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Vsevolod [243]
3 years ago
9

You receive a gift card for an

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0
Answer: $20

Explanation: If you have $17.70 after 2 games and $14.25 after 5, you do 17.70-14.25; which equals $3.45 so in 3 games you spend $3.45 now divide that by 3 to determine the unit value; which equals $1.15, so you spend $1.15 on every game now times that by 2 which is $2.30 and add that to $17.70 to see the original amount of money on the card which was $20
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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Nutka1998 [239]

​

<u><em>28.1 feet</em></u>

<u><em></em></u>

<em><u>explaination</u></em>

<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>

<u><em>cosU= </em></u>

<u><em>hypotenuse</em></u>

<u><em>adjacent</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>\cos 70=\frac{9.6}{x}</em></u>

<u><em>cos70= </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>x\cos 70=9.6</em></u>

<u><em>xcos70=9.6</em></u>

<u><em>Cross multiply.</em></u>

<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>

<u><em>cos70</em></u>

<u><em>xcos70</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>Divide each side by cos 70.</em></u>

<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>

<u><em>x= </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> =28.0685≈28.1 feet</em></u>

<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>

8 0
2 years ago
Mr.price flew 4,908 from New York then he flew 3525 miles from Hawaii to Texas how much farther was mr.price trip from New York
alexandr1967 [171]
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4 0
3 years ago
Find the GCF of 12 and 30 by listing their factors.
zhenek [66]

Answer:

GCF is 6

Step-by-step explanation:

factors are 1,2,3,6

3 0
3 years ago
What is 23,556 to the nearest ten thousand
maxonik [38]
The nearest to the ten thousand is 20,000.
5 0
3 years ago
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Does anyone know the square root of 10,221? My online teacher wants me to figure it out. :)
faust18 [17]

the square root is 101.

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