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galben [10]
3 years ago
12

Secθ =__________________ 1/sinθ +-√cos^2 +1 +-√tan^2 +1

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0

Answer:

The answer is last option

As we know 1 + tan^2 = sec^2

denis-greek [22]3 years ago
5 0

Answer:

secФ = ±\sqrt{1+tan^{2} }

Step-by-step explanation:

We can use the identity sec²Ф = 1 + tan²Ф to solve for secФ

  • First we need to take the square root of both sides to get: \sqrt{sec^{2} } =\sqrt{1+tan^{2} } which then simplifies to
  • secФ = ±\sqrt{1+tan^{2} }
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Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent.
coldgirl [10]

Answer:

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Step-by-step explanation: //

6 0
3 years ago
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An article reported on the results of an experiment in which half of the individuals in a group of 60 postmenopausal overweight
slavikrds [6]

Answer:

Step-by-step explanation:

From the given information:

Let's first compute the null and alternative hypothesis

Null hypothesis:

\mathbf{H_o: \mu_1-\mu_2=1}

Alternative hypothesis:

H_a :\mu_1 -\mu_2 > 1

The number of samples is half in a group of 60

i.e

n_1=n_2 = 30

the sample mean for sample 1 \overline x_1 = 5.7

the standard deviation for sample 1 s_1 = 3.1

the sample mean for sample 2 \overline x_2 = 3.9

the standard  deviation for sample 2 s_2 = 2.7

degree of freedom  for this test can be computed by using the formula:

df = \dfrac{\begin {pmatrix} \dfrac{s_1^2}{n_1} + \dfrac{s^2_2}{n_2}   \end {pmatrix}^2  }  {\dfrac{ (\dfrac{s_1^2}{n_1}^2)}{ n_1-1}  + \dfrac{ (\dfrac{s_2^2}{n_2}^2)}{ n_2-1}  }

df = \dfrac{\begin {pmatrix} \dfrac{3.1^2}{30} + \dfrac{2.7^2}{30}   \end {pmatrix}^2  }  {\dfrac{ \begin {pmatrix} \dfrac{3.1^2}{30} \end {pmatrix}^2}{ 30-1}  + \dfrac{ \begin {pmatrix} \dfrac{2.7^2}{30} \end {pmatrix}^2}{ 30-1}  }}

df = 114.68

The test statistics can be computed as follows:

t = \dfrac{ \overline x_1 -\overline x_2- (\mu_1 -\mu_2)}{\sqrt{ \dfrac{s_1^2}{n_1} +\dfrac{s_2^2}{n_2} }}

t = \dfrac{ 5.7-3.9- (1)}{\sqrt{ \dfrac{3.1^2}{30} +\dfrac{2.7^2}{30} }}

t = 1.07

Using the level of significance of 0.1, the P-value for the test statistics at the df of 114.68 is:

P-value = 0.143

Decision rule: To reject the null hypothesis if the level of significance is greater than the p-value.

Conclusion: We fail to reject the null hypothesis because the p-value is greater than the level of significance at 0.1.

Thus, it appears that the true average weight loss for the vegan diet does not exceeds that for the control diet by more than 1 kg.

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3 years ago
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tankabanditka [31]

The given expressions are :

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2 years ago
Merritt is driving to mount Shasta. On her map, she is a distance of 7.75 inches away. The scale on the map is .5 inch = 50 Mile
amm1812
193.75 miles cause 7.75 * .5 = 3.875 and 3.875* 50 = 193.75
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Oduvanchick [21]

Answer:

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total is 6.372

4 0
3 years ago
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