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2 years ago

21.05 divided by 0.2

Mathematics

2 answers:

Valentin [98]2 years ago

8 0

Answer:

Step-by-step explanation:

Aleks [24]2 years ago

6 0

Answer:

$\frac{21.05}{0.2}=105.25$

Step-by-step explanation:

you have to do long division, but there is a number of steps, too many to put in here, but just check on calculator if you want to make sure

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In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.

Minchanka [31]

<h3><u>Question:</u></h3>

In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

<h3><u>Answer:</u></h3>

OPTION D

The exponent in Sam’s product is -5

<h3><u>Solution:</u></h3>

Given that,

In math class, Sam correctly multiplied $3.625 \times 10^{-8}$ by 500, then reported his product in scientific notation.

<em><u>To find: exponent in Sam’s product</u></em>

Let us first multiply 500 with $3.625 \times 10^{-8}$

$3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}$

Then Sam has reported this answer in scientific notation

Lets understand what is scientific notation of any number.

Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.

Let us rewrite the Sam's answer in scientific notation

<em><u>The format for writing a number in scientific notation is:</u></em>

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In $1812.5 \times 10^{-8}$ , we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by $10^3$

$1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}$

Exponent is a quantity representing the power to which a given number or expression is to be raised

So in $1.8125 \times 10^{-5}$ exponent is -5

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2 years ago

The table shows the total cost of purchasing x same-priced items and a catalog.

babymother [125]

6$ cost of the catalog

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2 years ago

Read 2 more answers

In the following diagram \overline{DE} \parallel \overline{FG}

Gnesinka [82]

Answer:

<x = 31°

Step-by-step explanation:

m<BCA = m<GCJ (vertical angles)

m<BCA = 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC = 90°

m<BAC + m<ABC + m<BCA = 180° (sum of triangle)

m<BAC + 90° + 59° = 180° (Substitution)

m<BAC + 149° = 180°

m<BAC = 180° - 149°

m<BAC = 31°

<x = <BAC (vertical angles)

m<x = 31° (substitution)

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2 years ago

Which equation can you use to solve in the figure shown?

Neporo4naja [7]

What’s the figure I couldn’t see anything here.

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2 years ago

General solution of equation sin x + sin 5x = sin 2x + sin 4x is

zaharov [31]

Answer:

x=nπ3, n∈I

Step-by-step explanation:

sin x + sin 5x = sin 2x + sin 4x

⇒⇒ 2 sin 3x cos 2x = 2 sin 3x cos x

⇒⇒ 2 sin 3x(cos 2x - cos x) = 0

⇒ sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3⇒ sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3 , n∈I, n∈I

or cos 2x−cos x=0 ⇒ cos 2x=cos xcos 2x-cos x=0 ⇒ cos 2x=cos x

⇒ 2x=2nπ±x ⇒ x=2nπ, 2nπ3⇒ 2x=2nπ±x ⇒ x=2nπ, 2nπ3 , n∈I, n∈I

But solutions obtained by x=2nπx=2nπ , n∈I, n∈I or x=2nπ3x=2nπ3 , n∈I, n∈I are all involved in x=nπ3x=nπ3 , n∈I

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2 years ago