Answer:
yes.
Step-by-step explanation:
to find this answer, use the pythagoras theorem. the pythagoras theorem states that a² + b² = c².
to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.
we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.
calculation:
a² + b² = c²
a = 8 millimetres
b = 15 millilitres
c = ?
8² + 15² = c²
64 + 225 = c²
64 + 225 = 289.
289 = c²
√289 = c
√289 = 17.
the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.
Answer:
The Cylinder with a diameter of 6 cm and height of 2 cm will hold the water
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes.
To describe which figures could hold water we must first calculate their volumes and compare each
the volume of the given cylinder
With diameter = 3cm
Radius = 3/2= 1.5cm
Height = 8cm
Volume of cylinder = πr²h
= 3.142*(1.5)²*8
=7.0695*8
=56.56cm³
Firstly let us calculate the volume of sphere
Given radius r= 2cm
V= 4/3πr³
V= 4/3*3.142*(2)³
V= 100.544/3
V= 33.5cm³
Since the volume is small compared to the cylinder it can't hold the water
Secondly let us calculate the volume of the cylinder
With diameter 6cm
Radius r= 6/2= 3cm
Height 2cm
Volume = πr²h
V= 3.142*3²*2
V= 56.56cm³
Since the volume compared with the cylinder is equal it can hold the water
Let's use the variable x to represent the number.
3x+12-5x=22
Combine like terms
-2x+12=22
Subtract 12 from both sides
-2x=10
Divide both sides by -2
x=-5
Final answer: The number is -5
Answer is (4,3)
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Add up the x coordinates to get 9+(-1) = 8. Divide this over two and we end up with 8/2 = 4
Repeat for the y coordinates: 9+(-3) = 6, which cuts in half to get 6/2 = 3
The midpoint is at (4,3)
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The midpoint formula is
where (x1,y1) and (x2,y2) are the endpoints.