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Aloiza [94]
2 years ago
13

Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi

plication. Do not multiply factors fully and do not use spaces. x(4+5) = 54​
Mathematics
1 answer:
Maksim231197 [3]2 years ago
5 0

Given:

The equation is:

x(4+5)=54

To find:

The next step in simplifying the equation by using distributive property.

Solution:

Distributive property: According to this property if a, b and c are three real numbers, then

a(b+c)=ab+ac

We have,

x(4+5)=54

Using the distributive property, we get

x(4)+x(5)=54

It can be written as:

4x+5x=54

Therefore, the next step of the simplification is 4x+5x=54.

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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
Micheal was asked to give examples of the identity property of addition and identity multiplication. Below are his answers.
xxMikexx [17]

Answer:

identity property of addition-

a+0=a

identity property of multiplication-

a*1=a

Step-by-step explanation:

i cant give u an exact answer as u didnt give Micheals answers so i just gave some examples about what addition and multiplication identity property should look like. Identity property's concept is to keep the same identity. Basically, "a" shouldnt change. In addition, to keep a the same all u hv to do is add 0 as anything plus 0 is the same. for multiplication, just multiply by 1. Hope this helps!!

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3 years ago
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MAVERICK [17]

Answer: 6328723894

Step-by-step explanation:

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What is the complementary angle of 32
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