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4 years ago

Which property is illustrated by the following statement? 5g+7= 7 + 5g

Mathematics

2 answers:

nikdorinn [45]4 years ago

4 0

Commutative property

Arada [10]4 years ago

4 0

Answer:

The property which is illustrated by the statement 5g+7= 7 + 5g is:

Commutative property

Step-by-step explanation:

Commutative property states that:

If a and b are two elements defined under the operation *

Then, a*b=b*a

Here, we are given

5g+7= 7 + 5g

i.e. a=5g, b=7 and * = +

Hence, the property which is illustrated by the statement 5g+7= 7 + 5g is:

Commutative property

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The mens taxable is income is rs 14280 the state tex instruction tel him to pay 2%on the first rs3000 of his taxable incom 3% on

Naddik [55]

Answer:

Rs. 451.2

Step-by-step explanation:

It is given that a men's total taxable income is Rs. 14,280.

He is charged by the state tax for 2% on the first Rs. 3000.

i.e. $2 \% \times 3000$

$=\frac{2}{100} \times 3000$

= Rs. 60

Then he is asked to pay 3% on the second Rs. 3000

i.e. $3 \% \times 3000$

$=\frac{3}{100} \times 3000$

= Rs. 90

Similarly, he pays 3% on the third Rs. 3000

i.e. $3 \% \times 3000$

$=\frac{3}{100} \times 3000$

= Rs. 90

Lastly, he pays 4% on the remaining amount. i.e 14,280 - (3000+3000+3000) = 14,280 - 9000 = Rs. 5280

∴ $4 \% \times 5280$

$=\frac{4}{100} \times 5280$

= Rs. 211.2

Thus the total amount of the income tax the man has to pay is

= 60+90+90+211.2

= Rs. 451.2

6 0

3 years ago

See the picture below

nika2105 [10]

Answer:

Surface Area = 66.4 square centimeters

Volume = 31.52 cubic centimeters

Surface Area = 113.1 square centimeters

Volume = 113.1 cubic centimeters

Step-by-step explanation:

Surface area of pyramid is area of all the surfaces. There are 4 triangles with area 1/2 * base * height

Where base is 4 and height is 6.3

Area of 4 triangles = 4 * 1/2 * 4 * 6.3 = 50.4

And area of square which is base^2 = 4 ^ 2 = 16

Surface Area = 50.4 + 16 = 66.4 square centimeters

Volume of Pyramid is 1/3 * area of base * height

To find height, altitude, we can drop from vertex to middle bottom. Now we can create a right triangle with hypotenuse 6.3 and base 2 (half of the side 4 cm). The altitute (height) is the other leg.

Now we can use pythagorean theorem to find height:

height ^ 2 + 2 ^ 2 = 6.3 ^ 2

height^2 + 4 = 39.69

height^2 = 39.69 - 4

height^2 = 35.69

height = 5.97

Now, Volume of Pyramid = 1/3 * (4)^2 * 5.97 = 31.52 cubic centimeters

Surface area of sphere is given by:

Surface Area of Sphere = $4\pi r^2$

radius, r, is given as 3, so

Surface Area of Sphere = $4\pi(3)^2=113.1$ square centimeter

Volume of Sphere is given by $\frac{4}{3}\pi r^3$

We know radius is 3, so

Volume of Sphere = $\frac{4}{3}\pi (3)^3= 113.1$ cubic centimeters

*they are the same

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babunello [35]

Answer:

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Step-by-step explanation:

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