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seraphim [82]
3 years ago
8

Let's simplify

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Step-by-step explanation:

Given

=  \frac{1.5 \times  {10}^{4} \times 4.5 \times  {10}^{3}  }{2.5 \times 10 ^{2} }  \\ =  \frac{6.75 \times  {10}^{4 + 3} }{2.5 \times  {10}^{2} }  \\  = \frac{6.75 \times  {10}^{7} }{2.5 \times  {10}^{2} } \\  = 2.7 \times  {10}^{7 - 2}  \\  = 2.7 \times  {10}^{5}

Hope it will help :)

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In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.
lana66690 [7]

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

7 0
2 years ago
company 2 charges 4600$ for the first 550 feet of fence and 29 for each additional feet.find the cost if company 2 completes the
Maru [420]

Answer:

I love you 6.78

Step-by-step explanation:

You have to love yourself

- 5x

-6 x 45

6.78

4 0
3 years ago
This equation will be in standard form if you subtract 2x2 from both sides and subtract 8x from both sides.
Lady_Fox [76]

i looked it up and it is false

6 0
3 years ago
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natulia [17]
-6.5 which in your answer choices is a
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2 years ago
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jeka94

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

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