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ioda
2 years ago
8

How do you calculate the area of a trapezoid?

Mathematics
1 answer:
german2 years ago
6 0
Atrap=(a+b)/2*h  a=base 1 b=base 2 c=height
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Show 2 different solutions to the task.
laila [671]

Answer with Step-by-step explanation:

1. We are given that an expression n^2+n

We have to prove that this expression is always is even for every integer.

There are two cases

1.n is odd integer

2.n is even integer

1.n is an odd positive integer

n square is also odd integer and n is odd .The sum of two odd integers is always even.

When is negative odd integer then n square is positive odd integer and n is negative odd integer.We know that difference of two odd integers is always even integer.Therefore, given expression is always even .

2.When n is even positive integer

Then n square is always positive even integer and n is positive integer .The sum of two even integers is always even.Hence, given expression is always even when n is even positive integer.

When n is negative even integer

n square is always positive even integer and n is even negative integer .The difference of two even integers is always even integer.

Hence, the given expression is always even for every integer.

2.By mathematical induction

Suppose n=1 then n= substituting in the given expression

1+1=2 =Even integer

Hence, it is true for n=1

Suppose it is true for n=k

then k^2+k is even integer

We shall prove that it is true for n=k+1

(k+1)^1+k+1

=k^1+2k+1+k+1

=k^2+k+2k+2

=Even +2(k+1)[/tex] because k^2+k is even

=Sum is even because sum even numbers is also even

Hence, the given expression is always even for every integer n.

3 0
3 years ago
What is the answer to <br> R/10 + 4 = 5
lesantik [10]

Answer:

R = 10.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Doña Mercedes' debt can be paid in 32 weeks, as long as $ 50 is paid in the first week, $ 80 in the second week, $ 110 in the th
KengaRu [80]

Answer:

Step-by-step explanation:

21

that is all

8 0
2 years ago
PLEASE HELP
Dmitrij [34]
If the equation for volume is V=l*w*h, you can plug in all of the information you know. When you do this, the equation becomes 1440=15*12*h, or 1440=180*h (because 15*12=180). You can divide both sides by 180 to get h. 1440/180=8, do the depth of the pool is 8 ft. You can also check this answer by making sure that 15*12*8 is equal to 1440 (which it is). I hope this helped!
7 0
2 years ago
Quiz TIme:
Pie

Answer:

97

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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