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skad [1K]
4 years ago
8

Help me on this question please?

Mathematics
1 answer:
lozanna [386]4 years ago
3 0
The answer to the first part is D
The answer to the second part is A
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Identify the 12th term of the arithmetic sequence in which a7 = 40 and a18 = 106.
Lady_Fox [76]

we are given

airthematic sequence

we can use nth term formula

a_n=a_1+(n-1)d

n is number of terms

an is nth term

d is common difference

a1 is first term

We are given

a7=40

we can use it

a_7=a_1+(7-1)d

40=a_1+6d

a_1+6d=40

a18 = 106

a_1_8=a_1+(18-1)d

a_1+17d=106

we can subtract both equations

a_1+17d-a_1-6d=106-40

11d=66

d=6

now, we can find a1

a_1+6d=40

we can plug d=6

a_1+6*6=40

a_1=4

12th term:

a_1_2=a_1+(12-1)d

now, we can plug values

a_1_2=4+(12-1)*6

a_1_2=4+66

a_1_2=70

so, 12th term is 70...........Answer

3 0
4 years ago
.
Nitella [24]
Radius is 3 in and height is 9 in. Volume is 3²×9π=81π=254.34 cu in.
4 0
3 years ago
Read 2 more answers
How many times greater is the value of the 4 in 640,700 than the value of the 4 in 67,040
Dafna1 [17]
640,700 :- the four in this number is 40,000
67,040 :- the four in this number is 40

Now, we need to find out how many times greater 40,000 is than 40.

40,000/40 = 1000

Answer: It is 1000 times greater. 
6 0
4 years ago
Read 2 more answers
A line segment connecting any two opposite Vertex of a quadrilateral​
Wewaii [24]

Answer:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

Step-by-step explanation:

5 0
3 years ago
Which equation shows the commutative property of addition?
anygoal [31]

Answer:

4+3=3+4

Step-by-step explanation:

The commutative property of addition says that, the order in which you add two real numbers does not matter.

Let a,b\in \mathbb R, then

a+b=b+a

From the given options;

4+3=3+4

shows the commutative property of addition

7 0
4 years ago
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