The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, What was the final temperature?

Mathematics

1 answer:

Mars2501 [29]3 years ago

3 0

Answer:

Step-by-step explanation:

15-10=5 degrees

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Answer:

r=1

Step-by-step explanation:

First we need to know the length of each side of the triangle, so we use the formula of the vector modulus:

$|AB|= \sqrt{(b_{1}-a_{1})^{2}+(b_{2}-a_{2})^{2}+(b_{3}-a_{3})^{2}$

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With this we know that the triangle is not right, but, we assume the longest side as the hypotenuse of the problem.

As we have two equal sides, we know that the line between point |AB| and the center of the hypotenuse is perpendicular, therefore, we can calculate it using Pythagoras theorem:

$|BC|^{2}=r^{2}+(\frac{|AC|}{2})^{2}\\\\r^{2}=|BC|^{2}-(\frac{|AC|}{2})^{2}\\\\r^{2}=(\sqrt{6})^{2}- (\frac{2\sqrt{5}}{2})^{2}\\\\r^{2}=6-5=1\\r=1$

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What is the radius of a circle whose equation is x2 y2 – 10x 6y 18 = 0?

HACTEHA [7]

Hello,

x²+y²-10x+6y+18=0
==>(x²-2*5x+25)+(y²+2*3y+9)+18-25-9=0
==>(x-5)²+(y+3)²=16

Radius is 4.
Center (5,-3)

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The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, What was the final temperature?​

The temperature dropped 15 degrees in an hour. If the starting temperature was 10 degrees, What was the final temperature?