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lys-0071 [83]
2 years ago
6

Using the figure, find x and y

Mathematics
1 answer:
kakasveta [241]2 years ago
7 0

Answer:

  • x = 8
  • y = 2√3

Step-by-step explanation:

The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...

  1 : √3 : 2

Side x is thus twice the length of short side 4, so x = 8.

Side y is √3 times the length of short side x-6 = 2, so y = 2√3.

_____

If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.

  x = √(4² +(4√3)²) = √64 = 8

  y = √(4² -2²) = √12 = 2√3

You might be interested in
Select all of the correct solutions for the following equation
zhuklara [117]

Answer: a,b, and c are the correct solutions

Step-by-step explanation:

You are substituting each (x,y) for the equation given. They must equal the same on both sides.

5 0
2 years ago
Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean
Lyrx [107]

Answer:

She needs a grade of 71 on her next text.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

Tammy has scored 82, 78, and 93 on her previous three tests.

Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.

There are 4 tests.

What score does she need on her next test so that her average (mean) is 81?

We have to find x when the mean is 81. So

\frac{82 + 78 + 93 + x}{4} = 81

253 + x = 324

x = 324 - 253

x = 71

She needs a grade of 71 on her next text.

5 0
3 years ago
Can anyone help with this question?.. thanks in advance!!
agasfer [191]
Hell naw, nobody is about to do that for you
5 0
3 years ago
What does "mean" mean in math terms
Vaselesa [24]
Answer: In math a mean is the simple mathematical average of a set of two or more numbers.

5 0
2 years ago
How do I solve this problem correctly?
Anna71 [15]

Answer:

7%

11%

5%

14%

Step-by-step explanation:

To find a numbers percentage of another number you simply divide the smaller number by the bigger number then move the decimal point to the right 2 places.

Percentage of workers who prefer chicken soup who are part-time: 35÷500 = 0.07 move the decimal 2 to the right to get 7%.

Percentage of full-time workers who prefer mushroom soup: 55÷500 = 0.11 move the decimal 2 to the right to get 11%.

Percentage of workers who prefer lintel soup who are full-time: 25÷500 = 0.05 move the decimal 2 to the right to get 5%.

Percentage of part-time workers who prefer tomato soup: 70÷500 = 0.14 move the decimal 2 to the right to get 14%.

Hope this helps! :)

5 0
2 years ago
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