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3 years ago

HELP!!! 15 points. picture below

Mathematics

2 answers:

vlada-n [284]3 years ago

7 0

Step-by-step explanation:

$\sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3}$

Vaselesa [24]3 years ago

3 0

Answer:

cos theta =± 2/3

Step-by-step explanation:

sin theta = sqrt(5) /3

sin theta = opp side / hypotenuse

We know that

a^2 + b^2 = c^2 from the pythagorean theorem

opposite side ^2 + adjacent side ^2 = hypotenuse ^2

( sqrt(5)) ^2 + adjacent side ^2 = 3^2

5 + adjacent side ^2 = 9

Subtract 5 from each side

5-5 + adjacent side ^2 = 9-5

adjacent side ^2 = 4

Taking the square root of each side

adjacent side = ±2

We know that

cos theta = adj side / hyp

cos theta =± 2/3

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Bill's recipe for onion soup call for 4.0lb of thinly sliced onions. If an onion has an average mass of 115g, how many onions do

musickatia [10]

Answer:

1. $16\ onions$

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Step-by-step explanation:

1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.

Then, since $1\ lb=453.592\ g$ , we can make the following conversion:

$(4.0\ lb)(\frac{453.592\ g}{1\ lb})=1,814.37\ g$

Then, the number of onions Bill needs is:

$(1,814.37\ g)(\frac{1\ onion}{115\ g})=15.77\ onions$ ≈ $16\ onions$

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$(11\ lb)(\frac{1\ kg}{2.20462\ lb})=4.98\ kg$

Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought:

$(\$1,420)(\frac{4.98\ kg}{\$1.75})=4,040.91\ kg$

6 0

2 years ago

Can someone help me with this,'<br><br><br> PLEASE?!?!

Citrus2011 [14]

I think that the number of times you drink all the water in your bottle is independent, because the number of liters you drink depends on how much there is.

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3 years ago

What is the absolute value of -5/8?

Gemiola [76]

well, -5/8 is -0.625.

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and abs value of -5/8 is 5/8

7 0

3 years ago

Read 2 more answers

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Llana [10]

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3 years ago

I can’t tell if 3 is a dilation or not!

S_A_V [24]

Answer:

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Step-by-step explanation:

The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.

3 0

2 years ago