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2 years ago

15

If the sides of a right triangle is 10 cm, and the other side is 8 cm, what is the hypotenuse? Round to the nearest tenth.

2 answers:

Leno4ka [110]2 years ago

8 0

Answer:

Put 12.9

Step-by-step explanation:

cuz u gotta round up

Advocard [28]2 years ago

5 0

Answer:

Step-by-step explanation:

Pythagorean theorem,

hypotenuse² = Base² + altitude²

= 8² + 10²

= 64 + 100

= 164

hypotenuse = √164 = 12.8 cm

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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)

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2 years ago

Which expression is equivalent to 6(4(6x-4y)-5) ?

iren2701 [21]

Answer:

$144x - 96y - 30$

Step-by-step explanation:

<u>Step 1: Distribute </u>

$6(4(6x - 4y) - 5)$

$6((4 * 6x) + (4 * -4y) - 5)$

$6(24x - 16y - 5)$

<u>Step 2: Distribute again </u>

<u /> $(6 * 24x) + (6 * -16y) + (6 * -5)$

$144x - 96y - 30$

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2 years ago

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LenKa [72]

Answer:

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Step-by-step explanation:

Using the rule of exponents

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$4^{9}$ × $4^{3}$ = $4^{(9+3)}$ = $4^{12}$

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xeze [42]

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Step-by-step explanation:

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