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3 years ago

What is the length of x in the diagram below?

Mathematics

2 answers:

stiks02 [169]3 years ago

6 0

Answer:

Step-by-step explanation:

its 10. just did the unit test

luda_lava [24]3 years ago

4 0

Answer:

That is a 45-45-90 triangle next to a 30-60-90 triangle.

So, the height of the left triangle equals 5.

That makes the short side of the 30-60-90 triangle also equal to 5.

In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.

Therefore, the hypotenuse (or "x") equals 10.

Step-by-step explanation:

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Solve for x in the equation X^2 - 8X + 41= 0

BaLLatris [955]

Answer:

The equation has two solutions for x:

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1

x = 8 +/- (√64 - 164)/2

x = 8 +/- (√-100)/2

x = 8 +/- (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

8 0

3 years ago

On a 8.5 x 11 inches (or larger) paper, create a carnival game (for example it could be: throwing a dart at a target, ball throu

Keith_Richards [23]

The probability of winning the game is 0.065

<h3>The description of the game</h3>

The game involves throwing two darts at two targets.

To win the game, the darts must hit anywhere in the following shapes

Rectangle: 5 by 4 inches
Circle: Radius, r = 3 inches

<h3>The probability of winning</h3>

The area of the paper is:

Area = 8.5 inches * 11 inches

Area = 93.5 square inches

The area of the rectangle on the paper is:

Area = 5 inches * 4 inches

Area = 20 square inches

The area of the circle on the paper is:

Area = π * (3 inches)²

Area = 28.3 square inches

The probability of landing on both shapes is

P(Both) = 20/93.5 * 28.3/93.5

Evaluate

P(Both) = 0.065

Hence, the probability of winning the game is 0.065