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elena-s [515]
3 years ago
15

What is the radian value of arccos(-3/sqrt(2))?

Mathematics
1 answer:
Ksju [112]3 years ago
3 0

Answer:

Not defined over the real numbers

Step-by-step explanation:

Let

x = arc \cos( \frac{ - 3}{ \sqrt{2} })

This implies that:

\cos(x)  =  \frac{ - 3}{ \sqrt{2} }

This implies that:

\cos(x) =  - 2.12

The range of the cosine function is -1≤y≤1

Therefore

arc \cos( \frac{ - 3}{ \sqrt{2} })

is not defined for over the real numbers.

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In a recent​ poll, 44​% of survey respondents said​ that, if they only had one​ child, they would prefer the child to be a boy.
viva [34]

Answer:

a) The probability that 71 of 150 will prefer boy child is 71/150 or 0.47

b) The result contradicts the poll actual percentage is 47.33% which is 3.33% more than the poll predicted

Step-by-step explanation:

If 71 out of 150 prefer boy child

The probability that the 71 will prefer boy child is

= 71/150

The actual percentage is

(71/150)*100%

= 47.33%

This contradicts the poll as this is more than the poll predicted. That means Less than 71 of 150 actually preferred boy child.

5 0
3 years ago
The roots of the equation 2x² – 5 = 0 are
Vikentia [17]

Answer:

4

Step-by-step explanation:

x = root under 5/2

so it is real and irrational number

5 0
3 years ago
Solve ( x - 2)( x + 7) =0
lara31 [8.8K]

Answer:

x = 2 or

x = -7

Step-by-step explanation:

(x - 2)(x + 7) = 0

x - 2 = 0

Add 2 to both sides

x - 2 + 2 = 2 + 0

x = 2

OR

x + 7 = 0

Subtract 7 from both sides

x + 7 - 7 = 0-7

x = -7

Therefore

x = 2 or

x = -7

6 0
3 years ago
Can someone see if i did this correct? If not pls explain
Taya2010 [7]

Answer:

Not right.

Step-by-step explanation:

m <HGJ + m <KGJ =180°

So, m <HGJ = 180° - m <KGJ = 180° - 86° =94°

8 0
2 years ago
Please help me with this please and thank you
melamori03 [73]

Answer:

B

Step-by-step explanation:

let X represent the smaller paintings and Y represent the larger paintings

since she bought 8 paintings

X+Y=8

She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40

25×X+40×Y=230

25X+40Y=230

7 0
2 years ago
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