Answer: 17
Step-by-step explanation:
i just guessed
We can assign variables to each side:
x = first side
y = second side
z = third side
We will assume the "one side" that is greater than the second side is the first side. Since it is "2 times the second side" we can write this as:
x = 2y
Since the third side is 5ft longer than the second side, we can write this as:
y + 5 = z
Perimeter of the triangle (49ft):
x + y + z = 49
We can substitute everything we know.
(2y) + y + (y + 5) = 49
4y + 5 = 49
4y = 44
y = 11
Now we can solve for the other sides with what we have for y.
x = 2(11)
x = 22
11 + 5 = z
16 = z
Add to check.
22 + 11 + 16
33 + 16
49
Therefore, the side lengths are [ 22, 11, and 16 ]
Best of Luck!
Answer:
a) 184cm³ b) 15.3cm³
Step-by-step explanation:
A) Vol. of block of cheese= L×B×H= 8cm×4cm×6cm= 192cm³
Piece of cheese cut out= S×S×S= 2cm×2cm×2cm= 8cm³
Remainder= 192cm³ - 8cm³ = 184cm³
B) Remainder = 184cm³ is cut into 12 equal pieces
Each pieces = 184cm³ ÷ 12 = 15.3cm³
Angle to the top of the building or base of the tower = 36 degrees
Angle to the top of the radio tower on the building = 46 degrees
Distance from the base at which the surveyor is standing = 67 meters
Let us assume the distance of the base of the tower from the surveyor = x1
Let us assume the distance of the top of the tower from the surveyor = x2
Then
tan(36) = x1/67
x1 = 67 tan(36)
and
tan(46) - x2/67
x2 = 67 tan(46)
Now
x2 - x1 = 67 tan(46) - 67 tan(36)
= 20.702
= 20.7 m
From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the second option or option "b".