How to show your work for 4÷29.5

Mathematics

1 answer:

S_A_V [24]3 years ago

5 0

The answer is approximately 0.14

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Solve sin x - (3sin x-1) = 0

soldi70 [24.7K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}$

Step-by-step explanation:

$\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}$

$\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.$

$\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}$

$\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi$

3 0

3 years ago

A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?

den301095 [7]

Set up the conversion factor like this:

$\frac{3in}{1} * \frac{1ft}{12in}$

The inches are in the denominator while the feet are in the numerator in the conversion factor. It's set up this way because the numerators and denominators have to be able to cancel out. In this case, the inches would cancel out, and you would end up with 3/12 feet, which is also 0.25 feet. The turtle walks 0.25 feet per second.

4 0

3 years ago

Read 2 more answers

What is the value of x? Show your work.

erma4kov [3.2K]

Well they are similar by ASA
30/25=1.2
20*1.2=24
24=4x-4
28=4x
7=x

5 0

3 years ago

Read 2 more answers

If i got a 19/25 answers right on a test what would be my test score

JulijaS [17]

76% would be your test score