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3 years ago

Find the product of 10^3 * 10^6

2 answers:

7 0

${10}^{3} \times {10}^{6}$
$= {10}^{9}$
The answer is:
${10}^{9}$
This is because of the law of indices. When multiplying indices, you add the powers.

monitta3 years ago

4 0

When multiplying the same base with exponents, you keep the base the same and then you add the exponents, so for this question you do:

10^3 x 10^6

10^9

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15000(0.068÷12)(1+0.068÷12)^12×4(1+0.068÷12)^12×4 -1

zhuklara [117]

Answer: 1556.52935024

Step-by-step explanation: Pemdas

According to Khan Academy, "The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)."

7 0

2 years ago

An angle measure is 72.3 degrees. What is the measure of its complement? (I already tried 17.7 and that’s not correct).

Makovka662 [10]

Answer:

I got 17.7°

Step-by-step explanation:

Since a complimentary angle adds up to 90 degrees, this would be the right answer... does it require a degree symbol?

6 0

3 years ago

Three women, Chantel, Marissa, and Qian, enjoy running laps around a circular track. Each women runs at a constant speed. It tak

lubasha [3.4K]

It takes 150 seconds for Qian to complete the track.

Let she runs the track in the clockwise direction.

In 60 seconds, she runs $\frac{60}{150}$ = $\frac{2}{5}$ th of the track.

Since she meets Marissa, who is running in the opposite (counter clockwise) direction in every 60 seconds, Marissa should have completed $\frac{3}{5}$ th of the track.

Chantel meets Marissa in every 300 seconds.

So, in 60 seconds, she advances Marissa by $\frac{1}{5}$ th of the track.

Hence, in 300 seconds, Qian, Marissa and Chantel all meets at the starting point.

ALITER;

Marissa meets Qian in every 60 seconds.

So, Marissa and Qian meet each other in 60th, 120th, 180th, 240th and 300th second.

But, it is given that Chantel meets Marissa in every 300 seconds.

So, in 300 seconds, Qian, Marissa and Chantel meet each other.

6 0

3 years ago

As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change

Leni [432]

Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

Since measures of the opposite side and adjacent sides are given

Therefore, tangent ratio will be applied to get the measure of the angle,

tanθ = $\frac{2}{100}$

θ = $\text{tan}^{-1}(\frac{2}{100})$

Option (A) will be the answer.

5 0

3 years ago

nalin [4]

Answer:

No similarity and no scale factor (I could be wrong)

Step-by-step explanation:

Don't worry, no links :)

You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.

8 0

3 years ago