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3 years ago

Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32/23 hours during the summer.

Mathematics

1 answer:

butalik [34]3 years ago

3 0

Let us assume that the number of days she practiced the piano to be "d"

Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d

Now we are given the total number of hours during summer that she practiced be be equal to 32/23

So we equate 2/3 * d to 32/23 to find d

2/3*d = 32/23

d = (32/23)/ (2/3)

d = (32/23) * (3/2)

d = 48/23 hours

The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23

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Given:

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$m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ}$ (angles KNL and KLN are complementary).

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$\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08$

and

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