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katrin2010 [14]
3 years ago
14

A right triangle is shown with an angle that measures 60 degrees. The leg adjacent to the 60 degree angle is labeled 5. The leg

opposite of the 60 degree angle is labeled x. The hypotenuse is labeled 10. Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

x = 5 \sqrt{3}

Step-by-step explanation:

Please see the attached pictures for the full solution.

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A mistake was made in mixing the lemonade—<br> PLEASE HELP!!
beks73 [17]

Answer:

Part A:

4 + x = y

0.5*4 + 1*x = 0.7*y

x = 8/3\ quarts\ of\ 100\%\ solution

y = 20/3\ quarts\ of\ 70\%\ solution

Part B:

x + y = 10

2x + 3y = 23

x = 7 and y = 3

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

4 + x = y

0.5*4 + 1*x = 0.7*y

Using the value of y from the first equation in the second one, we have:

2 + x = 0.7*(4 + x)

2 + x = 2.8 + 0.7x

0.3x = 0.8

x = 8/3\ quarts

y = 4 + 8/3 = 20/3\ quarts

Part B:

If he shoots a total of ten targets, we can write the equation:

x + y = 10

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

2x + 3y = 23

If we subtract the second equation by two times the first one, we have:

2x + 3y - 2*(x + y) = 23 - 2*10

2x + 3y - 2x - 2y = 23 - 20

y = 3

x + 3 = 10 ⇒ x = 7

4 0
3 years ago
What is the distance between these points: (3,-16) and (-10,-12)
Alex Ar [27]
Distance between points (3, -16) and (-10, -12) is 13.6015
8 0
3 years ago
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What is 6/10 rounded to the nearest half
belka [17]

6/10 rounding to the nearest half would be 1, not 0.

Reason for this: Here is a number line to help you!

|----|----|

Left line = 0

Middle line = 1/2

Right line = 1

Here is another rule!

0/10, 1/10, 2/10, 3/10, 4/10 = rounded to the nearest half would be 0

5/10, 6/10, 7/10, 8/10, 9/10, 10/10 = rounded to the nearest half would be 1.

So 6/10 rounded to the nearest half is 1.

Hope this helped!

Plz mark brainliest!

5 0
4 years ago
Which of the following measures of variability can be used to compare two data sets? Select all that apply.3 Answers PLZ FAST AS
Ksenya-84 [330]
A B D I’m pretty sure. Median is 3 or more and range just doesn’t make sense for 2 numbers
8 0
3 years ago
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Consider the following table. Is the relationship proportional? Explain your answer.
SpyIntel [72]

Answer:

No

Step-by-step explanation:

a proportional relationship must have a constant ratio to another quantity.

have a nice day and mark me brainliest! :)

8 0
4 years ago
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