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4 years ago

Calculate the area of the figure below using the following information:

Mathematics

2 answers:

vekshin14 years ago

6 0

Answer:

106.5 square units.

Step-by-step explanation:

See the attached diagram.

The pentagon ABCDE consists of three triangles namely Δ ABC, Δ ACD, and Δ ADE when we join the diagonals AC and AD.

So, Area of Pentagon ABCDE = Area of Δ ABC + Area of Δ ACD + Area of triangle Δ ADE.

⇒ Area of Pentagon ABCDE = (31.8 + 39.2 + 35.5) = 106.5 square units. (Answer)

Natasha2012 [34]4 years ago

3 0

Answer:

106.5 all u do is add them together

Step-by-step explanation:

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Express 5×-4y=20 in the form a×+by+c=0and write the value of a,band c

finlep [7]

Answer:

a = 5

b = -4

c = -20

Step-by-step explanation:

Here, we want to express the given equation in the following form;

So we can have this as;

5x-4y-20 = 0

That means we have;

a as 5

b as -4

and c as -20

4 0

3 years ago

Write down the first term in the sequence given by: T(n)=n^2+3

Anton [14]

Some people call 'n' "zero" for the first term, others call 'n' "1".

-- If n=0 for the first term, then T(0) = 0² + 3 = 3 .

-- If n=1 for the first term, then T(1) = 1² + 3 = 4 .

8 0

3 years ago

Read 2 more answers

Underline all the ordered pairs (x,y) that are solutions to the equation y=2x+1.

Romashka [77]

Answer:

(3,7) (7,3) (−1,14) (0,1) (12,25)

(5,11) (0,12) (1,8) (12,0) (−1,−1)

Step-by-step explanation:

We have the following function:

$y = 2x+1$ .

We are going to check if each ordered pair is a solution.

(3,7)

If when $x = 3, y = 7$ , it is a solution.

$y = 2x + 1 = 2(3) + 1 = 7$

This ordered pair is a solution.

(7,3)

If when $x = 7, y = 3$ , it is a solution.

$y = 2x + 1 = 2(7) + 1 = 15$

This ordered pair is not a solution.

(-1,14)

If when $x = -1, y = 14$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is not a solution.

(0,1)

If when $x = 0, y = 1$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is a solution.

(12,25)

If when $x = 12, y = 25$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is a solution.

(5,11)

If when $x = 5, y = 11$ , it is a solution.

$y = 2x + 1 = 2(5) + 1 = 11$

This ordered pair is a solution.

(0,12)

If when $x = 0, y = 12$ , it is a solution.

$y = 2x + 1 = 2(0) + 1 = 1$

This ordered pair is not a solution.

(1,8)

If when $x = 1, y = 8$ , it is a solution.

$y = 2x + 1 = 2(1) + 1 = 3$

This ordered pair is not a solution.

(12,0)

If when $x = 12, y = 0$ , it is a solution.

$y = 2x + 1 = 2(12) + 1 = 25$

This ordered pair is not a solution.

(-1,-1)

If when $x = -1, y = -1$ , it is a solution.

$y = 2x + 1 = 2(-1) + 1 = -1$

This ordered pair is a solution.

3 0

3 years ago

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1 / 4^-2 = ____

lions [1.4K]

$\frac{1}{4^{-2}}=\frac{1}{\left(\frac{1}{4}\right)^2}=\frac{1}{\frac{1}{4^2}}=4^2=16$

5 0

3 years ago

Read 2 more answers

Alyssa and her father are going to paint the house this summer.

nekit [7.7K]

Answer:

The formula to determine the area covered by one can of paint is $p = \frac{w}{6}$

Step-by-step explanation:

The formula that describes this scenario , 6=w/p

where

w is the total area of the walls

p is area covered by a can of paint

The formula says that to paint the total area we need 6 can of paints

Thus to with the one paint can the area that can be covered is

$\bold{6=\frac{\text{total area of the walls}}{\text{area covered by a can of paint}}}$

$\bold{{\text{area covered by a can of paint}}=\frac{\text{total area of the walls}}{6}}$

$p = \frac{w}{6}$

3 0

4 years ago