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3 years ago

I need help on this math problem.!!

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

7 0

The polygon shown is a pentagon, a five-sided polygon.

There is a formula to find the sum of the measures of the interior angles of any polygon.

S = (n - 2)180

S = sum of the measures of the interior angles

n = number of sides

This is a pentagon, so it has 5 sides. n = 5

We can find the sum, S, of the measures of the angles of any pentagon.

S = (n - 2)180

S = (5 - 2)180

S = 3(180)

S = 540

The sum of the measures of the interior angles of a pentagon is 540 deg.

Now we add all the measures that are shown and subtract from the sum of the measures. That will give us the measure x.

104 + 117 + 100 + 124 = 445

540 - 445 = 95

x = 95

vodomira [7]3 years ago

6 0

x = 95°

the polygon has 5 sides so you do n - 2 which is (number of sides - 2) this gives us 3. now multiply 3 times 180, this gives us 540. now add up all the sides that you know, 104, 117, 100, 124, this is 445 now subract 445 from 540 and that is what gives us 95°

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Part F

mihalych1998 [28]

Answer:

The geometric mean of the measures of the line segments AD and DC is 60/13

Step-by-step explanation:

Geometric mean: BD² = AD×DC

BD = √(AD×DC)

hypotenuse/leg = leg/part

ΔADB: AC/12 = 12/AD

AC×AD = 12×12 = 144

AD = 144/AC

ΔBDC: AC/5 = 5/DC

AC×DC = 5×5 = 25

DC = 25/AC

BD = √[(144/AC)(25/AC)]

BD = (12×5)/AC

BD= 60/AC

Apply Pythagoras theorem in ΔABC

AC² = 12² + 5²

AC² = 144+ 25 = 169

AC = √169 = 13

BD = 60/13

The geometric mean of the measures of the line segments AD and DC is BD = 60/13

6 0

3 years ago

Alan needs to manufacture a circular metal plate with a perimeter of `10pi` centimeters. If the allowed error tolerance in the p

AnnZ [28]

The ideal radius Alan must control is $\frac{1}{2\pi }$ cm.

<h3>Define perimeter of circle.</h3>

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.

Given data -

Perimeter of circular plate = 10 $\pi$ cm

We know that perimeter of a circle is 2 $\pi$ r

Therefore 10 $\pi$ = 2 $\pi$ r

r = 5 cm

The given error Alan can make is +-1 cm.

Minimum radius is given by

2 $\pi$ r = 10 $\pi$ - 1

r = $\frac{10\pi - 1 }{2\pi }$

r = 5 - $\frac{1}{2\pi }$

Maximum radius is given by

2 $\pi$ r = 10 $\pi$ + 1

r = $\frac{10\pi + 1 }{2\pi }$

r = 5 + $\frac{1}{2\pi }$

The ideal radius Alan must control is $\frac{1}{2\pi }$ cm.

To know more about perimeter of circle, visit:

brainly.com/question/2718232

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1 year ago

A fan is marked up 40% on the original price the original price was 20$ what is the new price of the fan before sales tax

Art [367]

Answer:

28 dollars is the new price.

Step-by-step explanation:

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3 years ago

Please help ASAP!!! Find the area of the triangle.

pentagon [3]

Answer:

2.3cm x 4cm =

4 0

2 years ago

In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the

earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

$=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278$

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

$=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277$

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

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3 years ago