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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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How do I solve for the missing side lengths. My sender has to be as a radical in simplest form.
MrMuchimi

Answer: 6√6

Step-by-step explanation: When an angle is 45 degrees in a triangle it is actually half a square (I know right!!!), so, therefore, the other side length will also be 6, and then using the Pythagorean theorem we get the hypotenuse to be 6√2. Now, when an angle is 60 degrees in a triangle it is actually half an equilateral triangle (I know right!!!), so, therefore, the other side length will be double the length, 12√2, and using the Pythagorean theorem we get the side length x to be 6√6! Hope this helps!

6 0
3 years ago
What is the equation of the line in point slope form with
Feliz [49]

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

y-intercept= 8 - (3/4)(5) = 8 - 15/4 (8*4-15)/4

= 17/4

7 0
3 years ago
Choose the numbers that are irrational
creativ13 [48]

Answer:

π and √2.

Step-by-step explanation:

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8 0
3 years ago
A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou
gogolik [260]

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

8 0
4 years ago
Evaluate the expression on the picture below
PIT_PIT [208]

Answer:

Is it like this?

-7(7-7)=

-7(0)=

0

6 0
3 years ago
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