Answer:
c. 1/2
Step-by-step explanation:
7 out of 14 contestants did last time, which is 1/2 of the contestants. You would assume that the same proportion would qualify when there are 10 contestants, so you would assume that 1/2 of 10 would also qualify for the bonus round.
Area of shaded portion = area of circle 1 - circle 2
Pi r*2 - pi R*2 =
Pi (r*2 -R *2 ) = 9*2 - 5*2 = (pi)81- 25= 56 x 3 = 168
Answer:
8 inches cubed
Step-by-step explanation:
We get the formula in the task description:
V = s^3
The next sentence tells us s = 2in, so:
V = (2in)^3 = 8in^3
Answer:
DC = 10.93 cm , AC = 9.8 cm
Step-by-step explanation:
From trigonometry;
⇒ Tan 60 = AB/BD
⇒AB = BD Tan 60 ( where BD = 4 cm )
⇒ AB = 6.93 cm
Also, AB=BC , therefore;
⇒ BC = 6.93 cm
⇒ Cos 60 = BD/AD
⇒ AD = BD/ Cos 60 = 4/Cos 60
⇒ AD = 8 cm
From Pythagoras theorem;
⇒
=
+
=
+ 
⇒ AC =
= 9.80 cm
⇒ DC = BD + BC = 4 + 6.93
⇒ DC = 10.93 cm
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years