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aleksandrvk [35]
3 years ago
14

In this triangle, what is the value of x?

Mathematics
1 answer:
nalin [4]3 years ago
8 0

Answer: x=56.5\ km

Step-by-step explanation:

Given the right triangle in the image, you need to remember the following identity:

cos\alpha=\frac{adjacent}{hypotenuse}

Observe the triangle. You can identify that:

\alpha=28\°\\adjacent=x\\hypotenuse=64

Then, knowing these values, you can substitute them into  cos\alpha=\frac{adjacent}{hypotenuse}:

cos(28\°)=\frac{x}{64}

Finally, you have to solve for "x".

Therefore, the value of "x" rounded to the nearest tenth is:

64*cos(28\°)=x\\x=56.5\ km

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Answer:

C. x>0

Step-by-step explanation:

Given: f(x)=log(8x)

To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.

8x>0

x>0

So since x is greater than zero, we have just found out our domain:

Interval Notation: (0, ∞)

Set Notation: {x|x>0}

3 0
3 years ago
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Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x? x = StartFraction negative 3 plus-or-
Brrunno [24]

Answer: FIRST OPTION

Step-by-step explanation:

<h3> The missing picture is attached.</h3>

By definition, given a Quadratic equation in the form:

ax^2+bx+c=0

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

x=\frac{-b \±\sqrt{b^2-4ac} }{2a}

In this case, the exercise gives you this Quadratic equation:

5x^2 + 3x - 4 = 0

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6 0
3 years ago
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NEED HELP!! PLEASE PLEASE
Bezzdna [24]

Answer:

The answer is A

Step-by-step explanation:

hope this helps,

If you like my answer please give brainliest,

Happy Holidays!

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Dovator [93]
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A fair die is rolled 5 times. What is the probability that a 3 is obtained on at least one of the rolls? Round your answer to th
Lerok [7]

Answer:

0.200

Step-by-step explanation:

The probability of obtaining a 3, in one roll of a fair die is 1/6.

Now, we have 5 rolls.

We now want to know the probability of a 3 showing up in at least one of the rolls.

This simply mean, we add the probabilities of three showing one time plus probability of three showing in 2 of the rolls e.t.c

This means we can have 3 showing up to 5 times.

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