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3 years ago

Find the exact value of x in the triangle below

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

3 0

So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.

In this case, the short leg is 5√3 since that times √3 makes 15.

Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.

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Elisa has 10 gold colored coins and 6 silver colored coins. She selects 2 coins with replacement. What is the probability she se

amm1812

Answer: $\frac{9}{64}$

Step-by-step explanation:

n(gold colored coins) = 10

n(silver colored coins) = 6

Total number of coins = 16

since there is replacement , the probability she selects 2 silver colored coins will be :

$\frac{6}{16}$ x $\frac{6}{16}$

= $\frac{3}{8}$ x $\frac{3}{8}$

= $\frac{9}{64}$

Therefore : the probability she selects 2 silver colored coins is $\frac{9}{64}$

3 0

4 years ago

Read 2 more answers

Reflect A(29,-32) across the x-axis. *

Phantasy [73]

The coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)

<h3>Reflection of coordinates</h3>

If a coordinate (x, y) is reflected across the x-axis, the resulting coordinate after reflection is (x,-y)

Note that the y-ccordinate is negated after the reflection.

Given the coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)

Learn more on reflection here: brainly.com/question/26642069

#SPJ1

4 0

2 years ago

Bernard solved the equation 5 x + (negative 4) = 6 x + 4 using algebra tiles. Which explains why Bernard added 5 negative x-tile

LenaWriter [7]

Answer:

To find why he would do this, we need to understand what all the possible first steps are in this equation.

You could add 4 to both sides.

You could subtract 4 from both sides.

You could subtract 5x from both sides.

You could subtract 6x from both sides.

Any of these work. In Bernard's case, he added 5 negative x tiles, meaning he subtracted. C and D already make no sense, but allow me to further explain. By him subtracting 5x from both sides, the equation turns into:

-4 = x + 4

By this point, he can just subtract 4 from both sides to find the value of x. But the question asks for why he did the first step. Therefore, it would

6 0

3 years ago

Read 2 more answers

it cost $6 to join an online DVD club and $2.50 to rent each DVD. write an equation for the relationship that shows the total co

bonufazy [111]

6+2.50=y
y=8.5

Hope this helped☺☺

6 0

3 years ago

Read 2 more answers

Consider this example on how different a median can be from a sample. Suppose there is a company that mentions the average salar

Delvig [45]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

8000, 8000, 7000, 11000, 15000, 17000, 20000, 1000000.

Mean = Σx / n = 1086000 / 8 = 135750

Median = 1/2(n+1)th term = 8000

The lower quartile :

Q1 = 1/4(n+1)th term

Q1 = 8000

Q3 = 3/4 (n+1)th term

Q3 = 18500

IQR = 18500 - 8000 = 10500

OUTLIER :

8000 - (1.5*(10500)) = - 7750

18500 + (1.5*(10500)) = 34250

10% trimmed mean

10% * 8

Cut off 1 from the top and bottom

Data becomes : 8000, 8000, 11000, 15000, 17000, 20000

Trimmed mean = 13166

5 0

3 years ago