Place the numbers below on the number line. Then order them from LEAST to GREATEST. A. 5.2 B. −7.5 C. − !" #

Mathematics

1 answer:

frosja888 [35]3 years ago

4 0

C,B,A hop this helps

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The planet Mars has a radius of 3400 km. What is the volume of Mars?

Elodia [21]

Answer:

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Radius (r) = 3400 km

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Radius (r) = 3400 km

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³

4 0

3 years ago

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh

polet [3.4K]

I hope this helps you

7 0

3 years ago

How do i solve this?

Alina [70]

Answer:

m∠R = 60°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = ∠R

Opposite Leg of ∠R = 10√3

Hypotenuse = 20

Step 2: Solve

Substitute in variables [sine]: $\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}$
[Equality Property] Trig inverse: $\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})$
Evaluate trig: $\displaystyle R = 60^\circ$