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Zigmanuir [339]
4 years ago
6

What is the total surface area if the composite figure below?

Mathematics
1 answer:
trasher [3.6K]4 years ago
5 0

(8cm×5cm)+(1/2×5×5)cm^2

=40cm^2+12.5cm^2

=52.5cm^2

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Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0
2 years ago
A circle has a radius of three. An arc in the circle has essential angle of 20°. What is the length of the arc
Nataliya [291]

Answer:

1.048

Step-by-step explanation:

<em>(thiter \div 360) \times \pi \times diameter</em>

  1. <em>(20 \div 360) \times \pi \times 6</em>
  2. <em>After</em><em> </em><em>calculati</em><em>ng</em><em> </em><em>the</em><em> </em><em>answer</em><em> is</em><em> </em><em>1</em><em>.</em><em>0</em><em>4</em><em>8</em>
6 0
4 years ago
At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin
Mariana [72]
Firstly, we need to know the price of the TV after the 110$ increase.
     $165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
     $181.50 x 0.065 = $11.79
     6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29
4 0
4 years ago
PLS ANSWER I WILL GIVE YOU BRAINLIST AND A THANK YOU!!
Arte-miy333 [17]

Answer:

x=45

Step-by-step explanation:

2x+45+x=180

Combine 2x and x to get 3x.

3x+45=180

Subtract 45 from both sides.

3x=180−45

Subtract 45 from 180 to get 135.

3x=135

Divide both sides by 3.

x=135/3

Divide 135 by 3

x=45

8 0
3 years ago
The total cost of eight tickets to a water park is $158.80. Each ticket costs the same amount. What is the cost of one ticket?
e-lub [12.9K]

Answer:

19.85

Step-by-step explanation:

158.80 divided by 8 is 19.85

8 0
3 years ago
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