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3 years ago

What is sec 0 when tan 0 = V3? Đ. (1, 0) sec 0 = [?]

Mathematics

1 answer:

adoni [48]3 years ago

6 0

Answer:

secθ = - 2

Step-by-step explanation:

Using the identity

sec²θ = 1 + tan²θ

= 1 + ( $\sqrt{3}$ )² = 1 + 3 = 4 ( take the square root of both sides )

secθ = ± $\sqrt{4}$ = ± 2

Since secθ < 0 in the third quadrant , then

secθ = - 2

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Solve: 8+ x/2 = 1/4(x-4)-1

dangina [55]

Answer:

D the answer is -40

Step-by-step explanation:

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2 years ago

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lesya692 [45]

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

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3 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are

Nastasia [14]

Answer:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.36$ estimated proportion with the survey

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:

Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

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3 years ago

Read 2 more answers

Select all the pairs of equivalent expressions.

iren2701 [21]

Answer:

$\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}$

Step-by-step explanation:

$a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================$

$(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================$

$6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================$

$4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3$

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4 years ago

Solve for x. 2^6x+7=(1/8)^1-5x

wel

as a fraction the answer is

x=(10/9)

as a mixed number

x=1(1/9)

as a decimal

x=1.1

I wasn't sure which form you were looking for I I gave you them all

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3 years ago

What is sec 0 when tan 0 = V3? Đ. (1, 0) sec 0 = [?]​

What is sec 0 when tan 0 = V3? Đ. (1, 0) sec 0 = [?]