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.
Answer:
23,200
Step-by-step explanation:
percentage of vote in favor of Azeem = 42
Since total percentage is 100
and Hamza got remaining percentage points
it can be calculated by subtracting Azeem's percentage of vote from total percentage
mathematically we have
percentage of vote in favor of Hamza = total percentage of vote - percentage of vote in favor of Azeem = 100 - 42 = 58
Therefore Hamza got 58% votes
Total no of votes cast as given in problem = 40,000
Vote for Hamza = 58% of total votes = 58% of 40000
=>Vote for Hamza = (58/100) * 40000 = 23,200.
Votes obtained by hamza is 23,200
Answer:
The area is about 153.938
Step-by-step explanation:
To find the area of a circle, you have the equation
πr squared
the diameter is 14, so the radius is 7.
pi 7 squared is equal to about 153.938
Please Thank me, Rate, And mark as brainliest if you want!
;)
Answer:
Step-by-step explanation:
The line passes through the origin has an equation y = mx
m - slope
The formula of a slope of a line passes through the origin
and a point (x, y):
We have the point (6, 8). Substitute:
Finally:
