Answer:
t = 25.05761543°
Step-by-step explanation:
sin (x) = 36/85 = 0.423529412
sin (x) = 0.423529412
x = sin^-1(0.423529412)
x = 25.05761543°
Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
<h3>Variation</h3>
y = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
y = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
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Answer:
B
Step-by-step explanation:
Because the numbers are less than 45 and more than 40
Answer:
0.9375
Step-by-step explanation:
Given the following :
Number of coin tosses = 7
Probability that number of heads obtained will be between 2 and 7 inclusive?
x = 2,3,4,5,6,7
Probability (P) = number of required outcomes / total possible outcomes
For a coin toss = 1 Head (H), 1 tail (T)
P(H) = 1 / 2
P(X) = C(7,x) * (1/2)^7
P(X) = C(7, x) / 0.5^-7
P(X) = [C(7,2) + C(7, 3)+ C(7,4) +C(7,5) + C(7,6) +C(7,7)] / 128
P(X) = (21 + 35 + 35 + 21 + 7 + 1) / 128
P(X) = 120 / 128
P(X) = 0.9375
The power(P) of the circuits is the product of the voltage (V) in volts and current(I) in amperes.
P = IV
Substituting the known values to the equation,
P = (250 amps) x (40 volts) = 10,000 Watts
Thus, the answer is 10,000 Watts.
