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2 years ago

Explain the difference between area and volume.

Mathematics

2 answers:

Sunny_sXe [5.5K]2 years ago

8 0

Answer:

d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object.

Step-by-step explanation:

The difference between area and volume...

Area is expressed in square units (²), measured in 2D (length × width).
Volume is expressed in cubic units (³), measured in 3D (length × width × depth).

A. INCORRECT,

Area is not a measure of distance around an object that is perimeter.
Volume = length × width × depth making it a 3D space inside an object NOT 2D

B. INCORRECT,

Area of an object is not 3D space is inside, rather this is volume
Volume of an object represents the distance around it is not true, this is describing perimeter

C. INCORRECT,

Area of an object is the amount of 3D space is is for volume not area
Volume of an object is a measurement of 2D space which not true

D. CORRECT,

Area of an object measures is a 2D space it occupies, length × width
Volume represents the amount of space inside a 3D object, length × width × depth

Learn more about Area and Volume here: brainly.com/question/14306303

Alexeev081 [22]2 years ago

7 0

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Find the quotient of these Complex Numbers. (5-i) / (3+2i)

JulsSmile [24]

Let the given complex number

z = x + ix = $\dfrac{5-i}{3+2i}$

We have to find the standard form of complex number.

Solution:

∴ x + iy = $\dfrac{5-i}{3+2i}$

Rationalising numerator part of complex number, we get

x + iy = $\dfrac{5-i}{3+2i}\times \dfrac{3-2i}{3-2i}$

⇒ x + iy = $\dfrac{(5-i)(3-2i)}{3^2-(2i)^2}$

Using the algebraic identity:

(a + b)(a - b) = $a^{2}$ - $b^{2}$

⇒ x + iy = $\dfrac{15-10i-3i+2i^2}{9-4i^2}$

⇒ x + iy = $\dfrac{15-13i+2(-1)}{9-4(-1)}$ [ ∵ $i^{2} =-1$ ]

⇒ x + iy = $\dfrac{15-2-13i}{9+4}$

⇒ x + iy = $\dfrac{13-13i}{13}$

⇒ x + iy = $\dfrac{13(1-i)}{13}$

⇒ x + iy = 1 - i

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3 years ago

Find the measures of the numbered angles in the isosceles trapezoid. I need help ASP

Novay_Z [31]

Answer:

∠1 = 50°

∠2 = ∠3 = 130°

Step-by-step explanation:

In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:

∠1 ≅ 50°

∠2 ≅ ∠3

The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.

∠2 = 180° -∠1 = 180° -50° = 130°

We already know angle 3 is congruent to this.

∠1 = 50°

∠2 = ∠3 = 130°

_____

Additional comment

It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.

Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.

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2 years ago

Graph the inequality of x<0

alina1380 [7]

The graph is shown below.

We use an open dot at zero because x is only less than 0,

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So we have an open dot at 0 going to the left.

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