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3 years ago

Ejercicio 34 - College Board

Mathematics

1 answer:

NISA [10]3 years ago

7 0

360 es un globo, ⭕️, 180 es un

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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

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2 years ago

12 POINTS!!!

dimaraw [331]

Answer:

Step-by-step explanation:

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3 years ago

What is the temperature, in degrees Fahrenheit, shown on the thermometer to the nearest integer? Enter your integer answer in th

Illusion [34]

It’s negative 4 because the scale shows there is 4 lines

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2 years ago

How to have a different rectangle with the same perimeter

Nuetrik [128]

To have a different rectangle with the same perimeter you just have different measurements. If you need an example let me know!

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3 years ago

Assume ABC Company deposits $90,000 with First National Bank in an account earning interest at 6% per annum, compounded and semi

Brilliant_brown [7]

Answer: A) $120,953

Step-by-step explanation:

The formula to calculate the compound amount (semi-annually):-

$A=P(1+\dfrac{r}{2})^{2n}$ , where P is principal amount , r is rate of interest and n is the number of time periods.

Given : Principal amount : P= $90,000

Rate of interest : 6% per annum = 0.06 per annum

Time period : n= 5 years

$A=(90000)(1+\dfrac{0.06}{2})^{2\times5}=120952.474141\approx 120,953$

Hence, the ABC will have $ 120,953 in the account after five years if interest is reinvested.

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3 years ago