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Ira Lisetskai [31]
3 years ago
9

PLEASE HELP!!!!!!!Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to labe

l your triangle first with your reference angle)

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)

Step-by-step explanation:

For the first picture :

The missing angle :

180 - (32 + 90)

180 - (122) = 58°

To obtain the length of side x:

From ptthagoras:

Tan58° = opposite / Adjacent

1.6003345 = 15 / x

x = 15 / 1.6003345

= 9.37

y = sqrt(15^2 + 9.37^2)

y = sqrt(312.7969)

y = 17.7m

2)

Missing angle :

From ptthagoras :

Sin54° = opposite / hypotenus

0.8090169 = y/ 24

y = 0.8090169 * 24

y = 19.42

x = sqrt(24^2 - 19.42^2)

x = sqrt(198.8636)

x = 14.10

3)

Sin21° = opposite / hypotenus

0.3583679 = 8 /y

y = 8 / 0.3583679

y = 22.3

x = sqrt(22.3^2 - 8^2)

x = sqrt(433.29)

x = 20.8

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Step-by-step explanation:

in this question, we would analyze the 3 options to determine which points gave us discontinuous in the category of discontinuity as jump, removable, infinite, etc.

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where x = 0 or x = 1.

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x = -3 is a removable discontinuity

also x = -2 is an infinite  discontinuity

(c). given that f(x) = │x -2│/ x - 2

from basic knowledge in modulus of a function,

│x│= │x       x ˃ 0 and at │-x    x ∠ 0

therefore, │x - 2│= at │x - 2,     x ˃ 0 and at  │-(x - 2)   x ∠ 2

so the function f(x) = at│ 1,     x ˃ 2 and at │-1,    x ∠ 2

∴ at x = 2 , the we have a Jump discontinuity.

NB. the figure uploaded below is a diagrammatic sketch of each of the function in the question.

cheers i hope this helps.

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