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wolverine [178]
3 years ago
14

Right triangle ABC is shown. Which statement is correct?

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0

Answer:

The answer to your question is the letter A.  AB = 6√3, sin 30 = √3/2

Step-by-step explanation:

Data

∠C = 60°

hypotenuse = AC = 12

Process

Calculate the length of the sides AB and BC. The calculate these lengths, use trigonometric functions.

a) To calculate AB use sine

           sin Ф = AB / AC

-Solve for AB

          AB = AC sinФ

-Substitution

          AB = 12 sin 60

- Result

          AB = 12√3 / 2

          AB = 6√3

b) To calculate BC use cosine

   cos Ф = BC / AC

-Solve for BC

    BC = AC cosФ

-Substitution

   BC = 12 (1/2)

-Result

   BC = 6

c) Calculate sin 30 and sin 60

   sin 30 = √3/2

   sin 60 = 1/2

Valentin [98]3 years ago
5 0

Answer: B) The length of side AB is 6\sqrt{3, so the sine of 60 is 3/2

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A clothing store is raising the price of all its sweaters by $3.00. Write a expression that could be used to find the new prices
ehidna [41]
Y=d-3. Y is equal to the cost of the sweaters before the price was raised. D represents the price of the sweaters after the price jump. The three is how much the sweater price was raised by. Say the new price of the sweaters are $29.99 each. You would plug in 29.99 for d. y=29.99-3. The new price of the sweaters would be $26.99 (this is just a sample problem)
8 0
3 years ago
Solve -1 3/8 K equals 2/3
guajiro [1.7K]

Answer:

  K = -16/33

Step-by-step explanation:

For a problem like this, it is convenient to write the mixed number as an improper fraction:

  -11/8 K = 2/3

Now, multiply the equation by the reciprocal of the coefficient of K.

  K = (-8/11)(2/3)

  K = -16/33

8 0
3 years ago
Which equation can be used to find the number of fish in the pond on June 1?
olga_2 [115]

Answer: The required equation is f-52=63 and the number of fishes in the pond on June 1 = 115


Step-by-step explanation:

Given: The number of fishes in pond on July 1 = 63

Also, it is said that the number of fishes in pond on July 1 is 52 fewer(lesser) than the number of fishes in pond on June 1.

Let f be the number of fishes in pounds on June 1.

then the required equation will be

f-52=63

Now, add 52 on both the sides  of the equation, we get

f=63+52\\\Rightarrow\ f=115


3 0
4 years ago
The perimeter of a regular hexagon is 54 centimeters. What is the length of each of its sides?
sweet [91]
9..................................................................
5 0
3 years ago
Read 2 more answers
Anyone knowww? :) help!
Yuki888 [10]
The answer would be 17.
This is because, the format for finding out the hypotenuse of a triangle is--
a^2 + b^2 = c^2
So, it would translate to--
15^2 + 8^2 = c^2
225 + 64 = 289
Because 289 = c^2, you need to take the square root of it.
The square root of 289 is 17.
Therefore, your answer is 17.
8 0
3 years ago
Read 2 more answers
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