Determine the sum of the following series: 2+6+18+54+...+39366

Mathematics

2 answers:

Fantom [35]3 years ago

8 0

The answer is 39446 i hope this helps

Anuta_ua [19.1K]3 years ago

7 0

Answer:

<em>59,048 </em>is the answer on K12 quiz

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What is the area of a parallelogram with a base of 38 meters and a height of 12 meters?

8090 [49]

For this case we have by definition that the area of a parallelogram is given by:

$A = b * h$

Where:

b: It's the base

h: It's the height

According to the data we have:

$b = 38\ m\\h = 12 \ m$

Substituting in the formula:

$A = 38 * 12\\A = 456$

The area of the parallelogram is $A = 456 \ m ^ 2$

Answer:

$A = 456 \ m ^ 2$

4 0

3 years ago

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Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work.

LuckyWell [14K]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle.

Opposite angles of a Quadrilateral are Supplementary.

$\therefore \: \angle A + \angle C = 180° \\ \therefore \:(2x + 3) \degree+ (2x + 1) \degree = 180° \\ \therefore \: (4x + 4) \degree = 180° \\ \therefore \: (4x + 4) = 180 \\ \therefore \: 4x = 180 - 4 \\ \therefore \: 4x = 176 \\ \therefore \: x = \frac{176}{4} \\ \therefore \: x = 44 \\ \\ m\angle A = (2x + 3) \degree \\ = (2 \times 44 + 3) \degree \\ = (88 + 3) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle A =91 \degree}} \\ \\ m\angle C = (2x + 1) \degree \\ = (2 \times 44 + 1) \degree \\ = (88 + 1) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle C=89\degree}} \\ \\ m\angle D= (x - 10) \degree \\ = (44 - 10) \degree \\ \huge \red{ \boxed{ \therefore \: m\angle D =34\degree}} \\ \\ similarly \\ \\ \huge \red{ \boxed{ \therefore \: m\angle B = 146\degree}} \\ \\$