Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
Answer:
.903089987
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that:
Batting average = 0.25 after 160 times at bat;
Batting Average = Number of hits / number of times at bat
0.25 = number of hits / 160
Number of hits = 0.25 * 160 = 40
He want batting average to improve to 0.333 ; if he makes hit the next x times at bat ; number of hits is needed to improve batting average
Hence,
New average = number of hits / number of times at bat
0.333 = (number of hits + x) / (160 + x)
0.333 = (40 + x) / (160 + x)
The value of x from the given equation is 6
<h3>Solving linear equation</h3>
Linear equation are equation that has a leading degree of 1. A linear expression is given as y =ax + b
Given the linear equation below;
7x = 42
We are to determine the value of x
Divide both sides by 7
7x/7 = 42/7
x = 6
Hence the value of x from the given equation is 6
Learn more on linear equation here: brainly.com/question/2030026
#SPJ1
Answer: x/y that is distance/ speed which is the formula for time
Step-by-step explanation:
