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Charra [1.4K]
3 years ago
5

Two trees have a bird on top of each. Distance between birdwatcher and first bird is 37 point 4 feet. Distance between each bird

is 17 point 8 feet. Angle of depression between birdwatcher and first bird is unknown. a. 25.5° b. 64.5° c. 28.4° d. 61.6°
Mathematics
1 answer:
Butoxors [25]3 years ago
6 0

Answer:

64.5A

Step-by-step explanation:


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Of 560 marbles in a bag, 65% are red and the rest are blue. After 28 red marbles are replaced with blue ones, how many blue marb
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Answer:  The answer is 400  blue marbles.


Step-by-step explanation: Given that there are 560 marbles in a bag, out of which 65% are red and rest are blue.

So, number of red marbles is

n_r=65\%\times 560=\dfrac{65}{100}\times 560=364,

and number of blue marbles is

n_b=560-364=196.

Now, if 28 red marbles are replaced by blue marbles, the the new number of red and blue marbles will be

n_r^\prime=364-28=336~~~\textup{and}~~~n_b^\prime=196+28=224.

Now, to get 65% of the marbles blue, we need to add some more blue marbles to the bag. Let 'x' number of blue marbles are added to the bag, then

65\%\times (560+x)=224+x\\\\\Rightarrow \dfrac{65}{100}\times (560+x)=224+x\\\\\Rightarrow 13(560+x)=20(224+x)\\\\\Rightarrow 7280+13x=4480+20x\\\\\Rightarrow 7x=2800\\\\\Rightarrow x=400.

Thus, 400 blue marbles need to be added to the bag.


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