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Sunny_sXe [5.5K]
2 years ago
5

Answer please!! :) ​

Mathematics
1 answer:
Ivenika [448]2 years ago
7 0
10/1
3/8
7/1
12/3
80/2
_________
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The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round answer to nearest ten
leonid [27]

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ V=108\pi \\ h=4 \end{cases}\implies 108\pi =\cfrac{\pi r^2(4)}{3}\implies 324\pi =4\pi r^2 \\\\\\ \cfrac{324\pi }{4\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies 9=r

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A car is traveling at a rate of 50 miles per hour, while a motorcycle is traveling at 70 miles per hour. The car takes 4 hours l
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Answer:

C,DB

Step-by-step explanation:

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Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst
fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   y = 1/3 x - 4 ⇒ (1)

   3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

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Answer:

-3

Step-by-step explanation:

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