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3 years ago

Identify sin A as a fraction and as a decimal rounded to the nearest hundredth. HELP PLEASE!! I don't understand.

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

Answer:

sin A = opp / hyp = 0.82

Step-by-step explanation:

The sine function is defined as the ratio of "opposite side" to "hypotenuse."

In the given triangle, sin A = opp / hyp = 10.3 / 12.6 = 0.82 (to the nearest hundredth). That's all you have to do here.

The cosine function is the ratio of "adjacent side" to "hyp." In the given triangle, the side adjacent to angle A has length 7 .2. Thus,

cos A = adj / hyp = 7.2 / 12.6 = 0.57 (to the nearest hundredth).

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Ipatiy [6.2K]

This is a typical mixture problem where using a table is the best thing.
pints juice % juice = total % juice
juice A x .70 = .70x
juice B 60-x .95 = .95(60-x)
total 60 .75 = 60(.75)

The last row gives you a total that you need to use, so do that multiplication to get 45. You now to need to add the last columns together for rows 1 and 2 and set them equal to 45: .7x +.95(60-x) = 45. When you do that math, you'll get that x = 48. This means that you need 48 pints of juice A and 60-48 pints of juice B, which is 12 pints.

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3 years ago

A seed company planted a floral mosaic of a national flag. The perimeter of flag is 2,340 ft determine the flag’s width and leng

Natali5045456 [20]

Answer:

Width: 450 feet

Length: 720 feet

Step-by-step explanation:

So we start with the equation to find the perimeter -

2l + 2w = p

l = length

w = width

p = perimeter

We insert the 2,340 ft as the perimeter -

2l + 2w = 2,340 ft

Now we find another equation for the "length is 270 ft greater than width" -

l = 270 ft + w

Using substitution, we substitute the y in the first equation with 270 ft + w -

2 (270 ft + w) + 2w = 2,340 ft

540 ft + 2w + 2w = 2,340 ft

540 ft + 4w = 2,340 ft

4w = 2,340 ft - 540 ft

4w = 1,800 ft

w = 1,800 ft / 4

w = 450 ft

Now to find the width we substitute the w with 450 ft -

l = 270 ft + w

l = 270 ft + 450 ft

l = 720 ft

Check -

2 * 720 ft + 2 * 450 ft = 2,340 ft

1,440 ft + 900 ft = 2,340 ft

2,340 ft = 2,340 ft (Correct)

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Answer:

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3 years ago

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djyliett [7]

The answer is;

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3 years ago

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