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3 years ago

The measures of the interior angles of a quadrilateral are x°, 3xº, 5xº, and 7xº. Find the

Mathematics

1 answer:

djverab [1.8K]3 years ago

4 0

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Given a≠±b and a^2−b^2/a+b =12, find a−b.

11Alexandr11 [23.1K]

$\dfrac{a^2 - b^2}{a+b} = 12$

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Factorise a² - b² :
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$\dfrac{(a+b)(a-b)}{a+b} = 12$

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Crossed out common factors, (x + a) :
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$a- b = 12$

4 0

4 years ago

Read 2 more answers

What is the product of 246 and 176?

Dmitriy789 [7]

Answer:

43296

Step-by-step explanation:

6 0

3 years ago

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Find the value of the x in the figure shown.

Vlada [557]

Answer:

Step-by-step explanation:

x + 90 + 68 = 180

x + 158 = 180

x = 22

7 0

3 years ago

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A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine ma

Bingel [31]

Answer:

73.90%

Step-by-step explanation:

Let Event D=Defective, D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

$P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3$

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.

i.e. $P(N|D')$

$P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91$

Using Baye's Law of conditional Probability

$P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390$

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

5 0

3 years ago

Find the perimeter of the following.

-Dominant- [34]

Answer:

24.997 = 25.00 (rounded off to 2 decimal figures)

Step-by-step explanation:

By observation, we can see that both straight lines are of equal length and that the angle between the lines is 90°. Hence we can conclude that this is a quadrant of a circle with radius, r = 7 cm.

length of the curved section

= 1/4 x circumference of the circle

= 1/4 x 2πr

= 1/4 x 2 x 3.142 x 7

= 10.997 cm²

HEnce circumference = 10.997 + 7 + 7 = 24.997 = 25.00 (rounded off to 2 decimal figures)

8 0

3 years ago