If the ratio of miles is
.. mr : mrs = 3 : 1
The total number of "ratio units" is 3+1 = 4, so each one stands for 3200/4 = 800 miles.
Mr Storey drove 3*800 = 2400 miles
Mrs Storey drove 1*800 = 800 miles
To answer, allow the width of the frame to be represented by x. The dimensions of the frame should then be, 11+2x and 6+2x. Subtracting the area of the inside of the frame from the area of the outside should be able to give us 18 cm². The equation,
(11 + 2x)(6 + 2x) - (11)(6) = 18
The value of x from the equation is equal to 0.5. Thus, the width of the frame should be 0.5 cm.
Answer:
X= 12
Step-by-step explanation:
Simplifying
4x + -2 = 46
Reorder the terms:
-2 + 4x = 46
Solving
-2 + 4x = 46
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 4x = 46 + 2
Combine like terms: -2 + 2 = 0
0 + 4x = 46 + 2
4x = 46 + 2
Combine like terms: 46 + 2 = 48
4x = 48
Divide each side by '4'.
x = 12
Simplifying
x = 12
Answer:
Below.
Step-by-step explanation:
I'll write sin x as s and cos x as c so we have:
(1 + s +c)/(1 + s - c) = (1 + c)/s
Cross multiplying:
s + s^2 + cs = 1 + s - c + c + cs - c^2
s + s^2 + cs = 1 + s + cs - c^2
s^2 + c^2 + s - s + cs - cs = 1
s^2 + c^2 = 1.
- that is sin^2 x + cos^2 x = 1 which is a known identity.
Therefore the original identity is proved.
The population will be 56,275 people.
You can see the picture for the formula.
