Answer is 14.14
Reason
Using Pythagorean theory
a^2 + b^2 = c^2
The two legs are a and b, the longest diagonal opposite the right angle is c
10^2 + 10^2 = c^2
200 = c^2
Take square root of both sides
14.14 = c
The probability that the next customer will pay with cash is 0.76
<h3>What is the probability?</h3>
Formula to find the probability of an event is:
P(A) = n(A)/n(S)
where;
n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment/survey
We are given that;
45 customers paid cash
8 customers used a debit card
6 customers used a credit card.
Thus, the total number of customers:
n(S) = 45 + 8 + 6
n(S) = 59
Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45
Therefore, the probability that the next customer will pay with cash would be;
P(A) = n(A)/n(S)
P(A) = 45/59
P(A) = 0.76
Read more about Probability at; brainly.com/question/23047865
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OK, let's try with no figure. We have an isosceles triangle sides s,s, and b.
Opposite b is angle t.
Draw the altitude h to bisect t. We have two right triangles, legs b/2 and h, hypotenuse s. The angle opposite b/2 is t/2 so
sin(t/2) = (b/2)/s = b/2s
So we arrived at the first part,
b = 2s sin(t/2)
The area of a triangle with sides s,s and included angle t is
A = (1/2) s² sin t
Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
Divide both sides by 55.
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
