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3 years ago

Can the sides of a triangle have lengths of 10, 30, and 31? If so, what kind of triangle is it?

Mathematics

1 answer:

galina1969 [7]3 years ago

6 0

Answer:

The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle.

Step-by-step explanation:

In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle.

A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.

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Please please help me and tell me where to put the points on the graph

Sindrei [870]

Answer:

Y=MX+B

Step-by-step explanation:

put -1 on the y axis then go up 4 (3) after that go over 1 to the right since it's positive

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2 years ago

Explain how you would find 12 x 18 using the Distributive Property.

Lyrx [107]

You should multiply and search dis and all the answers pop up

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3 years ago

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

2 years ago

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasolin

vovangra [49]

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

3 0

3 years ago

Which of the following statements explains how to solve for w in the equation A = lw?

statuscvo [17]

Answer:

4. Divide both sides by l.

Step-by-step explanation:

You are trying to find out the answer for "w" so you need to get it alone on one side. Because "l" and "w" are multiplied together, you will have to divide "l" from both sides in order to get "w" by itself.

8 0

2 years ago