Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
123 centimeters into dekameters
0.123
10 centimeters = 1 decimeter
100 decimeters = 1 dekameter
Therefore, 100 centimeters = 10 decimeters = 0.1
23 centimeters = 2.3 decimeters = 0.023
0.1 + 0.023 = 0.123 dam
Suppose the length of each side of the cube is x, so the volume must be:
x^3.
If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3
Answer:
Rectangle
Step-by-step explanation:
The shape is of a rectangle who has got two pairs of opposite sides that are parallel and two pairs of sides that are of equal length of each other with all the four right angles that makes up total angle of 360 degrees in total. It can be acquired that the area which is equal to length multiply by breadth.
Calculation,
A length of the rectangle is equal to each other,
Assuming it to be 3cm,
Breadth of it is equal to each other,
Assuming that to be 2cm,
Length x Breadth = Area
3 x 2 = 6cm to the power 2.
Answer:
Step-by-step explanation:
for f(x):
0
2
2√2
4
for g(x):
2
2√2
2√3
2√5
for h(x):
4
6
4+2√2
8
