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3 years ago

Acellus Find the indicated side of the triangle. b 45° 28 a a = Enter

Mathematics

2 answers:

Crazy boy [7]3 years ago

5 0

Answer:

a = $\frac{28}{\sqrt{2} }$

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{28}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

a × $\sqrt{2}$ = 28 ( divide both sides by $\sqrt{2}$ )

a = $\frac{28}{\sqrt{2} }$

White raven [17]3 years ago

4 0

Answer:

a = 28 / √2

Step-by-step explanation:

Isosceles triangle therefor a = b

use pythagorean theorem

a² + a² = c²

2a² = 28²

a² = 28² / 2

Take the square root of both sides

a = 28 / √2

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Answer: We know that:

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3 years ago

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3 years ago

Simplify the following ratios:

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3 years ago

WHY IS THIS GETTING DELETED?? I NEED HELP

aliina [53]

If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:

$\dfrac{(5\times5)^k}{5^{-8}} = 5^3$

$\dfrac{5\times 5^k}{5^{-8}} = 5^3$

If the first one is what you intended, then

$\dfrac{(5\times5)^k}{5^{-8}} = \dfrac{(5^2)^k}{5^{-8}} = \dfrac{5^{2k}}{5^{-8}} = 5^{2k-(-8)} = 5^{2k+8} = 5^3$

and it follows that

2k + 8 = 3 ==> 2k = -5 ==> k = -5/2

If you meant the second one, then

$\dfrac{5\times 5^k}{5^{-8}} = \dfrac{5^1\times5^k}{5^{-8}} = \dfrac{5^{k+1}}{5^{-8}} = 5^{k+1-(-8)} = 5^{k+9} = 5^3$

which would give

k + 9 = 3 ==> k = -6

And for all I know, you might have meant some other alternative... When you can, you should include a picture of your problem.

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3 years ago

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White raven [17]

Answer:

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Step-by-step explanation:

add the amounts together and multiply by 0.075 and 0.15 add these answers to the original amount

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3 years ago