Answer:
KM = 7 Units
Step-by-step explanation:
In the given structure ΔKLM
∠KLM = 30° and side KL = 14 and ∠KML = 90°
and we have to find the measurement of KM.
From right angle triangle KLM
Side Sin30° = KM/KL = KM/14
KM = 14×sin30° = 14×1/2 = 7
So the answer is KM = 7 Units
Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
<u><em></em></u>
Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

Answer:
500 pennies
Step-by-step explanation:
Given that
Carmen saved 592 pennies.
Her sister saved 128 pennies.
Together, they put 250 pennies in wrappers and took them to the bank
We need to find out the total number of pennies Carmen and her sister have left
So,
= 592 pennies + 128 pennies - 250 pennies
= 470 pennies
= 500 pennies
I know this solution but I don't know how I send you the answer....
Answer:
if the diagonals of a parallelogram are congruent, then it's a rectangle (neither the reverse of the definition nor the converse of a property). If a parallelogram contains a right angle, then it's a rectangle (neither the reverse of the definition nor the converse of a property).
Step-by-step explanation: