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Oksi-84 [34.3K]
3 years ago
14

Please solve the problem.

Mathematics
1 answer:
Deffense [45]3 years ago
3 0
OK.  I did it, and I have the solution.
_____________________________________

The length of the deck is  (5 + 2x) .
The width of the deck is   (4 + 2x) .

If the deck didn't have that big hole in the middle where the pool is,
then its area would be

                 (5 + 2x) · (4 + 2x) .

When you multiply that all out, you get    Area = 4x² + 18x + 20

and the question tells us that the area of the whole big rectangle is 90 yds² .
So we can write

                                             4x² + 18x + 20  =  90 .

Subtract 90 from each side:    4x² + 18x - 70  =  0
Divide each side by 2 :           2x² + 9x - 35  =  0

You can use the quadratic equation to solve that and find out that
x = 2.5 yards, and that's what the question is asking you.
___________________________________________________

That makes the deck  10 yds high and 9 yds wide.

Total area of the whole big rectangle, (deck + pool ),  =  90 yds².
 
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It has been proved that the 5 star vertices have their sum of angles as A + B + C + D + E = 180°

<h3>How to find the sum of angles of a polygon?</h3>

The adjoining star contains a regular pentagon. Thus;

Sum of interior angles of the pentagon = (5 - 2) * 180 = 540°

Thus;

Each interior angle of the pentagon = 540/5 = 108°

Thus, each exterior angle = 180 - 108 = 72°

Then measure of the angle at the vertex = 180 - 72 - 72 = 36°

Thus, each angle at the vertices of the star have an angle of 36°.

There are 5 star vertices and so;

Sum of angles of 5 star vertices = 5 * 36 = 180°

Read more about Angles in a Polygon at; brainly.com/question/1592456

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6 0
2 years ago
(Giving 80 points, Please do not answer if you don't know. The second and third answer are not 4 btw)
Jobisdone [24]

Answer:

1. 4

2. 10

3. 14

Step-by-step explanation:

A = -6

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D = 8

1. BC = |0 - 4| = 4

2. AC = |-6 - 4| = |-10| = 10

3. AD = |-6 - 8| = |-14| = 14

3 0
1 year ago
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The value of a car t years after it is purchased is given by the decreasing function V, where V(t) is measured in dollars. The r
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Answer:

dV(t)/dt = kV(t)

Step-by-step explanation:

Since the rate of change of the car’s value in dollars per year dV(t)/dt is proportional to the car’s value V(t), ten

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dV(t)/dt = kV(t)

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Answer:

x = 50

Step-by-step explanation:

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70 + 60 + y = 180 and

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That means that x = 50 as well, since vertical angles are congruent

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What is the area of a triangle that has a base of 15 yards and a height of 11 yards?
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A = hb/2
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3 years ago
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