Answer:
-3.
Step-by-step explanation:
-5 1/2 + 6 3/4 + (-4 1/4) =
= -11/2 + 27/4 - 17/4
= -22/4 + 27/4 - 17/4
= 5/4 - 17/4
= -12/4
= -3.
Step-by-step explanation:
two vertical vectors one with upward direction and 150 units and one with downward direction of 120 units,
the resultant of the vectors = 150-120 = 30 units
with upward direction.
Answer:
£34.45
Step-by-step explanation:
Paul,colin and brian are waiters. One night the restaurant earns tips totalling £77.50.They share the tips in the ratio 1:3:5.
The sum of their Proportion is
1 + 3 + 5 = 9
For Brain
5/9 × £77.50 = £43.06
For Paul
1/9 × £77.50 = £8.61
Hence:
How much more does brian get over Paul?
This is calculated as:
£43.06 - £8.61
= £34.45
Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)
W
----------
| |
| |
| | L = w+3
| |
| |
-----------
A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)
Need to solve this quadratic equation
w2 + 3y - 108 = 0
Factor:
(w - 9) (w + 12) = 0
So
w - 9 = 0. or. w + 12 = 0
Solve these and get
w = 9. or. w = -12
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 9 inches
Length = 12 inches
Answer:
scalene triangle
Step-by-step explanation: