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slamgirl [31]
3 years ago
9

How many vertices does a triangular prism have? 04 O 5 06 09

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

It has 6 vertices. As what you listed 06.

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E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))
olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}

Then we have

\rm \triangledown T =  \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \triangledownT. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0
2 years ago
Simplify 5/12 x 1/12<br>A. 1/5<br>B. 5/144<br>C. 12/60<br>D. 5​
amm1812

Answer:

B. 5/144

5 can't go in 144 evenly. so its leading to 5/144

3 0
3 years ago
Read 2 more answers
Given m∠B = 62, m∠C = 54 and line AD bisects ∠BAC, find m∠ADB
insens350 [35]
THE ANSWER IS: 86 degrees

first find the measure of angle a: since all angles of a triangle add up to 180, add the measures of angle b and angle c then subtract it from 180 to get angle a: 62+54=116, 180-116=64

since we know line AD bisects angle a, we can divide 64 degrees by 2 to find angle BAD: which is 32 degrees

then subtract both 62 and 32 from 180 to get 86 degrees for angle ADB

8 0
3 years ago
A method of estimating the number of people participating in a march is to assign someone to a spot on the sidewalk with the job
tatuchka [14]

Answer:

12500

Step-by-step explanation:

4 0
3 years ago
Multiply and write each product in the form y = ax2 + bx + c. Then identify a, b, and c.
-Dominant- [34]
7) y= x^2-4x
8) y= 2x^2-3x+1
9) y= 9x^2-4
3 0
4 years ago
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