Answer:
x = 21
Step-by-step explanation:
If RECT is a rectangle, each of its interior angles are right angles, 90°. Since ∠RTC is split into two angles, the sum of the two angles must be 90°. (Angles that add to 90° are called complementary angles).
∠RTC = ∠RTE + ∠ETC Formula for complementary angles
90 = 2x + 6 + 42 Substitute the angles
90 = 2x + 48 Combined like terms to simplify
Now isolate "x" to solve
90 - 48 = 2x + 48 - 48 Subtract 48 from both sides
42 = 2x
42/2 = 2x/2 Divide both sides by 2
x = 21
Therefore x is 21.
Answer:
75
Step-by-step explanation:
Given That :
Operation cost = $2250 per month
Purchase price per bike = $40
Average selling price per bike = $70
How many bicycles must the store sell each month to break even ;
Break even point = point at which there is net profit / loss = 0
Let number of bicycles store must sell = x
Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles
2250 + 40x = 70x
2250 = 70x - 40x
2250 = 30x
x = 2250 / 30
x = 75
To break even 75 bicycles must be sold
Answer:
C. 0.077
Step-by-step explanation:
Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 10, r = 4, p = 0.64, q = 0.36.
P = ₁₀C₄ (0.64)⁴ (0.36)⁶
P = 210 (0.64)⁴ (0.36)⁶
P = 0.077
44 identical red wooden blocks can be arranged in 44! ways
99 identical white wooden blocks can be arranged in 99! Ways
If the 44 red blocks and the 99 white blocks are to be
stacked on top of one another, the number of different color patterns that can
result = 44! x 99!
44! = 2.65827157 x 10^54
99! = 9.33262154 x 10^155
44! x 99! = 2.48086426 x 10^210
Therefore, 2.48086426 x 10^210 different color patterns can result
Answer:
The simplified expression is:
Step-by-step explanation:
We have those following logarithmic properties:
In this problem, we have that:
Applying these properties
