Answer:
1/1 because you go up 1 and over 1
3 meters below sea level represents a -3
From -3 to 0 is 3
3 + 5 above sea level = 8 meters
There are 8 meters between the house and the school
Answer: 100 - 24x
Step-by-step explanation:
The formula for calculating the perimeter of a square is given by :
P = 4l , where l is the length of the side.
Perimeter of square A will be
P = 4 ( 2x - 7 )
P = 8x - 28
Perimeter of square B will be ;
P = 4 ( -4x + 18 )
P = - 16x + 72
Perimeter of square B - Perimeter of square A implies
-16x + 72 - ( 8x - 28 )
-16x + 72 - 8x + 28
collecting the like terms
-16x - 8x + 72 + 28
-24x + 100
⇒ 100 - 24x
Answer:
C. 500 + 300 + 50 + 10 + 7
Step-by-step explanation:
Which expression represents the number 867?
A. 80 + 60 + 70
B. 800 + 6 + 7
C. 500 + 300 + 50 + 10 + 7
D. 500 + 300 + 60 + 70
Checking the answer choices by adding the expression
A. 80 + 60 + 70
= 210
No correct
B. 800 + 6 + 7
= 813
Not correct
C. 500 + 300 + 50 + 10 + 7
= 867
Correct
D. 500 + 300 + 60 + 70
= 930
Not correct
Therefore option C. 500 + 300 + 50 + 10 + 7 is the correct answer
Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2(
) = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.
