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3 years ago

What is the relationship between the measure of angle and the reflex measure of the angle

Mathematics

1 answer:

Alenkinab [10]3 years ago

8 0

The relationship between the measure of an angle and its reflex angle is their sum is 360 degrees

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A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi

Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = $\dbinom{4}{2}$ × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = $\dbinom{4}{0}$ × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = $\dbinom{4}{1}$ × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = $\dbinom{4}{2}$ × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0

2 years ago

Need help asap pls!!!

lisabon 2012 [21]

Answer:

Step-by-step explanation:

According to the given description, PS is the mid segment of the $\triangle TQR$

Therefore by Mid-segment Theorem:

$PS = \frac{1}{2} QR \\ \\ PS = \frac{1}{2} \times 32 \\ \\ PS =16 \:$

3 0

2 years ago

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

3 years ago

Which section of the function is decreasing?

Allisa [31]

Answer:

Step-by-step explanation:

A section is decreasing

8 0

3 years ago

What is the value of w?

sergeinik [125]

Answer: Most likely, the value of w is 5 units.

Step-by-step explanation: P = 2L + 2w

If the perimeter is 28, the side lengths must be less than 14, otherwise there is no width, just two lines on top of one another.

If the width is 7, then all four sides would be 7 units, and <u>that would create a square</u>-- which is a type of rectangle-- but probably not what this question is about.

A width of 5 units makes sense, 2w would be 10, leaving 28-10 = 18 to be divided by 2 for lengths of 9

The rectangle would have a width of 5 units and a length of 9 units.

7 0

3 years ago