Answer:
We will split the trapezoid into right angle triangle and rectangle
Traingle with base 3cm and height 10 - 6 = 4cm
Area of traingle
= 
Area of rectangle with sides 6cm and 3cm
=
Therefore, area of the trapezoid
=
Area of the semi circle with radius 3/2 = 1.5cm
= 

Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term

Plug in
and you should get the following:

The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in
which shifts everything one spot to the left.
Answer:
6(4a+1)
Step-by-step explanation:
Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,



Now we have to move 4x to the left side by subtracting 4x from both sides.



To get x, we will divide both sides by 17. We will get,


So the smaller number = 
The larger number =
= 
So we have got the required numbers.
Smaller number =
and larger number =
.