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algol13
3 years ago
14

Priya has a piece of string 5/6 yard long. She cuts 3/5 of the piece of string for a craft. What is the length of the string lef

t?
Mathematics
2 answers:
Mama L [17]3 years ago
6 0

\frac{1}{15?}
Solnce55 [7]3 years ago
3 0

Total length of the string = \frac{5}{6} yard

Length of string used for craft = \frac{3}{5} of total length of string

= \frac{3}{5} of \frac{5}{6}

= \frac{3}{5} \times \frac{5}{6}

= \frac{3}{6} yard

Length of the string left after use = Total length of the string - Length of string used for craft

Length of the string left after use = \frac{5}{6}-\frac{3}{6}

=\frac{2}{6}

Reducing it to the lowest term, we get

=\frac{1}{3} yard

Therefore, the length of string left is \frac{1}{3} yard.

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Use trig to find the legs of ABC if the base is AC and the height is BC (round to nearest tenth)​
umka2103 [35]

Answer:

<u>GIVEN :-</u>

  • ∠A = 15°
  • Length of AB (hypotenuse) = 60 ft

<u>TO FIND :-</u>

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<u>FACTS TO KNOW BEFORE SOLVING :-</u>

  • \sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}
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<u>SOLUTION :-</u>

In ΔABC ,

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=> 0.2588... = \frac{BC}{60}

=> BC = (0.2588....) \times 60 = 15.5291..... ≈ 15.5 ft

  • \cos 15 = \frac{AC}{60}

=> 0.9659..... = \frac{AC}{60}

=> AC = (0.9659.....) \times 60 = 57.9555..... ≈ 58 ft

Area of ΔABC = \frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2

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