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tigry1 [53]
3 years ago
13

A swimming pool is in the shape of a regular decagon. One edge of the pool is directly against the outside wall of a house. Find

the measure x of the angle between the house and the pool.
Mathematics
1 answer:
Mazyrski [523]3 years ago
6 0

Answer:

36 degrees.

Step-by-step explanation:

Total Sum of the Exterior Angle of a Regular Polygon=360^0

One Exterior Angle of a n-sided regular polygon=\dfrac{360^0}{n}

A decagon has 10 sides.

One Exterior Angle of a decagon=\dfrac{360^0}{10}=36^0

Therefore, the measure x of the angle between the house and the pool is 36 degrees.

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The factored form of a quadratic equation is y=(2x+1)(x-5), and the standard form is y=2x²-9x-5. Which of the following statemen
Troyanec [42]

Answer:

<h2>B) The x-intercepts are -1/2 and 5,</h2><h2>and the y-intercept is -5.</h2>

Step-by-step explanation:

The intercept form of a quadratic equation y = ax² + bx + c:

y=a(x-p)(x-q)

\text{x-intercepts:}\ p\ \text{and}\ q\\\\\text{y-intercept}:\ a(-p)(-q)

We have the equation:

y=2x^2-9x-5=(2x+1)(x-5)

2x+1=2\left(x+\dfrac{1}{2}\right)\to y=2\left(x+\dfrac{1}{2}\right)(x-5)

y=2\bigg(x-\left(-\dfrac{1}{2}\right)\bigg)(x-5)

Therefore

a=2\\\\x-intercepts:\ p=-\dfrac{1}{2}\ \text{and}\ q=5\\\\\text{y-intercept:}\ (2)\left(-\dfrac{1}{2}\right)(5)=-5

5 0
3 years ago
................................................................................................................................
Vlad [161]

Indeed a good day!

Sir/ or maam

5 0
3 years ago
Find the value of x and y
Ann [662]

Answer:

x=16

y=23

Step-by-step explanation:

angle (4x+4) and angle (7x-44) are alternate exterior angles which are equal, so we can set up an equation like this to find x:

4x+4=7x−44

calculate it then you'll get x=16

for the next one I'm not really sure how to explain since they are not labeled but,.. since we have the measure 39 we can figure out by using the pairs 'interior angles on the same side of a transversal' and 'vertical angles' that it's equal to 141, so to find y we use the equation

8y-43=141

calculate it and you'll get y=23

5 0
3 years ago
Calculate gross pay for 42 hours worked at $8.00 per hour.
ololo11 [35]

Answer:

$336

Step-by-step explanation:

Gross Pay is pay before taxes. We get that by multiplying number of hours worked with hourly rate.

Net Pay is the gross pay LESS taxes. We get that by subtracting the tax from gross pay.

Here, we just need gross pay. We have:

Hourly Rate = 8

Hours Worked = 42

Gross Pay = Hourly Rate * Hours Worked = 8 * 42 = 336

Hence, Gross Pay = $336

6 0
3 years ago
HELP PLEASEEEE!!
emmasim [6.3K]

31.0 degrees

TanX wich is 30/50

same thing as 30 divided by 50

7 0
3 years ago
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