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Leviafan [203]
3 years ago
12

Multiply and divide in scientific notation​

Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents. To divide two numbers in scientific notation, divide their coefficients and subtract their exponents. In either case, the answer must be converted to scientific notation.

Step-by-step explanation:

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Answer:

The vertical distance from the top of the slide go the ground is 24.25 feet

Step-by-step explanation:

Here, we want to calculate the vertical distance from the top of the slide to the ground.

To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;

Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle

The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse

So the trigonometric ratio we are to use will consider the opposite and the hypotenuse

This is the sine

Mathematically sine of an angle = length of the opposite/length of the hypotenuse

let’s call the length of the opposite x

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Which expression represents the sixth term in the binomial expansion of (2a - 3b)10?
Ksenya-84 [330]

<u>Answer</u>

2,737,152a⁵b⁵


<u>Explanation</u>

(2a - 3b)¹⁰ = (2a)¹⁰ - 10(2a)⁹(3b) + 47(2a)⁸(3b)² - 144(2a)⁷(3b)³ - 212(2a)⁶(3b)⁴ + 352(2a)⁵(3b)⁵

The 6th term in this expression is 352(2a)⁵(3b)⁵

352(2a)⁵(3b)⁵ = 352 × 2⁵a⁵ × 3⁵b⁵

                         = 352 × 32 ×243 ×a⁵b⁵

                         = 2,737,152a⁵b⁵

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Faces are correct, edges are correct, and vertices are also correct
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