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2 years ago

When President Obama stated, "Transparency and the rule of law will be the touchstones of this presidency," he meant that

Mathematics

1 answer:

Dahasolnce [82]2 years ago

6 0

Answer:

that what

Step-by-step explanation:

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Find mZEGD <br><br><br> helppppppppppp pleaseeee :))

Damm [24]

Answer:

Step-by-step explanation:

I believe it would be 30 degrees because it is opposite of mAGB.

8 0

2 years ago

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be

Scorpion4ik [409]

Answer:

The dimensions of the rectangular box, x = y = z = 0.817 cm

Step-by-step explanation:

Given;

total surface area of the rectangular box or cuboid = 4 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions, x, y, z

x = y = z

6x² = 4

x² = 4/6

$x =\sqrt{\frac{4}{6} }\\\\ x = \frac{2}{\sqrt{6} } \ cm \ = 0.817 \ cm$

Therefore, the dimensions of the rectangular box, x = y = z = 0.817 cm

7 0

3 years ago

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

3 years ago

Find the missing segment in the image below

Bogdan [553]

Answer:

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ $\frac{AD}{AC} = \frac{AE}{AB}$

⇒ $\frac{6}{6+?} =\frac{4}{4+2}$

⇒ ? = 3

7 0

3 years ago

What is the percent change of a price decreased from $25 to $10 ?

GalinKa [24]

25 - 10 1 1 5 2 3
_______ ___ - ___ ____ - ____ = ___ = .15 = 15%

100 4 10 20 20 20

6 0

3 years ago