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horrorfan [7]
2 years ago
6

A man leaves home at 22:15 hours and reaches his destination at 04:00 hours on the following day. how many hours did the journey

take?
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
8 0

Answer,

Leaves from home=22:15hour

get to destination=4:00hour

time taken on a journey,

from time 22:15hour to 24:00hour=2:45hour and,

time is taken form 22:00hour to 4:00hour=4:00hour
So, the total time taken to reach the destination is 2:45+4:00=6:45hour

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The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1
natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}

\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.

7 0
3 years ago
If each of the 4 shelves holds 14 movies, how many movies does Betty have on her shelving unit? Show your work.
Flura [38]

Answer:

56

Step-by-step explanation:

Multiply 4 by 14 to get your answer.

8 0
3 years ago
I need to write this inequality in words <br> X &lt;-3
Temka [501]
X is less than negative 3
Hope that helps!! :D
6 0
3 years ago
Read 2 more answers
What value of x makes the equation true?<br><br> a -3<br><br> b -1<br><br> c 3<br><br> d 1
Ivenika [448]

Answer:

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Step-by-step explanation:

cause positive = negative

the answer is = negative

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1) Order the animals by sleep time from least to greatest.
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The way to line the animals is to put them in order going down. 0.433 56.3% 19/40 65.8%. Then you try to figure out what you need to convert so that you can get your answer. 56.3% changes to 0.563 because you move the decimal two places to the left. 65.8% changes to 0.658 and 19/40 is 0.475. 0.433 0.563 0.475 0.658. Now you compare each row to figure them out. When you do that your answer will be 0.433, 0.475, 0.563, and 0.658. I sleep about 9/24 of the day which is 0.375 and I will fit right befor 0.433.
4 0
3 years ago
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