We assume the base is 12 in × 20 in, so its diagonal has length
... √(12² +20²) = √(144 +400) = √544 = 4√34 . . . inches
Then the tangent of the angle of interest is the ratio of the box height to the base diagonal:
... tan(α) = (7 in)/(4√34 in) ≈ 0.300123
The angle will be the arctangent of this value,
... α = arctan(7/√544) ≈ 0.291569 radians
3/4 = 0.75 or 75%. So you need to find 75% of 200... Simply multiply 0.75 or 3/4 by 200 and you will get your answer... (0.75)(200) = 150....
You could also realize with this problem that 3/4 of 200 is 150 because 50 goes into 200 4 times. 50 = 1/4, 100 = 2/4 = 1/2, 150 = 3/4 & 200 = 4/4 = 1.
Answer: one dollar and 56 cents
Step-by-step explanation:
11 cents= one peny is one cent
6 dimes= 60 cents, one dime is 10 cents
3 qurters= 75 cents, one quaters is 25 cents
2 nicales= 10 cents, one nicale is 5 cents
one dollar is 100 cents
Answer: a. 0.4 × 0.15 = 0.060
Step-by-step explanation: Probability of the complement of an event is the one that is not part of the event.
For P(A):
P(A') = 1 - 0.6
P(A') = 0.4
For P(B):
P(B') = 1 - 0.85
P(B') = 0.15
To determine probability of A' and B':
P(A' and B') = P(A')*P(B')
P(A' and B') = 0.4*0.15
P(A' and B') = 0.06
<u>Probability of the complement of the event is 0.060</u>
