Find the sum of the interior angle measures of a 5-gon.

Mathematics

1 answer:

Irina-Kira [14]3 years ago

8 0

Answer:

540°

Step-by-step explanation:

The sum of interior angles in a polygon is equal to 180(x-2) where x is the number of sides. Since there are 5 sides, 180(5-2)=540°.

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A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is

Sloan [31]

Answer:

$x \approx 21.080\,ft$ , $y = 29.080\,ft$

Step-by-step explanation:

The total area of the pool and the walkway is:

$(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^{2}$

$(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^{2}$

$x^{2} + 20\cdot x + 84\,ft^{2} = 950\,ft^{2}$

$x^{2} + 20\cdot x - 866\,ft^{2} = 0$

The roots of the second-order polynomial is:

$x_{1} \approx 21.080\,ft$ and $x_{2} \approx -41.081\,ft$

The only possible root is:

$x \approx 21.080\,ft$

The other dimension of the pool is:

$y = x + 8\,ft$

$y = 21.080\,ft + 8\,ft$

$y = 29.080\,ft$

3 0

3 years ago

Calculate the sum of the first 30 terms in the sequence that begins with 70,65,60

Afina-wow [57]

$\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle \Large \boldsymbol{} a_1=70 \ ; \ d=-5 \\\\S_n=\frac{a_1+a_n}{2} \cdot n \ ; \ a_n=a_1+(n-1)d \Longrightarrow \\\\\\ S_{30}=\frac{70+70-29\cdot5}{2} \cdot 30 =-75 \\\\\\Answer: S_{30}=-75$