Answer:
There are 80 marks in total.
Step-by-step explanation:
Let the number of total marks be 
.
The percentage score of the student can be written as the ratio
.
However,
.
Equating the two:
.
Cross-multiply (that is: multiple both sides by 
, the product of the two denominators) to get
.
.
In other words, there are 80 marks in total.
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5) × (4.1)
-4.8 × (4.1)
-19.68
Answer:
90°
Step-by-step explanation:
since PQ is the diameter of the circle, m <em>L</em><em> </em>PRQ = ½ × 180° = 90°.
so, as a supplementary to <em>L</em><em> </em>PRQ, the value of angle QRS = 180 - m <em>L</em><em> </em>PRQ = 180-90 =90°
