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3 years ago

14

during the week of the country fair, fifteen thousand, six hundred nine entry tickets were sold. Is it correct to write the numb

er as 15,069 explain.

1 answer:

dezoksy [38]3 years ago

4 0

Answer:

No. It's 15,609

Step-by-step explanation:

The fifteen thousand represents the 15,000

The six hundred is 600

The nine is 9.

So it is 15,609

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Snowcat [4.5K]

Answer:

1. 50000

2.

i 274625000cm

ii 274.625m

Step-by-step explanation:

1. Area of a rectangle: length*width

250*200=50000cm

2. Volume of a cube: length^3

i 650^3=274625000cm

ii 650 cm=6.5m; 6.5^3=274.625m

8 0

3 years ago

Read 2 more answers

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Can I please get some help with both problems

dimulka [17.4K]

So you subtract 180 from 90 you get you answer then you will divide it by 55 and your remaining answer which you will get will be x

4 0

3 years ago

520% of 100<br> 20 1/4% of 3<br> 0.15% of 250<br> 200%of 79<br> 0.3% of 80<br> 0.28% of 50

Tema [17]

Since the word, 'of' means to multiply, whenever we see of multply the two numbers.
Then there are two ways to dothis, sicne to convert a percentage into a decimal, you devide by 100, we can either do this after we multiply or bfore, it doesn't matter so I'm going to do it after.

1. 520x100=52000/100=520
2. 20.25x3=60.75/100=.6075
3. .15x250=37.5/100=.375
4. 200x79=15800/100=158
5..3x80=24/100=.24
6. .28x50=14/100=.14

8 0

3 years ago

Given f(x)=x-10. what is f(-7)

Vlad [161]

$f( - 7) = ( - 7) - 10 \\ = -1 7$
answer is -17

5 0

3 years ago