Answer:
The vertical distance the ant have to walk is 8 units
Step-by-step explanation:
∵ The ant must be walk vertically and horizontally
∴ The distance from start point to end point will be as
a hypotenuse of a right angle triangle
∵ The ant would have to walk 6 units horizontally that
means one side of the right angle is 6 units
∵ The two points are apart by 10 units that means
the length of the hypotenuse is 10 units
∴ The vertical distance the ant would have to walk is
the length of the second side of the right angle
* By using Pythagoras Theorem:
∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²
∴ 10² = 6² + (vertical leg)²
∵ (vertical leg)² = 100 - 36 = 64
∴ Vertical leg = √64 = 8 units
∴ The vertical distance the ant have to walk is 8 units
Step-by-step explanation:
2x - y = 11 -----(1)
x + 3y = -5 ------(2)
By
eliminating "y"
multiple equation 1 by 3 and equation 2 by 1
3×2x - 3y = 3×11
6x - 3y = 33 -----(3)
x + 3y = -5 ------(2)
add eqn (3) and eqn(2)
7x + 0 = 28
7x/7 = 28/7
x = 4
I hope this will help you, good luck!!!
Answer:
Step-by-step explanation:
tan61=FD/24
FD=24tan61
tan19=DE/FD
DE=FDtan19, since FD=24tan61
DE=(24tan61)(tan19) (exact)
DE=14.9 units (rounded to nearst tenth)
Though they might round to 15 units...
Answer:
-9.
The product of -9 and -8 is 72.
Step-by-step explanation:
Product means the answer of a multiplication, so we're given 72 and -8.
We can solve this by using inverse operations.
The inverse operation of multiplication is division, so we divide 72÷ -8
This will give us -9.
Answer:
see explanation
Step-by-step explanation:
The terms form a geometric sequence with n th term
= a 
where a is the first term and r the common ratio
r = 
= 
= ......
r = 
= 
= - 2 and a = 3, hence
= 3 
← explicit formula
