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Bas_tet [7]
3 years ago
7

Given sin x=0.3 , what is cos x ?

Mathematics
2 answers:
blsea [12.9K]3 years ago
7 0
Cos x = sqrt( 100 - 9) / 10 
<span>= 0.9539392014</span><span>sin x = 0.3 = 3/10
</span>
shusha [124]3 years ago
7 0

Answer:  The value of \cos x is 0.95.

Step-by-step explanation:  Given that, for an angle x,

\sin x=0.3.

We are given to find the value of \cos x.

We will be using the following trigonometric identity:

\cos^2x+\sin^2x=1.

We have

\cos^2x+\sin^2x=1\\\\\Rightarrow \cos^2x=1-\sin^2x\\\\\Rightarrow \cos x=\sqrt{1-\sin^2x}\\\\\Rightarrow \cos x=\sqrt{1-(0.3)^2}\\\\\Rightarrow \cos x=\sqrt{1-0.09}\\\\\Rightarrow \cos x=\sqrt{0.91}\\\\\Rightarrow \cos x=0.95.

Thus, the value of \cos x is 0.95.

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What is the solution to to the equation x − 2/5 = −1?
ZanzabumX [31]

Answer:

  • x = -0.6

Step-by-step Solution:

<u>Isolate the variable x to get the answer.</u>

  • x − 2/5 = −1
  • => x = -1 + 2/5
  • => x = -1 + 0.4
  • => x = -0.6

Hence, the value of x is -0.6.

6 0
2 years ago
Read 2 more answers
Omials<br> GCF of 96x5 and 64x2?
Agata [3.3K]
32
the greatest common factor of 480 and 128 is 32
480 / 32 = 15
128 / 32 = 4
3 0
2 years ago
ACTIVITY
marin [14]

Answer:

4 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:

(Total wide of the wall - wide of the painting) / 2 = X

(12 - 4) / 2 = X

8/2 = X

4 = X

Therefore, 4 feet of wall should be on each side of the painting.

7 0
3 years ago
A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is
seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

<u><em>Step(i)</em></u>:-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

test statistic

Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

<em>They score is below 24 on the math portion of the​ exam</em>

6 0
2 years ago
_____ hg = 45 grams<br> Please help me out
likoan [24]

Answer:

0.45hg

Step-by-step explanation:

Just move the decimal place two places to the left when converting something to hectograms, for example 1045 grams is 10.45 hectograms just move the decimal place twice to the left for this conversion.

5 0
2 years ago
Read 2 more answers
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