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4 years ago

5

A king-size waterbed mattress measures 5.5 feet by 6.5 feet by 8 inches deep. To the nearest pound, how much does the water in t

his waterbed weigh?

1 answer:

AURORKA [14]4 years ago

8 0

To find the volume just multiply all the numbers together =5.5 * 6.5 * 8

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Oliver rides his bike 43 miles in 2.5 hours. How many miles will he ride in 3.5 hours?

VLD [36.1K]

Answer:

60.2 miles.

Step-by-step explanation:

43 / 2.5 = 17.2 << unit rate

17.2 x 3.5 = 60.2

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3 years ago

What is the value of the expression 2 superscript 5?<br> 10<br> 25<br> 32<br> 64

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3 years ago

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3 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

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3 years ago

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The first 2 terms of geometric sequnce are shown 3 and 9. What is the next term in the geometric sequence?

Bad White [126]

The next number is 27.
You can find this by finding the common ratio between 3 and 9 and multiplying 9 by the common ratio. The common ratio is 3

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3 years ago