All categories

3 years ago

How do i write 658.129 in expanded form?

Mathematics

2 answers:

Orlov [11]3 years ago

5 0

Six hundred fifty eight and one hundred twenty nine thousandths

Vlada [557]3 years ago

3 0

Six hundred fifty eight and one hundred twenty nine thousandths

You might be interested in

PROVE THAT:<br><br>cos 20° - sin 20° = \sqrt{2}sin25°<br><br>

Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

First, use the co-function identity:

$\sin(90-x)=\cos(x)$

We can turn the second term into cosine:

$\sin(20)=\sin(90-70)=\cos(70)$

Substitute:

$\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Now, use the sum to product formulas. We will use the following:

$\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})$

Substitute:

$\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)$

Use the even-odd identity:

$\sin(-x)=-\sin(x)$

Therefore:

$\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Replace the second term with the original term:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

Proof complete.

4 0

4 years ago

the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 31 degrees. if the vertical distance

Eduardwww [97]

Answer:

The ride lasts 10 minutes.

Step-by-step explanation:

The triangle that is formed is attached.

In order to find out how long the ride lasts, we need to figure out the horizontal distance $d.$

From trigonometry we have:

$tan(31^o)=\frac{902}{d}.$

Therefore

$d=\frac{902\:feet}{tan(31^o)}=1501\:feet.$

Now the amount of time $t$ the gondola ride lasts is equal to the distance $d$ divided by the speed of the gondola:

$t=\frac{1501ft}{155ft/sec} =\boxed{9.69\:minutes.}$

To the nearest minute this is 10 minutes.

7 0

4 years ago

If the price of an object dropped 75% down to $85.99 what was the original price?

Serggg [28]

If the price of an object drastically dropped 75%, then the dropped price is equal to 25% of the original price. That means that to find the original price, we have to multiply by the reciprocal of 25% (4). The original price would be $85.99 * 4 which is $343.96.

6 0

3 years ago

Thank you please show your work<3 !!!!

inna [77]

Answer:

x=2

Step-by-step explanation:

y=-7x+13

y=-1

plug in -1 for y in the first problem.

-1=-7x+13

subtract 13 by both sides

-14=-7x

divide both sides by -7 to isolate x

2=x

hope that helped have a good day

3 0

3 years ago

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter

Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

$H=-4.9t^2+5t+2$

The ball will hit the ground when h=0

$-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}$

3 0

3 years ago