Answer:
x + 6
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of rectangle = 3x + 6
Width of rectangle = 4x – 1
Width of door =..?
A careful observation of the diagram shows that the door is located along the length of rectangular room.
In a rectangle, two sides are equal. Therefore,
x + door + x = 3x + 6
Making door subject of the above formula, we have:
x + door + x = 3x + 6
door + x + x = 3x + 6
door + 2x = 3x + 6
Subtract 2x from both side
door + 2x – 2x = 3x + 6 – 2x
door = 3x – 2x + 6
door = x + 6
Therefore, the width of the door is x + 6
The correct answer is: x < 1.25
To solve this, we following the same steps as when solving inequalities. We just have to remember to reverse the sign if we multiply or divide by a negative number.
-1.2x - 8.2 > -9.7
-1.2x > -1.5
x < 1.25
Recall that
cos(A + B) = cos(A) cos(B) - sin(A) sin(B)
sin(A + B) = sin(A) cos(B) + cos(A) sin(B)
By definition of cotangent,
cot(A + B) = 1 / tan(A + B) = cos(A + B) / sin(A + B)
and by applying the identities above,
cot(A + B) = (cos(A) cos(B) - sin(A) sin(B)) / (sin(A) cos(B) + cos(A) sin(B))
Now, multiply the expression on the right by 1/(sin(A) sin(B)) to get
cot(A + B) = (cot(A) cot(B) - 1) / (cot(B) + cot(A))
Given tan(A) = 1/4 and tan(B) = 1/5, we have cot(A) = 4 and cot(B) = 5, so that
cot(A + B) = (4×5 - 1) / (5 + 4) = 19/9
Answer: The slope should be 2/3
Step-by-step explanation: Slope is rise over run. Remember you always rise before you run. So in this case you start at the origin and go up until you get to the point on the line where the line is centered. You go up 3 times and thats where the first actual point is. Then move to the side until you get to the line which is 2 to the right. so therefore your answer is 3/2
The periods of most of the numbers we routinely deal with are ...
trillions, billions, millions, thousands, ones.
The period containing 913 in your number is the "thousands" period.