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2 years ago

Help really fast round 93.0129 to the nearest thousandth

Mathematics

2 answers:

Eduardwww [97]2 years ago

8 0

Answer:

93.013 is the answer.

-Seth

Have a great day!

maksim [4K]2 years ago

3 0

The thousandth place is the 3rd digit after the decimal.

So your answer is 93.013

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Round 30.410 to nearest hundreth

Oksana_A [137]

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2 years ago

Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will

slavikrds [6]

Answer:

$\text{tan}(\theta)=\frac{\sqrt{119}}{5}$

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity $\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$ . She is told that $0\leq \theta\leq \frac{\pi}{2}$ and $\text{cos}(\theta)=\frac{5}{12}$ .

First of all, we will find value of sine theta using the given identity.

$\text{sin}^2(\theta)+\text{cos}^2(\theta)=1$

$\text{sin}^2(\theta)+(\frac{5}{12})^2=1$

$\text{sin}^2(\theta)+\frac{25}{144}=1$

$\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}$

$\text{sin}^2(\theta)=\frac{144-25}{144}$

$\text{sin}^2(\theta)=\frac{119}{144}$

$\text{sin}(\theta)=\sqrt{\frac{119}{144}}$

$\text{sin}(\theta)=\frac{\sqrt{119}}{12}$

$\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}$

$\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}$

$\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}$

Therefore, $\text{tan}(\theta)=\frac{\sqrt{119}}{5}$ .

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2 years ago

I need to know this help

antoniya [11.8K]

Answer:

The slope is 2/3 and the y intercept is 5/9

Step-by-step explanation:

This is written in the form

y= mx+b where m is the slope and b is the y intercept

y = 2/3x +5/9

m = 2/3 and b=5/9

The slope is 2/3 and the y intercept is 5/9

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3 years ago