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ankoles [38]
3 years ago
14

An animal shelter spends three dollars per day to take care for each bird and seven dollars per day take care for each cat Alexa

ndra noticed that the shelter spent $174 caring for birds and cats on Wednesday Alexandra found a record showing that they were a total of 34 birds and cats on Wednesday how many birds were at the shelter on Wednesday
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

There were 16 birds  at the shelter on Wednesday.

Step-by-step explanation:

Number of cats and birds on Wednesday = 34

let the number of birds on Wednesday = b

Then number of cats = (34 -b)

The rate of taking care of each bird in shelter = $3

The rate of taking care of each cat in shelter = $7

Total amount spent by shelter on Wednesday = $174

So, according to the question

b x ($3)  +  (34 -b) ($7) =  $ 174

or,  3b + 238 - 7b = 174

or, 4b = 64

⇒ b = 64/4 = 16

Hence, the number of birds in shelter on Wednesday = b = 16

and  Number of cats = 34 - 16 = 18

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Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o
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Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is  x = 274 \ unites

Step-by-step explanation:

From the question we are told that

       The length of the vertical length is  x

      The length of the base leg is L = 330 + d units

      The length of the bisecting line segment is h

       The base angle is \theta  = 28^o

       The angle between d and line segment is  \theta_1 =  56^o

For the first angle

         Tan \theta_1 =  \frac{x}{d}

=>     d =  \frac{x}{Tan \theta _1}

 For the whole big triangle

      Tan \theta = \frac{x}{330 + d}

=>     d = \frac{x}{Tan \theta }  -330

So equating the both d

        \frac{x}{Tan \theta _1} =    \frac{x}{Tan \theta }  -330

Substitute values

        \frac{x}{Tan (56)} =    \frac{x}{Tan (28) }  -330

      0.6745 x =    1.880x  -330

       1.20549 x = 330

       x = 274 \ unites

     

   

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