A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burne
2 answers:
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<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting , the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
Dividing, we get;
Taking on both sides of the equation, we get;
Rounding off to the nearest whole integer, we get;
Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
-I₁ + I₂ + I₃ = 0
I₁ = I₂ + I₃
Step-by-step explanation:
The image of the circuit is obtained online and attached to the question.
The junction rule is essentially a law of conservation of current (charges). It applies to electrical circuits at steady state.
It explains that the for any given junction (node in an electrical circuit), the sum of current entering the junction is equal to the sum of current leaving the junction. That is, the net sum of current at any junction is zero.
Current entering a junction is assigned a positive sign and that leaving the junction is assigned a negative sign.
Σ I = 0
From the image of the circuit attached, I₁ is leaving the junction labelled number 1 and I₂ and I₃ are entering the junction.
Hence,
-I₁ + I₂ + I₃ = 0
I₁ = I₂ + I₃
Hope this Helps!!!
Answer:
(0.3798, 0.4602)
Step-by-step explanation:
Let p be the true proportion of US adults who believe raising the minimum wage will help the economy. A point estimate for p is and a good aproximation (because we have a large sample) for the standard deviation of
is
. Therefore, a 99% confidence interval for p is given by
where
and
is the
th quantile of the standard normal distribution, so we have,
, i.e.,
or equivalently (0.3798, 0.4602).