Answer:
84
Step-by-step explanation:
el 10% de 120= 12. 120-12= 108
el 20% de 120=24. 120-24=96
el 30% de 120=36. 120-36=84
el 40% de 120=48. 120-48=72
el 50% de 120=60. 120-60=60
Answer:
We have the ration:
3:5:7
This means that, if they receive $15, then:
Person A will get $3
Person B will get $5
Person C will get $10
Let's then define the amount of money shared as:
Amount = K*$15
where we want to find the number K.
In this scenario, each they will get:
Person A : $3*K
Person B: $5*K
Person C: $7*K
Now, we know that one of them gets "10 more than the other"
(The problem here is that we do not know exactly who receives more than who, i will suppose that person B receives $10 more than person A)
then we can have:
$5*K = $10 + $3*K
solving this for K, we have:
$5*K - $3*K = $10
$2*K = $10
K = $10/$2 = 5
Then the amount shared, in this situation, is:
Amount = K*$15 = 5*$15 = $75.
160/9 or in decimal form it is 17.7 and the 7 repeats
Cos 157.5º=-cos (180º-157.5º)=-cos 22.5=-cos(45/2)
cos Ф/2=⁺₋√((1+cosФ)/2).
In this case 157.5º is in the second quadrant, therefore we use the following equation:
cos Ф/2=-√((1+cosФ)/2). (we will have a negative number)
cos 157.5º=-cos (45/2)=-√((1+cos 45º)/2)
=-√((1+√2/2)/2)
=-√((2+√2)/4)
=-√(2+√2) / 2 (≈-0.92387...)
Answer: cos 157.5º= -√(2+√2) / 2
Answer:
2 hours
Step-by-step explanation:
Given the following :
Darryl :
Speed = 25mph
Jacob:
Traveled in opposite direction
Speed = 35mph
After Darryl had traveled for 4 hours, Distance between them was 170 miles
Distance traveled by Darryl :
Speed * time = (25 * 4) = 100 miles
Total distance = distance traveled by Darryl + distance traveled by Jacob
170 miles = 100 miles + distance traveled by jacob
Distance traveled by Jacob = 170 - 100
Distance traveled by Jacob = 70 miles
Time = distance / speed
Time traveled by Jacob = 70 miles / 35mph
Time traveled by Jacob = 2 hours
