Answer:
Option B.
Step-by-step explanation:
The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).
We need to find the coordinates of triangle when it is translated two units left.
So, the rule of translation is
Using this rule, we get
The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).
Therefore, the correct option is B.
When 2(y^2) + 8 is divided by 2y + 4 is equal to (y - 2) + (16 / (2y + 4)). The
expression represents the quotient is the 2y + 4. While the expression
represent the remainder is 16 / (2y + 4). The remainder of the given expression
can also be solve using the remainder theorem.
Answer:
4a)= 2.1m 4b)= 1.9 m 5)= 29.6º
Step-by-step explanation:
4a):
x is the opp
AB is the hyp
BC is the adj
thus,
sin32 = x/4
cross multiply, x= 4*sin32
x= 2.1196.......
x=2.1 m
4b).
x is the hyp
ac is the opp
bc is the adj
thus,
cos65=4.5/x
cross multiply, x= 4.5*cos65
x=1.9017....
x=1.9 m
5).
AB is the opp
bc is the adj
ac is the hyp
thus:
tanC= 2.1/3.7
C= tan^-1 (2.1/3.7)
C= 29.5778.....
C= 29.6º
Answer:
The larger trampoline is larger in area by 75.36 feet²
Step-by-step explanation:
There are two trampolines here; the larger and the smaller one.
The trampoline's area can be found using the area of a circle which is πr² or πd²/4, where "r" and "d" represent radius and diameter respectively.
Here we will let D be <em>the diameter of the larger trampoline</em> and d should be taken as <em>the diameter of the smaller trampoline</em>.
So, the difference in area will be πD²/4 - πd²/4 = π/4 (D² - d²), where π is given as 3.14.
So, the area difference =
× (14² - 10²) =
× (196 - 100) =
× (96) = 75.36 feet²