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3 years ago

Why might you want to use the commutative property to change the order of the integers in the following sum before adding

1 answer:

4 0

Commutative Property is the property in which you can move around numbers in numerical operations like, addition and multiplication while retaining their result. In contrast to subtraction and division in which position is an important factor for every result, here it is regardless. Why might you want to use this property?Well, most importantly it suits the operation of addition and hence, to ensure the arrangement of the number is in symmetric proportion to its counterpart such as 3 + 2=2 + 3. Or rather, understanding that the equations in both sides are but the same and equal in sum. Thus, this is much more usable or will make more sense if used in a larger scale of complex equations and integers.

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Write the slope intercept form slope=-3/4 y-intercept=-1

iVinArrow [24]

Answer: -3/4x -1

Step-by-step explanation:

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3 years ago

Read 2 more answers

Circle a has an area of 254.469 square units. What is the circumstance of circle a? Round your answer to the nearest hundredth,

Genrish500 [490]

Sqrt(254.469/π)=8.9999

7 0

3 years ago

At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a dia

Marina86 [1]

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = $\frac{Diameter}{2}=\frac{3in}{2}=1.5in$

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = $\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}$

Number of soda cans are in a pack = $\frac{423.9in^3}{42.39in^3}$

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

8 0

3 years ago

Write three equivalent ratios for the given ratio 4/3

vfiekz [6]

Answer:

8/6 12/9 16/12

Step-by-step explanation:

5 0

3 years ago

Trapezoid EFGH is inscribed in a circle, with <img src="https://tex.z-dn.net/?f=EF%20%5Cparallel%20GH" id="TexFormula1" title="E

oksano4ka [1.4K]

Answer:

Arc EPF is 240°

Step-by-step explanation:

Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;

∠HGF + ∠GFE = 180°

∠GHE + ∠GFE = 180°

∠HGF + ∠HEF = 180°

∴∠HEF = ∠GFE

In ΔHEF and ΔGFE

∠EHF = ∠EGF (Angles subtending the same segment)

With side EF common to both triangles and ∠HEF = ∠GFE , we have;

ΔHEF ≅ ΔGFE (Angle Angle Side rule)

Hence, side FG = EH

For cyclic trapezoid side FG = EH

The base angles subtended by GH = 70

Arc EH = x² - 2·x

Arc FG = 56 - 3·x

Therefore;

70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)

Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;

x² - 2·x = 56 - 3·x

x² - 2·x - 56 + 3·x = 0

x² + x - 56 = 0

(x - 7)(x + 8) = 0

Therefore, since x > 0 we have x = 7

Plugging in the value of x into the equation (1), we have

70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)

70 + 70 + arc EPF = 360

arc EPF = 360 - 140 = 240°.

6 0

3 years ago