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RUDIKE [14]
3 years ago
10

To the nearest hundredth, what is the value of x?

Mathematics
1 answer:
Anna [14]3 years ago
3 0

Answer:

1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:

sin53° = x/45 => x = sin53° · 45 ≈35.94

2. We already have one out of two legs of the triangle and one acute angle so we know that:

tan27° = 48/x => x = 48/tan27° ≈ 94.21

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The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc
11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

l: the number of large cars.

s: the number of small cars.

Then, you can set up the following system of equations:

\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5

l≈56

Substitute l=56 into one of the original equations and solve for <em>s:</em>

<em> </em>56+s=142\\s=142-56\\s=86

3 0
2 years ago
A Pitcher of fruit punch holds 2 gallons , If 9 people share the entire pitcher equally how much punch does ecah person get
GuDViN [60]
You would do 2 divided by 9 to get that each person would have 2/9 of a gallon or .22 of a gallon. I hope this helps.
5 0
2 years ago
Two sides of a triangle measure 14 inches and 8 inches. which cannot be the length of the remaining side?
horrorfan [7]
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.

2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)

3. So let a denote the remaining side, then   6 < a < 22, which means a can be any number in between 6 and 22 inches.
3 0
2 years ago
What is y = -3x in standard form?
worty [1.4K]
For Ax+By=C, we have y=-3x. We want both the y and x variable on the same side, and that leads us to either subtract y from both sides or add 3x to both sides. You can do either, but I personally prefer the latter, so we have 3x+y=0. We have A=3 (since that is the coefficient for x) and B=1 (since 1*y=y). Lastly, C=0

Feel free to ask further questions!
4 0
3 years ago
If you have 3 cups of pineapple juice, how many total cups of punch can you make? (Punch Recipe:: Ginger Ale:40% | Orange Juice:
liraira [26]
You can make 5 total cups of juices 
6 0
3 years ago
Read 2 more answers
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