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Aleksandr-060686 [28]
3 years ago
13

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics
1 answer:
Allisa [31]3 years ago
3 0

Answer:

A. a = √2

b = √2

Step-by-step explanation:

Apply trigonometric function to find a and b:

Reference angle = 45°

Hypotenuse = 2

Opposite side = a

Adjacent side = b

✔️Apply SOH to find a, which is:

Sin 45 = Opp/Hyp

Sin 45 = a/2

2*Sin 45 = a

2*1/√2 = a (sin 45 = 1√2)

2/√2 = a

Rationalize

(2*√2)/(√2*√2) = a

2√2/2 = a

√2 = a

a = √2

✔️Apply CAH to find b, which is:

Cos 45 = Adjacent/Hypotenuse

Cos 45 = b/2

2*Cos 45 = b

2*1/√2 = b (Cos 45 = 1√2)

2/√2 = b

Rationalize

2√2/2 = b

√2 = b

b = √2

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3 years ago
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A researcher selects two samples of equal size and computes a mean difference of 1.0 between the two sample means. If the pooled
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Answer:

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

Step-by-step explanation:

Previous concepts

Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.

Solution to the problem

The Cohen's D is given by this formula:

D = \frac{\bar X_A -\bar X_B}{s_p}

Where s_p represent the deviation pooled and we know from the problem that:

s^2_p = 4 represent the pooled variance

So then the pooled deviation would be:

s_p = \sqrt{4}= 2

And the difference of the two samples is \bar X_a -\bar X_b = 1, and replacing we got:

D = \frac{1}{2}= 0.5

And since the value for D obtained is 0.5 we can consider this as a medium effect.  

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3 years ago
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Step-by-step explanation:

From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:

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2 years ago
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Answer:

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Step-by-step explanation:

To simplify these expressions we need to use the distributive property:

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So simplifying each expression, we have:

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