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3 years ago

Is 4/7 an irrational number

Mathematics

1 answer:

ivann1987 [24]3 years ago

6 0

Answer:

All rational numbers are whole numbers so yes, 4/7 is an irrational number

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Evaluate cos(sin^-1(4/5)

PSYCHO15rus [73]

Step-by-step explanation:

$Let \: \: \theta = \sin^{ - 1} (\frac{4}{5}) \\ \\ \therefore \: \sin\theta = \frac{4}{5} \\ \\ \because \: { \cos}^{2} \theta =1 - { \sin}^{2} \theta \\ \\ \therefore \: { \cos}^{2} \theta = 1 - (\frac{4}{5} )^{2} \\ \\ = 1 - \frac{16}{25} \\ \\ = \frac{25 - 16}{25} \\ \\ = \frac{9}{25} \\ \\ \therefore \:{ \cos}\theta = \pm \: \frac{3}{5} \\ \\ \because \: \theta \: lie \: in \: the \: first \: quadrant \\ \\ \therefore \: { \cos}\theta = \: \frac{3}{5} \\ \\ \implies \theta = { \cos}^{ -1 } \: \frac{3}{5}\\\\\implies \theta = { \cos}^{ -1 } \: \frac{3}{5}= { \sin}^{ -1 } \: \frac{4}{5} \\ \\ \therefore \: \cos( \ {sin}^{ - 1} \frac{4}{5} ) \\ \\ = \cos( \ {cos}^{ - 1} \frac{3}{5} ) \\\\ = \frac{3}{5} \\ \\ \purple{ \boxed{\therefore \: \cos( \ {sin}^{ - 1} \frac{4}{5} ) = \frac{3}{5}}}$

8 0

3 years ago

Find the area of a triangle with a base of 9 feet and hypotenuse length of 13 feet

iris [78.8K]

Answer:

42.21 ft^2

Step-by-step explanation:

The formula: A=1 /2b √ c2﹣b2

c=hypotenuse

b=base

8 0

3 years ago

Jenna has at most $100 to spend on clothes. She wants to buy a pair of jeans for $29 and spend the rest on shirts. Each shirt co

maw [93]

Answer:

5 shirts (read explanation)

Step-by-step explanation:

14x+29=100

14x=71

x=5.1

She can buy 5 shirts

8 0

3 years ago

3/5x + 3 please help me out

Monica [59]

I’m sorry but there isn’t enough information here to answer anything. What does the equation equal?

5 0

3 years ago

Read 2 more answers

I need help pleaseee!!

EastWind [94]

Answer:

y=-3

Step-by-step explanation:

slope is 0 so we know it is a straight line.

your y value is -3 so therefor is your answer

7 0

3 years ago