use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
The number of small tiles are needed is 300 tiles.
<h3>Number of tiles needed</h3>
Using area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
Learn more about number of tiles needed here:brainly.com/question/2136390
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<h2>a) 16y</h2><h2>b) 8y</h2>
a) First, multiply the numbers 8 and 2, and we get 16.
Now, we have to multiply 16 and the algebraic notation “y”, we get the result of 16y.
<h3><u>
Whenever you multiply the number(s) with algebraic notations, you need to multiply the number(s) and write the algebraic notation at the end.</u></h3>
<u></u>
b) Multiply the number 8 and the algebraic notation “y”, and we get the result 8y.
<em>Hope this helps :)</em>
