Answer:
100 toys in 8 hours
Step-by-step explanation:
10x5=50 (4 hours)
THEN
50x2=100 (8 hours)
Answer:
6/20 = 3/10
Step-by-step explanation:
Her brother gets the first treat. There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.
Maggie gets the second treat. There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.
Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10
Answer:
b = 
Step-by-step explanation:
The standard form of the sine is
y = asin(bx + c) + d
where | a | is the amplitude, period = 
c is the phase shift and d the vertical shift
Here period = 15, thus
= 15 ( multiply both sides by b )
15b = 2π ( divide both sides by 15 )
b =
Answer:
65º
Step-by-step explanation:
- The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
- The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
- We can solve from there, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 230, -2x=-50
- Divide by -2, x=25
- m∠CAB=(x+40)º=(25+40)º=65º
- m∠ABC=(180-6x)º=(180-150)º=30º
- m∠BCA=(3x+10)º=(75+10)º=85º
Answer: 43 degrees
Step-by-step explanation:
cos A = 8/11
cos-1 = 43.3417
