Rewrite \sqrt((1+cos45)/(2)) using a half-angle identity

1 answer:

7 0

$\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)$

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Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

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Answer:

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?

The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles.

The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

Step-by-step explanation:

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2 years ago

The three angle bisectors of ΔABC intersect at point P. Point P is the

lisabon 2012 [21]

<h3>Answer: C) incenter</h3>

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Explanation:

If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.

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extra notes:

* The centroid is found by intersecting at least two median lines

* The circumcenter is found by intersecting at least two perpendicular bisector lines

* The orthocenter is found by intersecting at least two altitude lines

* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.

* The red lines cut each angle of the triangle into two equal or congruent pieces.

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3 years ago

Estimate numbers 1-4 from the tens place value.<br> 1. 89<br> 2. 64<br> 3. 985<br> 4. 467

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$\huge\text{Hey there!}$

$\huge\text{We are not sure what you want us to}\\\huge\text{round to so I will...}\huge\boxed{\downarrow}\\\\\\\huge\boxed{\mathsf{original \ number\rightarrow tens\rightarrow hundreds/thousands}}$

$\huge\boxed{1.) \ \mathsf{89} \rightarrow \bold{90}\rightarrow\bf 100}}\\\huge\boxed{2.) \mathsf{\ 64\rightarrow \bold{6} \rightarrow \bf 100}}\\\huge\boxed{3.) \mathsf{ \ 985 \rightarrow \bold{990}\rightarrow \bf 1,000}}\\\huge\boxed{4.)\mathsf{\ 467\rightarrow\bold{470}\rightarrow \bf 500}}}$