Answer:
(a)Attached
(b)69 degrees
(b)The ladder is safe
Step-by-step explanation:
(a)See attached diagram
The wall is length |AB| and the ladder is length |AC|
(b)
(c)Jamie wants the angle of the ladder makes with the ground to be no greater than 75 degrees for safety reasons.
Since the angle formed between the ground and the ladder (69 degrees) is less than 75 degrees, the ladder is safe the way it is positioned.
Answer:
a) 9 / 200
b) 13 / 100
Step-by-step explanation:
a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.
Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).
There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10 = 9 / 200
b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.
There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100
Answer: $68.46
Step-by-step explanation: You just have to multiply 4.89 by 14 to get the answer.
Answer:
Step-by-step explanation:
<em>Note all arguments of trigonometric functions are in degrees.</em>
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Since tan(35)=4/(longer dotted leg of the triangle), the length of this longer dotted leg is thus 4/tan(35).
Since A=bh, the area is (4/tan35)(12), and you can just plug this into a calculator.
Answer:
x=4
Step-by-step explanation:
-3x+12-12=x-4-12
-3x=x-16
-3x-x=x-16-x
-4x=-16
-4 divided by -16
x=4
