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Setler [38]
2 years ago
12

Find the exact value of sin 30° in simplest form with a rational denominator.

Mathematics
1 answer:
viktelen [127]2 years ago
8 0
3.000 is the answer to the questions
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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Debora [2.8K]

Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

l = 2w + 4

The perimeter is 96 feet:

p = 96

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96

So we know our answer's correct

8 0
2 years ago
A truck rental is $25 plus $ 0.40/mi find out how many miles ken traveled if his bill is $59.40
Zanzabum

Answer:

Step-by-step explanation:

C = 59.4

Fixed Cost (F) = 25

C = 25 + 0.4*x                    Solve for x

59.40 = 25 + 0.4x              Subtract 25

34.4  = 0.4x                        Divide by .4

34.4/0.4 = x

x = 86 miles

4 0
2 years ago
Read 2 more answers
Please helppp i will mark brainlistt!!!!!!
Citrus2011 [14]

Answer:

26 square meters ♡♡♡♡♡♡♡♡♤◇◇♤£¥

6 0
2 years ago
Suppose that a chemist is mixing two acid​ solutions, one of 20​% concentration and the other of 30​% concentration. Which of th
Pani-rosa [81]

Answer:

4. 34%

Step-by-step explanation:

By mixing 20% and 30%, it will be between 20 and 30, like 22, 24 or 28. You would need a higher concentration than 30 to mix in to get 34%.

5 0
3 years ago
Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensio
andrew-mc [135]
I think the answer is D)
4 0
3 years ago
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