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Lady bird [3.3K]
2 years ago
15

In the regular pentagon below, if AP = 4 m and BC = 10 m, find it's area.

Mathematics
1 answer:
12345 [234]2 years ago
4 0

First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)

Then find the area of one of the triangles:

Area of Triangle = \frac{1}{2} bh

A = \frac{1}{2} × 4 × 10

A = 20 m²

To find the area of the whole pentagon shape:

A = 20 × 5 = 100 m²

<em>Hope it helps!</em>

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Answer:

The obese woman

Step-by-step explanation:

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Connor most likely gave the obese woman the highest rating of guilt as she was the most vulnerable of the four who was likely to take actions related to someone with mental disorder.

8 0
3 years ago
There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
I need to understand how to solve this equation step by step
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So in order to get rid of the cubed roots, you must cube each side of the equation. what you do to one side you do to the other at all times. so when you cube a cubed root, you get whats in side. so after the first step, you should get x+5=8(2x+6) now distribute the 8 on the right side of the equation and get x+5=16x+48solve for x and get x=-43/15
5 0
3 years ago
In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking th
maw [93]

Answer:

\frac{1}{324632} probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

The correct five numbers from a set of 5. So

D = C_{5,5} = \frac{5!}{5!0!} = 1

Total outcomes:

Five numbers from a set of 35. So

T = C_{35,5} = \frac{35!}{5!30!} = 324632

Probability:

p = \frac{D}{T} = \frac{1}{324632}

\frac{1}{324632} probability of picking the winning combination

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2 years ago
Click on equation for a line that passes through coordinates (2, 1), (5, -1)
zheka24 [161]

Answer:

about -.66 x + 2.33

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3 years ago
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