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3 years ago

Long division how 2 do it

Mathematics

1 answer:

Firlakuza [10]3 years ago

6 0

Answer:

1.Divide the tens column dividend by the divisor.

2.Multiply the divisor by the quotient in the tens place column.

3.Subtract the product from the divisor.

4.Bring down the dividend in the ones column and repeat.

Step-by-step explanation:

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7-8x+4y+18-3x-y simplify

Katyanochek1 [597]

Answer:

-11x +3y + 25

Step-by-step explanation:

7-8x+4y+18-3x-y

= -8x-3x +4y-y +18+7 (putting like terms together)

= -11x +3y + 25 (Adding like terms)

7 0

3 years ago

Which expressions equals 9^3 sqrt 10

matrenka [14]

5^3 Sartre 10 + 4^3 sqrt 10

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3 years ago

7,,,,,,,,,,,,,,,,,,,,please help

Goryan [66]

Answer:

Step-by-step explanation:

The given expression is

$\frac{2^{\frac{11}{2} }\times 2^{-7}\times 2^{-5}}{2^3\times 2^{\frac{1}{2} }\times 2^{-10}}$

Recall and use

$a^m\times a^n=a^{m+n}$

$\frac{2^{\frac{11}{2} -7-5}}{ 2^{3+\frac{1}{2} -10}}$

$\frac{2^{-\frac{13}{2}}}{ 2^{-\frac{13}{2}}}$

Same bases are dividing, so we write one base and subtract the exponent.

$2^{-\frac{13}{2}+\frac{13}{2}}$

$2^0=1$

8 0

3 years ago

Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.

nika2105 [10]

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

<h3>How to determine the ratio of the areas?</h3>

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

White = 64x²
Circle = 16πx²
Gray = 32x²

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2