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3 years ago

0.08 is 10 times as great as

Mathematics

2 answers:

Aloiza [94]3 years ago

5 0

Move the decimal point to the left one place, 0.008

Goryan [66]3 years ago

5 0

Answer: The required number is 0.008.

Step-by-step explanation: We are given to find the number such that 0.08 is 10 times as great as that number.

Let the required number be represented by x.

Then, according to the given information, we have

$0.08=10\times x\\\\\Rightarrow x=\dfrac{0.08}{10}\\\\\Rightarrow x=0.008.$

Thus, the required number is 0.008.

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This is a statistics problem.

Irina18 [472]

<span>The point estimate of the mean percentage of reservations is the midpoint of the interval, which is 3.2%</span>

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3 years ago

Rotation 90 clokwise HELP PLEASE

Ad libitum [116K]

Answer:

Step-by-step explanation:

I assume you want to rotate each point about the origin.

To rotate a point (x, y) 90° clockwise about the origin:

(x, y) → (y, -x)

For point A:

(-5, 0) → (0, 5)

For point B:

(-5, 3) → (3, 5)

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3 years ago

Can you prove it??<br>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

What’s the volume of a rectangle with the length of 12, width of 6, and height of 9?

Mrac [35]

Answer: Volume=648

Step-by-step explanation:

Volume formula= L*W*H

= 12*6*9

=72*9

=648

8 0

3 years ago

A company has 3 mechanics in 8 electricians if an employee is selected at random what is the probability that they are an electr

morpeh [17]

Answer:

8/11

Step-by-step explanation:

3 mechanics and 8 electricians = 11 employees total

if one selected at random the possibility of the employee to be an electrician is 8/11

4 0

3 years ago