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Julli [10]
3 years ago
5

Mrs. Yuri’s classroom has 21 students. She took all of her students to a field trip at the skate station and brought four chaper

ones. The students, chaperones and Mrs. Yurirented either regular skates for $4.25 or inline skates for $7.50 per day. Mrs. Yuri paid a total of $143.00 for skates’ rental.
Mathematics
2 answers:
worty [1.4K]3 years ago
5 0
21+1=22
Chaperones:supervises so won't be participating
143 divided by 22 equals 6.5
Answer:6.5
Are u sure u didn't misspelled 6.5 into 7.5?
hram777 [196]3 years ago
4 0
Setup a system of equations.

r + I = 26
4.25r + 7.50i = 143.00
r = 26-i
Plug r = 26-i into 2nd equation and solve

4.25(26-i) + 7.50i = 143.00
110.50 - 4.25i + 7.50i = 143.00
110.50 + 3.25i = 143.00
Subtract 110.50 from both sides
3.25i = 32.50
Divide both sides by 3.25
I = 10
10 pairs of inline skates
26-10= 16
16 pairs of regular skates
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\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}

So,\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70

K ≈ 34°

So, Option B is true

Hence The approximate measure of angle K is 34°

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3 years ago
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All of these can be expressed in the form of sinФ and cosФ as following:

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