Answer: 1)100ways and 2)90ways
Step-by-step explanation:
Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)
=10×10=100ways
Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)
=10×9=90ways
Answer:
x4−5x3−6x2+26x+20
Step-by-step explanation:
(x−5)(x3−6x−4)
=(x+−5)(x3+−6x+−4)
=(x)(x3)+(x)(−6x)+(x)(−4)+(−5)(x3)+(−5)(−6x)+(−5)(−4)
=x4−6x2−4x−5x3+30x+20
=x4−5x3−6x2+26x+20
Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
Answer:
y=4/5x
Step-by-step explanation:
y=mx+b
plug in y and x into each equation and solve!
4=5m+b
8=10m+b
4=5m
m=4/5
b=0
y=4/5x+0
