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4 years ago

Which number has a 9 that has a value that is 10 times as much as the 9 in 593,6407

Mathematics

1 answer:

storchak [24]4 years ago

5 0

Answer:

Any number with the 9 in the hundred thousands place for example, 905,556 or 956,214

Step-by-step explanation:

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Las Vegas, Nevada and Phoenix, Arizona are 290 miles apart. If it takes a driver 4.5 hours to drive from Las Vegas to Phoenix, w

Furkat [3]

Answer:

64.4 miles per hour

Step-by-step explanation:

divide the amount of miles by the amount of hours to get miles per hour

5 0

4 years ago

Error Analysis The diameter of the circle is 18 m. Eugene incorrectly says that the circumference

frutty [35]

Answer:56.52m, Eugene used a wrong formula

Step-by-step explanation:

diameter=18m

π=3.14

Circumference of circle=π x diameter

Circumference of circle=3.14 x 18

Circumference of circle=56.52m

Eugene used a wrong formula

Circumference of circle=2 x π x diameter

instead of

Circumference of circle=π x diameter

7 0

3 years ago

Can you prove it?? it's hard,I tried but couldn't solve this.

BARSIC [14]

I'll abbreviate $s=\sin\theta$ and $c=\cos\theta$ , so the identity to prove is

$\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1s\right)$

On the left side, we can simplify a bit:

$\dfrac{s+c+1}{s+c-1}=\dfrac{s+c-1+2}{s+c-1}=1+\dfrac2{s+c-1}$

$\dfrac{1+s-c}{1-s+c}=-\dfrac{-2+1-s+c}{1-s+c}=-1+\dfrac2{1-s+c}$

Then

$\dfrac{s+c+1}{s+c-1}-\dfrac{1+s-c}{1-s+c}=2\left(1+\dfrac1{s+c-1}-\dfrac1{1-s+c}\right)$

So the establish the original equality, we need to show that

$\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac1s$

Combine the fractions:

$\dfrac{(1-s+c)-(s+c-1)}{(s+c-1)(1-s+c)}=\dfrac{2-2s}{c^2-s^2+2s-1}$

We can rewrite the denominator as

$c^2-s^2+2s-1=c^2+s^2-2s^2+2s-1$

then using the fact that $c^2+s^2=\cos^2\theta+\sin^2\theta=1$ , we get

$1-2s^2+2s-1=2s-2s^2$

so that we have

$\dfrac1{s+c-1}-\dfrac1{1-s+c}=\dfrac{2-2s}{2s-2s^2}=\dfrac1s$

as desired.

6 0

4 years ago

number of customers in a store on the first day is represented by (6x-3). the number of customers on the second day is represent

fiasKO [112]

6x- 3 is 6×(50)- 3
X- 1 is 50- 1

4 0

3 years ago

Find the distance between two points. ENTER THE NUMBER THAT GOES BENEATH THE RADICAL SYMBOL.

iVinArrow [24]

<h2>The distance between two points is $\sqrt{98}$ or 9.9 units</h2>

Solution:

The distance between two points is given as:

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

From given,

$(x_1, x_2) = (-5, 5)\\\\(x_2, y_2) = (2, -2)$

Substituting the values we get,

$d = \sqrt{(2+5)^2+(-2-5)^2}\\\\d = \sqrt{7^2+(-7)^2}\\\\d = \sqrt{49+49}\\\\d = \sqrt{98}\\\\d = 9.899 \approx 9.9$

Thus the distance between two points is $\sqrt{98}$ or 9.9 units

8 0

3 years ago