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marissa [1.9K]
3 years ago
9

A ray is a portion of a line that begins at a point and extends endlessly in one direction.

Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer: T

Step-by-step explanation:

cuz i practice geometry.

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A 60 - kilogram person stands on a compression spring . The spring constant is 2500 Newtons per meter .
insens350 [35]
<h2>Answer:0.2352m</h2>

Step-by-step explanation:

Let the mass of the person be m.

Let the spring constant be k.

Let the displacement in spring be x

Let the acceleration due to gravity be g

As it is given that the person just stands,the forces are balanced.

So,mg=kx

Given,

m=60Kg\\k=2500Nm^{-1}\\g=9.8ms^{-2}

60\times 9.8=2500\times x\\x=\frac{588}{2500}=0.2352m

6 0
3 years ago
Help quik
artcher [175]
The answer will be 1/40
4 0
3 years ago
Read 2 more answers
6570 ÷ 16 <br><br><br>410<br><br><br>410 1/16<br><br><br>410 3/8<br><br><br>410 5/8
UNO [17]

Answer:

Exact Form:

3285

8

Decimal Form:

410.625

Mixed Number Form:

410

5

8

thats what i got i hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Arjun sells handmade ceramic mugs he Mark's them up by 60% to make a profit they cost $8 in materials how much do this mugs cost
Reptile [31]

Answer:

$12.80

Step-by-step explanation:

Before markup: $8

After markup: $8 x 160% = $12.80

This is a topic on percentage. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I've uploaded this topic's notes and will continue to upload more with tips as well!

6 0
2 years ago
I need help with my math homework. The questions is: Find all solutions of the equation in the interval [0,2π).
Aleksandr-060686 [28]

Answer:

\frac{7\pi}{24} and \frac{31\pi}{24}

Step-by-step explanation:

\sqrt{3} \tan(x-\frac{\pi}{8})-1=0

Let's first isolate the trig function.

Add 1 one on both sides:

\sqrt{3} \tan(x-\frac{\pi}{8})=1

Divide both sides by \sqrt{3}:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

Now recall \tan(u)=\frac{\sin(u)}{\cos(u)}.

\frac{1}{\sqrt{3}}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}

or

\frac{1}{\sqrt{3}}=\frac{-\frac{1}{2}}{-\frac{\sqrt{3}}{2}}

The first ratio I have can be found using \frac{\pi}{6} in the first rotation of the unit circle.

The second ratio I have can be found using \frac{7\pi}{6} you can see this is on the same line as the \frac{\pi}{6} so you could write \frac{7\pi}{6} as \frac{\pi}{6}+\pi.

So this means the following:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

is true when x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

where n is integer.

Integers are the set containing {..,-3,-2,-1,0,1,2,3,...}.

So now we have a linear equation to solve:

x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

Add \frac{\pi}{8} on both sides:

x=\frac{\pi}{6}+\frac{\pi}{8}+n \pi

Find common denominator between the first two terms on the right.

That is 24.

x=\frac{4\pi}{24}+\frac{3\pi}{24}+n \pi

x=\frac{7\pi}{24}+n \pi (So this is for all the solutions.)

Now I just notice that it said find all the solutions in the interval [0,2\pi).

So if \sqrt{3} \tan(x-\frac{\pi}{8})-1=0 and we let u=x-\frac{\pi}{8}, then solving for x gives us:

u+\frac{\pi}{8}=x ( I just added \frac{\pi}{8} on both sides.)

So recall 0\le x.

Then 0 \le u+\frac{\pi}{8}.

Subtract \frac{\pi}{8} on both sides:

-\frac{\pi}{8}\le u

Simplify:

-\frac{\pi}{8}\le u

-\frac{\pi}{8}\le u

So we want to find solutions to:

\tan(u)=\frac{1}{\sqrt{3}} with the condition:

-\frac{\pi}{8}\le u

That's just at \frac{\pi}{6} and \frac{7\pi}{6}

So now adding \frac{\pi}{8} to both gives us the solutions to:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}} in the interval:

0\le x.

The solutions we are looking for are:

\frac{\pi}{6}+\frac{\pi}{8} and \frac{7\pi}{6}+\frac{\pi}{8}

Let's simplifying:

(\frac{1}{6}+\frac{1}{8})\pi and (\frac{7}{6}+\frac{1}{8})\pi

\frac{7}{24}\pi and \frac{31}{24}\pi

\frac{7\pi}{24} and \frac{31\pi}{24}

5 0
3 years ago
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