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natita [175]
3 years ago
11

How do I find the density? Harold is a woodworker and is interested in finding the density of two different types of wood. He bo

ught a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds.
Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

The density of the pine log is 0.2842 pounds per inch.

Step-by-step explanation:

To calculate the density of an object, you must divide its mass by its volume (radius times height). Thus, given that the pine log that has a 5-inch radius and is 30 inches long, while its weight is approximately 42.63 pounds, the following calculation must be performed to determine its density:

X = 42.63 / (30 x 5)

X = 42.63 / 150

X = 0.2842

Thus, the density of the pine log is 0.2842 pounds per inch.

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4 years ago
Writing Exercises
yawa3891 [41]

Answer:

A quadratic equation can be solved using the quadratic formula, the factoring method, or completing the square. You expect to get either one or two answers.

Step-by-step explanation:

First, we have to understand how to solve a quadratic equation. There are three methods, the first of which is the quadratic formula. For any quadratic equation that takes the standard form of

f(x)=ax^2+bx+c

you can solve for x by using the following formula:

x=(-b±√(b^2-4ac))/2a

Sometimes, however, the quadratic expression is factorable, meaning it can be converted into a product of two smaller expressions. For example:

x^2-4=(x-2)(x+2)

As you can see, factoring gives you the roots easily (set each smaller expression to 0 and solve for x). If the quadratic is factorable, it would be easiest to use this method first.

Completing the square is another method that can be used to solve a quadratic function. It is often preferred because it converts the function into something factorable. In order to complete the square, you have to first ensure that the quadratic term's coefficient is 1. After that, you can take the linear term's coefficient, divide it by 2, and square it. Take the new term you found and add it to the equation. Because you are adding something to an equation, you must also subtract. Now, you can complete the square and factor. An example can be found below:

x^{2}-6=0\\\\(x^2-6+9)-9=0\\\\(x-3)^2-9=0\\\\(x-3-3)(x-3+3)=0\\\\x(x-6)=0\\\\x=0, x=6

A quadratic equation can only have up to two solutions. You can imagine the graph of a quadratic. It looks like a parabola and only changes directions once. This means that it only crosses the x-axis two times. You can also look at the examples given and see that factoring only gives you two smaller expressions (leading to 2 roots). Sometimes, however, you might get a double root, leading to an equation with only one solution. This happens when the discriminant of the quadratic equation is 0. You can calculate this in advance to save yourself some time.

4 0
2 years ago
Find surface area <br> Please show full working out
NemiM [27]
Answer : 400 cm square :)
Sorry if it’s incorrect ;-;

7 0
4 years ago
Read 2 more answers
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storchak [24]

Answer:

-6x+2y=-18 = y = -9 + 3x

-3x-2y=54 = y = -27 - \frac{3x}{2}

Step-by-step explanation:

I hope I understood this correctly.

8 0
3 years ago
Write a rule for the sequence then find the next three terms 24,27,30,33 . . .
never [62]
Each number is adding 3 to get the next one. We can test this by applying this rule to the sequence of numbers.
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This method is correct, so all we have to do is apply it to the last number to get the next one.
33+3=36
Hope this helps!
5 0
3 years ago
Read 2 more answers
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