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iragen [17]
3 years ago
9

Sin(-120) in exact value

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Step-by-step explanation:

\because \: sin \: ( -  \theta) =  - sin \:  \theta \\  \\  \therefore \: sin \: ( - 120 \degree) =  -  sin \:  120 \degree \\  \\  =  - sin \:  ( 180\degree- 60 \degree)  \\  \\  = - sin \: 60 \degree \\  \\  =  -    \frac{ \sqrt{3} }{2}  \\  \\   \purple{ \boxed{\therefore \: sin \: ( - 120 \degree) =-    \frac{ \sqrt{3} }{2} }}

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Help me fast!!!!!!!I need to finish this by next period
klio [65]

Answer:

-2/3

Step-by-step explanation:

Rise over run!  The slope rises twice and goes over 3 times.  The slope is negative so put a negative sign behind it.

3 0
2 years ago
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Sandy is working with a carpenter to frame a house. They are using 8 foot long boards but each board must be cut to be 7 feet, 1
quester [9]
The answer is 5/4 in

The initial length:
1 ft = 12 in
8 ft = 8 * 12 in
      = 96 in

The final length:
7 ft 10 3/4 in = 7 ft + 10 in + 3/4 in
                     = 7 * 12 in + 10 in + 3/4 in
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The cut if the initial length - final length:
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7 0
3 years ago
Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus U
kow [346]

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

H_1:P>0.6

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ n \times p\times (1-P)

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion \hat P = \dfrac{x}{n}

= \dfrac{135}{200}

= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

7 0
3 years ago
Edith plants a daffodil bulb.
WINSTONCH [101]

Answer:

Step-by-step explanation:

Njhhh

5 0
2 years ago
4 + 6^2 + 9 ∙ 3 - 10
Korvikt [17]
4+6^2+9•3-10

PEMDAS
P=parentheses
E=exponent
m=multiplication
d=division
a=addition
s=subtraction

*no parentheses in this equation
*exponent = 6^2
6^2=36
4+36+9•3-10
*multiplication = 9•3
9•3=27
4+36+27-10
*addition=4+36+27
4+36+27=67
67-10
*subtraction=67-10
67=10=57

ANSWER=57







please give brainliest itd mean a lot<3
3 0
2 years ago
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