Answer:
6,840 casts
Step-by-step explanation:
Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):
There are 6,840 possible casts.
Answer:
B) 16
Step-by-step explanation:
We have h(t)=0, because the ball is on the ground.
So we have:
-8(2t-32)=0
2t-32=0
2t=32
t=16
It took 16 sec
Answer:
1. ∠A and ∠B are right angles. Given
2. m∠A = m∠ B All right angles are congruent.
3. ∠BEC≅ ∠AED Vertical angles are congruent
4. ΔCBE ~ ΔDAE AA
Step-by-step explanation:
A proof always begins with the givens.
1. ∠A and ∠B are right angles. -------------->Given
2. m∠A = m∠ B are equal since-----------> All right angles are congruent.
3. ∠BEC≅ ∠AED are also equal since---->Vertical angles are congruent
4. ΔCBE ~ ΔDAE since two angles are equal----------> AA
8c -c= 7c
7c+6=48
7c=42
c=6
CHECK:
8(6)-(6)+6=48
48-6=42
42+6=48
48=48
Answer:
0.56
Step-by-step explanation:
sin x
tan x is defined as -------------
cos x
and we can solve this for sin x: sin x = (cos x)(tan x)
which here is: sin x = 0.83(0.67) = 0.56 (rounded up from 0.5561)
