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2 years ago

Find the missing lengths of the sides.

Mathematics

1 answer:

Irina18 [472]2 years ago

3 0

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

$\sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18$

$\tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9$

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PLEASE ANSWER QUICK! I REALLY NEED HELP!

Katarina [22]

Answer:

a) Angle 1 = Value in degree = 95°

b)Angle 2 = Value in degree = 77°

c) Angle 3 = Value in degree = 85°

d) Angle 4 = Value in degree = 103°

Step-by-step explanation:

We use circle theorems to solve for this above question.

a) Angle 1 = Value in degree = 95°

Inscribed Angle is 1/2 of an Intercepted Arc

From the diagram, Angle 1 intersects at Arc B and Arc C

This means Angle 1 = (B + C)/ 2 =

Arc B = 100°

Arc C = 90°

Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°

b)Angle 2 = Value in degree = 77°

From the diagram, Angle 2 intersects at Arc C and Arc D

Inscribed Angle is 1/2 of an Intercepted Arc

This means Angle 1 = (C+ D)/ 2

C = 90°

D = 64°

Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°

c) Angle 3 = Value in degree = 85°

From the diagram, we can see that Angle 1 is opposite Angle 3, hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 1 + Angle 3 = 180°

Angle 1 = 95°

95° + Angle 3 = 180°

Angle 3 = 180° - 95° = 85°

d) Angle 4 = Value in degree = 103°

From the diagram, we can see that Angle 2 is opposite Angle 4,

Hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 2 + Angle 4 = 180°

Angle 2 = 77°

77° + Angle 3 = 180°

Angle 4 = 180° - 77° = 103°

4 0

3 years ago

The AAA system contains 3 independent components in parallel, each with probability of failure 0.4. Find the expected number of

Gre4nikov [31]

Answer:

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not. The components are independent. We want to know how many outcomes until r failures. The expected value is given by

$E = \frac{r}{p}$

In which r is the number of failures we want and p is the probability of a failure.

In this problem, we have that:

r = 1 because we want the first failed unit.

$p = 0.4[\tex]So[tex]E = \frac{r}{p} = \frac{1}{0.4} = 2.5$

The expected number of systems inspected until the first failed unit is 2.5

8 0

3 years ago

XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 5, 3,

nadezda [96]

Answer:

4 ansences

Step-by-step explanation:

40 / 4 is 10 so ans is 10 absences

8 0

2 years ago

Having trouble with this, help please? <br><br> I will give brainliest.

yaroslaw [1]

Answer:

a) $7x-15=20$

b) $\frac{20+15}{7}$

c) 5

Step-by-step explanation:

4 0

1 year ago

Select the most appropriate response

Sergio039 [100]

Answer:its A

Step-by-step explanation:

5 0

3 years ago