Answer:
Step-by-step explanation:
we can say the angle is also +45° going in the clock wise direction. so take Tan(45)= 1
Cot(45) = 1
b/c Tan(45) = Sin(45) /Cos(45) = (/2) / (/2) ofc that's just 1
b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Answer:
Eight and Eight Thousandths
Step-by-step explanation:
Answer:
Slope of AB = 3
line p: y = 3x - 10
see attached for graph
Step-by-step explanation:
Given vertices:
- A = (1, 1)
- B = (2, 4)
- C = (4, 2)
<u>Slope of AB</u>
<u>Equation of line p</u>
Use point C (4, 2) and the slope of AB in the point-slope form of a linear equation, then simplify to slope-intercept form:
<span>(5y² − 7)³ / (2y)²
</span><span>The cube of the difference of 5 times the square of y and 7 is (5y² -7)³.
</span><span>Square of (2 times(*) y) is </span> (2y)².
So, the answer is <span>A. the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.</span>