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Anarel [89]
3 years ago
6

I really need help please

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

264 cm^2

Step-by-step explanation:

Area of a trapezoid = 1/2 (b1+b2) *h

The area of the large trapezoid

b1 = 14  b2 = 25  h = 10+12 = 22

A = 1/2 (14+25) *22 = 429 cm^2

The area of the unshaded trapezoid

b1 = 8  b2 = 25  h = 10

A = 1/2 (8+25) *10 = 165 cm^2

To find the area of the shaded region, take the area of the large trapezoid and subtract the unshaded trapezoid

429 - 165 =264 cm^2

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Leokris [45]

Answer:

Answer is C

Step-by-step explanation:

When we do the vertical line test the line intersects (cause its a circle)

This could explain better

3 0
3 years ago
Read 2 more answers
SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).
Ann [662]

Answer:

Required series is:

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

Step-by-step explanation:

Given that

                           f'(x) = -\frac{1}{1 + x^{2}} ---(1)

We know that:

                  \frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}} ---(2)

Comparing (1) and (2)

                           f'(x)=-(tan^{-1}x) ---- (3)

Using power series expansion for tan^{-1}x

f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx

= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx

=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]

=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}

=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

as

                 tan^{-1}(0)=0 \implies C=0

Hence,

\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....

7 0
4 years ago
What is the solution to the system of equations shown below?
My name is Ann [436]

Answer:

Step-by-step explanation:

____

Good evening ,

_______________

2(7) + 5(1) + 3(-3) = 10

3(7) ­ - (1) + 4(-3) = 8

5(7) - ­ 2(1) + 7(-3) = 12

Then (7,1,-3) is a solution to system

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:)

8 0
3 years ago
How do you get high marks on a test??? Quickkk
Fed [463]

Answer:

Revise

Step-by-step explanation:

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Hope this helped!

5 0
3 years ago
Translate the following verbal statement into an algebraic expression. Use x for your variable.
mafiozo [28]

Answer:

<u>x²/11 + 8</u>

Step-by-step explanation:

We can decipher this algebraic expression going step by step.

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3) We can combine both of these, getting x²/11 + 8.

Your expression is x²/11 + 8.

- Similarly, you could reposition this equation like 8 + x²/11 (due to the communicative property of addition). Both answers would be acceptable.

5 0
3 years ago
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