From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:
where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that
which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
Volume= whl
W= 4 ft
H= 2ft
L= 5ft
Multiply all (40), then multiply by the three times it was full.
Answer: 120ft^3
Answer:
T(x, y) = (x - 5, y - 6)
Step-by-step explanation:
The transformation T is a translation that creates an image P' of original point P by adding 5 to the x-coordinate and 6 to the y-coordinate of the original point P.
Now you want to transform point P' into point P, so you are undoing the first transformation. You need to do the opposite of what the transformation above does. You need to subtract 5 from the x-coordinate and subtract 6 from the y-coordinate.
Answer: T(x, y) = (x - 5, y - 6)
Answer:
Step-by-step explanation:
volume of a cone is
V = ⅓πr²h
V = ⅓π(x/2)²x = ⅟₁₂πx³
1. It's a proportion...50 over 12.5 = h over 50 then cross multiply and divide
2. Another proportion 7over x = 2 over 6 then cross multiply and divide
