KT is twice the length of TM.
Multiply TM by 2:
TM = 2y +6
Now set KT and TM to equal and solve:
5y +3 = 2y +6
Subtract 3 from each side:
5y = 2y +3
Subtract 2y from each side:
3y = 3
Divide both sides by 3:
y = 3/3
y = 1
The answer is C.
Answer:
B
Step-by-step explanation:
Since its changing the y, we now it has to be outside the x. So its not A or D. Since it moves up, its a plus. This means its not c, so it has to be B.
Answer:
80m^3
Step-by-step explanation:
Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario 
and 
.
Therefore, offices can be filled in 11,880 different ways.
