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Verdich [7]
2 years ago
5

In AJKL, solve for x.

Mathematics
1 answer:
solong [7]2 years ago
7 0

Answer:

x ≈ 66.73

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan27° = \frac{opposite}{adjacent} = \frac{KL}{JK} = \frac{34}{x} ( multiply both sides by x )

x × tan27° = 34 ( divide both sides by tan27° )

x = \frac{34}{tan27} ≈ 66.73 ( to 2 dec. places )

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How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?
Paraphin [41]
X = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
8 0
2 years ago
Can someone help me with theeseeeeeeee
Whitepunk [10]
Wait but that is a test don't you need to look at a book or something insteadt of waiting for the answers
8 0
3 years ago
Read 2 more answers
The seventh grade students are having an end-of-year party in the school
Ahat [919]

The complete statement is:

  • Determine the number of tables by dividing 754 by 6
  • If there is a remainder, the answer will need to be rounded.
  • There is a remainder, so 126 tables are needed.

<h3>How to determine the number of tables?</h3>

The given parameters are:

Students = 754

Student per table = 6

The number of tables is calculated as:

Table = Students / Student per table

This gives

Table = 754/6

Evaluate the quotient

Table = 125.7

Approximate

Table = 126

Hence, the complete statement is:

Determine the number of tables by dividing 754 by 6

If there is a remainder, the answer will need to be rounded.

There is a remainder, so 126 tables are needed.

Read more about quotient at:

brainly.com/question/629998

#SPJ1

6 0
1 year ago
Why is it that when comparing a squares area with a rectangles area, with the SAME PERIMETER, that the square has a greater area
julsineya [31]

Answer:

When finding for the area of a square ,the lenght will be squared automatically leading to a greater value which is greater that of the rectangle which is length multipled by Width

8 0
3 years ago
Express in simplest radical form.<br> V40
Andrews [41]

Answer:

\huge\boxed{2 \sqrt{10}}

Step-by-step explanation:

When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.

The factors of 40 are:

1, 2, 4, 5, 8, 10, 20, 40.

Out of these, we need to look for one that we can find the square root of.

We know that the square root of 4 is 2.

Therefore, we can make \sqrt{40} into \sqrt{4 \cdot 10}.

The square root of 4 is 2. Therefore, we can put that outside the radical.

2 \sqrt{10}.

Hope this helped!

7 0
2 years ago
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