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.
She either didn't have legs or never did long jump.
Answer:
158.4 pounds
Step-by-step explanation:
first find the volume of the tank


to convert this to m^3 we know that 1m = 100cm


the cm^3 cancel out.


by simply converting the side-lengths to meters beforehand can give you this answer directly:

it is given that 1 meter cube of water weighs about 2200 pounds.

multiply both sides with 0.072 to find our answer:


hence the weight of the water in the tank would be 158.4 pounds!
Answer:
A
Step-by-step explanation:
$355:5
$355 divided by 5=$71
5 divided by 5=1
$71 per week
$71x15.5=$1,100.50
$1,100.50 in 15.5 weeks
Mike is 29.
5+2x+x=41
5+3x=41
3x=36
x=12
5+2x=Mike’s Age
5+2(12)= Mike’s Age
29= Mike’s Age