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2 years ago

Which statement compares the two numbers correctly?

Mathematics

1 answer:

Pie2 years ago

6 0

Hey there! We are given two decimal numbers to compare.

52.311 and 52.31

These two numbers are similar except that 52.311 has another 1 in while 51.31 doesn't.

Keep in mind that 52.31 can also refer to 52.310

So we are comparing 52.311 and 52.310

Since 1 is greater than 0.

52.311 is greater than 52.31 (52.311 > 52.31)

Let me know if you have any questions!

Topic: Decimal Numbers

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If a box in the group has a length of 30 inches what is its volume

USPshnik [31]

V=a^3
v=30^3
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3 years ago

Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.

Jet001 [13]

Answer:

$\Delta y = A$ (Amplitude) (Correct answer: 1)

$\omega = B$ (Angular frequency) (Correct answer: 2)

$x_{o} = C$ (Phase shift) (Correct answer: 3)

$y_{o} = D$ (Vertical shift) (Correct answer: 4)

$\frac{2\pi}{\omega} = \frac{2\pi}{B}$ (Period) (Correct answer: 5)

Step-by-step explanation:

The general form of a sinusoidal function is represented by the following characteristics:

$y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}$ (1)

Where:

$\Delta y$ - Amplitude.

$\omega$ - Angular frequency.

$x_{o}$ - Phase shift.

$y_{o}$ - Vertical shift.

$x$ - Independent variable.

$y$ - Dependent variable.

In addition, we know that the period associated with the sinusoidal function ( $T$ ) is:

$T = \frac{2\pi}{\omega}$

By direct comparison, we get the following conclusions:

$\Delta y = A$ (Amplitude) (Correct answer: 1)

$\omega = B$ (Angular frequency) (Correct answer: 2)

$x_{o} = C$ (Phase shift) (Correct answer: 3)

$y_{o} = D$ (Vertical shift) (Correct answer: 4)

$\frac{2\pi}{\omega} = \frac{2\pi}{B}$ (Period) (Correct answer: 5)

6 0

2 years ago

Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.

AVprozaik [17]

Answer:

$\sqrt{37}$ units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.

We know the formula of length of perpendicular from a point $(x_{1}, y_{1} )$ to the straight line ax + by + c = 0 is given by

$\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}$

Therefore, in our case the perpendicular distance is

$\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}$ units. (Answer)

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3 years ago

Can you help me solve this?

yuradex [85]

Answer:

Abraham Lincoln

Step-by-step explanation:

hes the 16th president, duh

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2 years ago

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Charra [1.4K]

The answer to this is

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Hope This Helps!
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2 years ago