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Bess [88]
3 years ago
11

Which solution finds the value of x in the triangle below?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

Since this is a right triangle, and one of the angles measures 60 degrees, we can conclude that the last side measures 30 degrees.

We can see that this is a 30-60-90 degree triangle.

The rules of 30-60-90 degree triangles are that the side opposite the 90 degree angle, or the hypotenuse can be measured with the variable 2a. The side opposite the 30 degree angle can be measured with a, and the side opposite the 60 degree angle will be measured with a\sqrt{3}.

We can see that 8 represents 2a because it is the hypotenuse. Since the side marked x is separated by the hypotenuse by an angle of 60 degrees, we note that side marked x is opposite the angle measuring 30 degrees. We note that the side opposite 30 degrees is marked a, and since we already know that 8 is equal to 2a, we realize that the side marked x is equal to a, or 4.

forsale [732]3 years ago
5 0

I didn't get it can you post a picture with it too?

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a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area o
marta [7]

Answer: 21,875 sqm

Step-by-step explanation:

Step 1:

   Find the gross area of the garden.

   Square 150m = 22,500 sqm.

Step 2:

   Find the area of the pool.

   Square 25m = 625 sqm.

Step 3:

   Subtract the area of the pool from the gross area of the garden

   to find the net area of the garden.

   22,500 - 625 = 21,875 sqm.

Warning:

   Do not subtract the side length of the swimming pool from the side length

   of the garden before squaring.

7 0
3 years ago
Explain how you could calculate the surface area of a<br> square pyramid.
lesya [120]

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8 0
2 years ago
Read 2 more answers
A cricket weighs 7/6 gram. A grasshopper weighs 0.76 gram. Which insect weighs more?
Anit [1.1K]
Just divide 7 by 6 to convert the fraction to decimal form and then compare the two
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3 years ago
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How do I do this ? I don’t understand logarithm
ale4655 [162]

Hello from MrBillDoesMath!

Answer:

x = 19

Discussion:

Both sides are logarithms to the same base, namely 20 , which implies the expressions in x (what we are taking logarithms of) must be equal. So we need to solve

4x - 10 = 3x + 9              => subtract 3x from both sides

4x-3x - 10 = 9                 => add 10 to both sides

x = 9 + 10 = 19

Thank you,

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8 0
2 years ago
Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table.
Leona [35]

Answer:

The experimental probability of rolling a 3 is greater than the theoretical probability of rolling a 3

Step-by-step explanation:

* Lets explain the difference between the theoretical probability and

 experimental probability

- Theoretical probability is what we expect to happen

- Experimental probability is what actually happens when we try it out

- Both of them calculated by the same way, the number of possible ways

 an outcome can occur divided by the total

* Lets solve the problem

- The table has two column;

# Number Cube             # Observed Frequency

           1                                           18

           2                                          16

           3                                          24

           4                                          26

           5                                          16

           6                                          20

        Total                                      120

∵ The experimental probability of rolling a 3 = 24/120 = 1/5 = 0.2

∴ The experimental probability of rolling a 3 = 0.2 = 20%

∵ The theoretical probability of rolling a 3 = 1/6

∴ The theoretical probability of rolling a 3 = 0.1666 ≅ 17%

∵ 20% is greater than 17%

∴ The experimental probability of rolling a 3 is greater than the

  theoretical probability of rolling a 3

7 0
2 years ago
Read 3 more answers
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