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RSB [31]
3 years ago
6

Match each equation on the left to the mathematical property it uses on the right.

Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition

b) 5(2x + 3) = 10x + 15

distributive property

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication

d) (3 . x . 4) = (4.x .3)

commutative property of multiplication

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition

Step-by-step explanation:

We have to give properties for each equation.

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition as (a+b)+c= a+(b+c)

b) 5(2x + 3) = 10x + 15

distributive property as a(b+c)=ab+ac

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication as (a.b).c = a.(b.c)

d) (3 . x . 4) = (4.x .3)  (Assuming typing mistake in question)

commutative property of multiplication = a x b = b x a

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition as (a+b)+c= a+(b+c)

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A \greenD{4\,\text{cm} \times 6\,\text{cm}}4cm×6cmstart color greenD, 4, space, c, m, times, 6, space, c, m, end color greenD re
gayaneshka [121]

Answer:

356 cm².

Step-by-step explanation:

Step one: The first thing to do here is to Calculate the area of rectangle. The area of the rectangle can be calculated by using the formula below;

Area of rectangle = width × length = 6 × 4 = 24 cm².

Step two: the next step is to calculate the area of the circle. The area of the circle can be calculated by using the formula below;

Area of a circle = (radius)^2 × π.

Area of a circle = (11)^2 × π = 380.13 cm².

Step three: the next thing to do is to calculate the area of the shaded region which is the difference between the Area of a circle and the Area of rectangle.

That is; 380.13 cm² - 24 cm² = 356.13 cm².

6 0
3 years ago
A rectangular field is 36
blagie [28]

Answer:

12meters

Step-by-step explanation:

Given data

Lenght = 36 meters

Width = 15 meters

The dimension of the diagonal can be gotten via Pythagoras theorem

D^2= L^2+W^2

Substitute

D^2= 36^2+ 15^2

D^2=  1296+225

D^2= 1521

D= √1521

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Hence the distance while walking on the side is

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6 0
3 years ago
If z^1/2 = x^1/2 + y^1/2 , prove that (x + y - z)^2 = 4xy.<br><br>HELPP MEEEEE ​
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The answer is 6 cap use photo math
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QUICKK.
topjm [15]

You will need 8 drops of blue coloring to mix icing with 4 drops of yellow coloring.

In order to make the icing, you <u>used 2 drops of yellow coloring</u> for every<u> 4 drops of blue coloring. </u>

You need to first find the unit rate of blue coloring to yellow coloring.

<em>= blue coloring required / yellow coloring </em>

= 4 / 2

= 2

This means that for every drop of yellow coloring used, 2 drops of blue is used.

If you are to <u>use 4 drops of yellow</u>, the number of blue drops to use is:

<em>= Number of yellow drops x unit rate</em>

= 4 x 2

= 8 drops of blue coloring

In conclusion, you will need 8 drops of blue coloring for 4 drops of yellow coloring.

<em>Find out more at brainly.com/question/17041316.</em>

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