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Illusion [34]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
7 0

Answer:

3sqrt(2)

Step-by-step explanation:

The upper triangle is a 30-60-90 triangle. The hypotenuse is twice the length of the small leg.

30-60-90 triangle

hypotenuse = 6

small leg = 3

The small leg of the 30-60-90 triangle is the leg of the lower triangle.

The lower triangle is a 45-45-90 triangle. The hypotenuse is sqrt(2) times the length of the leg.

45-45-90 triangle

leg = 3

hypotenuse = 3sqrt(2)

x is the hypotenuse of the 45-45-90 triangle.

x = 3sqrt(2)

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Help answer all please wrong answers will get reported
Maurinko [17]

If f^{-1}(x) is the inverse of f(x), then by definition of inverse functions,

\left(f\circ f^{-1}\right)(x) = f\left(f^{-1}(x)\right) = x

Given f(x) = 2x-8, the inverse, if its exists, satisfies the equation above. Evaluate f at the inverse, we have

f\left(f^{-1}(x)\right) = 2 f^{-1}(x) - 8 = x

Solve for the inverse:

2 f^{-1}(x) - 8 = x

2 f^{-1}(x) = x + 8

\boxed{f^{-1}(x) = \dfrac12 x + 4}

Given g(x) = \frac13 x + 5, we do the same thing as before to find its inverse.

g\left(g^{-1}(x)\right) = \dfrac13 g^{-1}(x) + 5 = x \implies \boxed{g^{-1}(x) = 3x - 15}

5 0
2 years ago
A die is rolled 200 times with the following results.
OlgaM077 [116]

Answer:

Theoretical Probability: P(even) = . 1/2

Experimental Probability: P(evn) = 94/200 = 47/100

Step-by-step explanation:

The theoretical probability of getting a even number is 1/2 because it equally likely to get and not to get it. Since half of the numbers are even then the probability of getting an even is 1/2.

6 0
2 years ago
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9.<br> Square Root Functions
topjm [15]

Answer:

y = √(x - 3)

Step-by-step explanation:

The graph shown has exactly the same shape as does the graph of y = √x, EXCEPT that the entire graph of y = √x has been translated 3 units to the right.  Thus, the function describing this graph is y = √(x - 3).

8 0
3 years ago
What's the temperature on each thermometer?
elena-14-01-66 [18.8K]

Answer:

98.6°F (37°C)   the highest Six's thermometer that All I know sry

Step-by-step explanation:

8 0
3 years ago
You are choosing between two different cell phone plans. The first plan charges a rate of 24 cents per minute. The second plan c
Virty [35]

Answer: 286 minutes

Step-by-step explanation:

x : # of months that has gone by

0.24x : cost of the 24 cent plan after "x" minutes

39.95 + 0.10x : cost of the 10 cent plan after "x" minutes

1. 39.95 + 0.10x > 0.24x

2. 39.95 > 0.24x - 0.10x

3. 39.95 > 0.14x

4. 285.36 > x

x must be AT LEAST 286 minutes for plan #2 (39.95 + 0.10x) to be a better deal

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3 years ago
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