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Blizzard [7]
1 year ago
5

Write the expression for the Area of the polygon BORT MO 6 A= O A = 6m + mp O A = mp + 1/2(6m) O A = mp + 6p

Mathematics
1 answer:
anyanavicka [17]1 year ago
7 0

We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:

A_{sq}=mp

The area of the triangle is given by the following formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is its height. Replacing the values:

A_t=\frac{(6)(m)}{2}=\frac{1}{2}6m

The total area is the sum of both areas:

A=A_{sq}+A_t

replacing the areas:

A=mp+\frac{1}{2}6m

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Lady bird [3.3K]

\frac{a + 2}{3}  =  \frac{a - 4}{6}  \\ 6(a + 2) = 3(a - 4) \\ 6a + 12 = 3a - 12 \\ 3a =  - 24 \\ a =  - 8
5 0
3 years ago
Solve for x: x - 35 = 45<br><br> A. 10<br> B. 15<br> C. 35<br> D. 80
Leya [2.2K]

Answer:

X = 80

Step-by-step explanation:

Add 35 To Both Sides

X - 35 + 35 = 45 + 35

Simplify

X = 80

Best Of Luck,

- I.A. -

7 0
3 years ago
Read 2 more answers
Answer the question with explanation;​
PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0

Therefore, by the series divergence test, the series \sum_{n=1}^\infty\frac{n^2}{(n+1)^2} diverges.

EDIT: To VectorFundament120, if (x_n)_{n\in\mathbb N} is a sequence, both \lim x_n and \lim_{n\to\infty}x_n are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0
3 years ago
Read 2 more answers
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

6 0
3 years ago
Solve the system of equations
nekit [7.7K]

Answer: x = 3 and y = 1

Step-by-step explanation:

y = - x + 4 ............... equation 1

y = x - 2 ............. equation 2

Solving the linear equation by substitution method , we have :

substitute equation 2 into equation 1 , that is

x - 2 = - x + 4

Add 2 to both sides , we have

x = -x + 4 + 2

Add x to both sides , we have

2x = 6

divide through by 2

x = 3

Substitute x = 3 into equation 2 to find the value of y , we have

y = x - 2

y = 3 - 2

y = 1

Therefore : x = 3 and y = 1

8 0
3 years ago
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