an = 0 + (n-1)*3
an = 3n - 3
Hence the nth term of the sequence is 3n - 3
Answer:
There are 144 square inches in a square foot.
Step-by-step explanation:
A square foot is a square that is 1 foot by 1 foot. Since there are 12 inches in 1 foot, and to get the area you need to multiple 2 adjacent sides together, you do 12 times 12 which is 144 square inches. Many people have the misconception that a square foot has 12 square inches, but this is wrong since a square foot has dimensions of 12 inches by 12 inches, but when you multiply them together, you can see that the answer is actually 144.
It is the Pareto Graph. It is a bar graph in which bars are arranged in frequency order. Pareto graph is the combination of bar and line graph that displays the data in a descending order. It has an 80/20 rule.
Answer:
if 8 people take 10 hours then
1 people 10 / 8 = 1.25 hours
then 14 people =
14 * 1.25 = 17.5 hours
Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
