Divide. Answer must be in Scientific Notation. Use the multiplication symbol in the answer. Help Video

4.5×10122.5×108
m

7 answers

To divide these numbers in scientific notation, we can divide the coefficients and subtract the exponents.

Using the formula:

a × 10^b / c × 10^d = (a / c) × 10^(b - d)

In this case, a = 4.5, b = 1012, c = 2.5, and d = 8.

Let's divide the coefficients:

4.5 / 2.5 = 1.8

Now, subtract the exponents:

1012 - 8 = 1004

Therefore, the answer in scientific notation is:

1.8 × 10^1004
Divide. Answer must be in Scientific Notation. Use the multiplication symbol in the answer. Help Video

2.304×1053.6×102
(1 point)
To divide these numbers in scientific notation, we can divide the coefficients and subtract the exponents.

Using the formula:

a × 10^b / c × 10^d = (a / c) × 10^(b - d)

In this case, a = 2.304, b = 105, c = 3.6, and d = 2.

Let's divide the coefficients:

2.304 / 3.6 ≈ 0.64

Now, subtract the exponents:

105 - 2 = 103

Therefore, the answer in scientific notation is:

0.64 × 10^103
Find the distance between the coordinate points A(2, 14) and B(10, 3). Round your answer to the nearest tenth. A graph representation of the points (2, 14) and (10, 3) for you to find the distance between.

a2+b2=c2




(1 point)
The distance between the two points is
units.
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To find the distance between two points in a coordinate plane, we can use the formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of point A are (2, 14) and the coordinates of point B are (10, 3).

Substituting the values into the formula:

d = √((10 - 2)^2 + (3 - 14)^2)
= √(8^2 + (-11)^2)
= √(64 + 121)
= √185
≈ 13.6

Therefore, the distance between points A(2, 14) and B(10, 3) is approximately 13.6 units.
Find the missing side of the right triangle. Round your answer to the nearest tenth.

a2+b2=c2


(1 point)
x =

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To find the missing side of a right triangle, we can use the Pythagorean Theorem:

a^2 + b^2 = c^2

In this case, let's assume that side a has a length of 5 and side c (the hypotenuse) has a length of 8.

Substituting the values into the formula:

5^2 + b^2 = 8^2
25 + b^2 = 64
b^2 = 64 - 25
b^2 = 39

Taking the square root of both sides to solve for b:

b ≈ √39
b ≈ 6.2

Therefore, the missing side of the right triangle is approximately 6.2.