Answer:
Step-by-step explanation:
Answer:
length = 18 mt
Width = 10 mt
Step-by-step explanation:
Let the length of the field be x
width of the field be y
Hence
P=2(x+y)
P=56 (given)
56=2(x+y)
Dividing both sides by 2 we get
x+y=28 ---(A)
Also given that width of the parallelogram is 8 meters less than its length
Hence
y=x-8
or x-y=8 ---(B)
Adding A and B
2x=36
x=18
y=x-8
y=18-8=10
Hence length = 18 mt
Width = 10 mt
Answer:

Step-by-step explanation:
The volume of a cone with radius
and height
is equal to
.
What we're given:
- Since radius is half the diameter,
is
- Height of
Substituting given values, we get:

Convert to fluid ounces using the conversion given in the question:

Answer:
x=4 and y=(-6)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
3 tiles will not fit together.
Step-by-step explanation:
Measure of an Interior angle of a polygon = 
Here, n = number of sides of the polygon
Therefore, measure of the interior angles of a regular hexagon,
A = 
A = 120°
Similarly, interior angle of the regular pentagon,
B = 
B = 108°
Now m∠A + m∠B + m∠C = 360°
m∠C = 360° - (120° + 108°)
= 132°
To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.
D = 
D = 135°
m∠C ≠ m∠D
Therefore, 3 tiles will not fit together.