Answer:
3 / 8
Step-by-step explanation:
From the tree diagram provided :
Required outcome = atleast two consecutive tails :
(HTT) ; (TTH) ; (TTT) = 3
TOTAL POSSIBLE OUTCOMES = 8
PROBABILITY = REQUIRED OUTCOME / TOTAL POSSIBLE OUTCOMES
HENCE ;
P(ATLEAST TWO TAILS IN A ROW) = 3 / 8
Answer:18432
Step-by-step explanation:
Answer:
- 78.33°
- 71°
Step-by-step explanation:
1) The sum of angles in a triangle is 180°, so ...
(x +3)° +(x +24)° +(x -10)° = 180°
3x +17 = 180 . . . . . . . . divide by °, collect terms
3x = 163 . . . . . . . . . . . .subtract 17
x = 54 1/3 . . . . . . . . . . .divide by 3
m∠B = (x +24)° = (54 1/3 + 24)°
m∠B ≈ 78.33°
__
2) An exterior angle is equal to the sum of the opposite interior angles.
m∠ACD = m∠A + m∠B
(3x -10)° = (x +9)° + 105°
2x = 124 . . . . . . . . . . . . . . divide by °, add 10-x to both sides
x = 62 . . . . . . . . . . . . . . . . divide by 2
m∠A = (x +9)° = (62 +9)°
m∠A = 71°
Answer:
140
Step-by-step explanation:
we know that this year the sports club has 25% less memeber, so if last year the members where 100% this year there are only 75%
and that 75% is equal to 105 members
we can represent the information that we are given in a table:
memebers percentage
105 ⇒ 75%
since last summer there were the 100% of member we can represent the number of members from last summer with 'x', and the table now is:
memebers percentage
105 ⇒ 75%
x ⇒ 100%
and we use rule of three to solve this problem: multiply cross quantities (105 by 100) and divide by the remaining amount:
x = 105*100/75
x = 140
Last summer the sports club had 140 members
The area of the top part would be about 201.06. (pi r squared)
