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makkiz [27]
3 years ago
7

Please help. Solve the triangle. Round ans to the nearest tenth.

Mathematics
1 answer:
White raven [17]3 years ago
4 0

9514 1404 393

Answer:

  • C = 21°
  • a = 13.3
  • c = 5.4

Step-by-step explanation:

The third angle can be found from the sum of angles in a triangle.

  A + B + C = 180°

  C = 180° -62° -97°

  C = 21°

__

The remaining side lengths can be found using the Law of Sines.

  a/sin(A) = b/sin(B)

  a = sin(62°)(15/sin(97°)) ≈ 13.34

Similarly, ...

  c/sin(C) = b/sin(B)

  c = sin(21°)(15/sin(97°)) ≈ 5.42

The remaining side lengths are approximately ...

  a ≈ 13.3

  c ≈ 5.4

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Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour. Gary's grocery Store has 285 pounds of fruit and sel
enot [183]

Answer:

72.1 hours

Step-by-step explanation:

Let the number of hours be represented as: x

Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.

Convert 2 7/8 pounds to decimal = 2.875pounds

Hence:

252 - 2.875x

Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.

Convert 3 1/3 pounds to decimal = 3.333 pounds

Hence:

285 - 3.333x

How many hours until they have the same amount of fruit left?

This calculated by equating both equation together

252 - 2.875x = 285 - 3.333x

Collect like terms

-2.875x + 3.333x = 285 - 252

0.458x = 33

x = 33 / 0.458

x = 72.052401747 hours

x ≈ 72.1 hours

They would have the same amount of fruit left after 72.1 hours

6 0
3 years ago
A carpenter uses 65 shelves to make 13 bookcases.She uses the same number of shelves for each bookcase are 32 shelves enough to
bezimeni [28]
65/13=5
6x5=30, so she has enough to build 6 more shelves with 2 left over
7 0
4 years ago
A car bought for $13,000 depreciates at a rate of 15% per year. Use an exponential function to find the value of the car after 5
anygoal [31]

<em>Answer:</em>

<em>$ 11093 </em>

<em>Explanation:</em><em> </em>

<em>Recall that the formula for compound interest is: </em>

<em> </em><em>A = P ( 1 + r/ n ) n ( t )</em><em>  </em>

<em>−−−−−−−−−−−−−−−−−−−−−−  </em>

<em> where: </em>

<em>A </em><em> =  future value </em>

<em>P</em><em>  =  principal (starting) amount </em>

<em>r</em><em>  =  annual interest rate, expressed as a decimal </em>

<em>n</em><em>  =  number of times the interest is compounded in a year </em>

<em>t</em><em>  =  number of years compound interest occurs for </em>

<em> </em>

<em>1 .</em><em> Start by substituting your known values into the formula. Note that the annual interest rate is  − 0.15  since the car depreciates (becomes lower in value) each year. </em>

<em> </em>

<em>A = 25000 ( 1 + − 0.15 1 ) 1 ( 5 )</em><em>  </em>

<em />

<em>2 .</em><em> Solve for  A . </em>

<em> </em>

<em>A = 25000 ( 0.85 ) )5 </em>

<em> A = 11092.63</em><em> </em>

<em> ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ </em>

<em>A ≈ $ 11093 a    </em>

<em>−−−−−−−−−−−−−−−</em>

3 0
3 years ago
Read 2 more answers
30 children are going on a trip. It costs £5 including lunch. Some children take their own packed lunch. They pay only £3.the 30
myrzilka [38]
110 = 5x + 3y     (yet x + y = 30)
Therefore the only explanation would 10 kids bought lunch and 20 packed because....
10 + 20 = 30       AND     5 * 10 = 50     3 * 20 = 60       60 + 50 = 110
7 0
3 years ago
Three baskets contain three consecutive odd numbers of apples. There are 105 apples in total. How many apples are in each basket
galben [10]
There are 35 apples in each basket. 105/3 is 35. i got 3 by the three baskets, and 35 is a odd number which also adds up to 105.
8 0
3 years ago
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