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4 years ago

Select the property that allows the statement 10 = y to be written y = 10.

Mathematics

2 answers:

tester [92]4 years ago

8 0

Answer:

symmetric

Step-by-step explanation:

put into a mirror, it's the same back and froth (mirror is the equal sign)

10=y and y=10

Dmitry_Shevchenko [17]4 years ago

5 0

If a = b , then b = a

It's symmetric property of equality.

Answer: symmetric (if 10 = y, then y = 10)

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Prove: If a chord of a circle makes an angle of 30° with a diameter, prove that the distance from the center to the chord is one

Svet_ta [14]

Answer:

See explanation.

Step-by-step explanation:

Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.

Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

$OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.$

5 0

3 years ago

An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine a

Ket [755]

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is $s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13$

The mean is 40.35 and the standard deviation is 0.13.

5 0

3 years ago

The graph of y = 4x2 - 4x – 1 is shown.

11Alexandr11 [23.1K]

Answer:

i) The approximate solutions are: $x_{1} \approx -0.207$ , $x_{2} \approx 1.207$ .

ii) The approximate solutions are: $x_{1}\approx -0.5$ , $x_{2} \approx 1.5$ .

Step-by-step explanation:

i) The best approach to estimate graphically the solution of $4\cdot x^{2} - 4\cdot x - 1 = 0$ is graphing the following system of equations:

$y = 4\cdot x^{2}-4\cdot x - 1$ (1)

$y = 0$ (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: $x_{1} \approx -0.207$ , $x_{2} \approx 1.207$ .

ii) The best approach to estimate graphically the solution of $4\cdot x^{2} - 4\cdot x - 1 = 2$ is graphing the following system of equations:

$y = 4\cdot x^{2}-4\cdot x - 1$ (1)

$y = 2$ (2)

And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: $x_{1}\approx -0.5$ , $x_{2} \approx 1.5$ .