Answer:
There are 80 paperbacks on the shelf
Step-by-step explanation:
Multiply 2/3 by 120
So that would be:
2/3 x 120/1
(2 x 120)/(3x1)=240/3=80
Answer: Our required equation would be
Step-by-step explanation:
Since we have given that
y=30, when x = 6.
As there is direct proportion between x and y.
so, it becomes,
So, the equation connecting y and x would be
When we put the value of k, we get that
Hence, our required equation would be y=5x
Let the width = w.
The length is 6 times the width, so the length is 6w.
The perimeter is 70.
P = 2L + 2W
70 = 2(6w) + 2(w)
70 = 12w + 4w
70 = 14w
5 = w
The width is 5.
The length is 6 times the width, so the length is 6 * 5 = 30
Area of rectangle = LW
A = 5 * 30 = 150
Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>
125/186 cannot be simplified. It is already in simplest form.
