Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
Answer:
31.73 grams
Step-by-step explanation:
70.83 g - 39.1 g = 31.73 g
The condition for an expression to be an <u>identity </u>is that both sides of equality must give the same value.
In this case, the equation that fulfills that condition is the first equation (1).
<u>Let’s prove it:</u>
1) 
Applying distributive property:
Joining together similar terms on both sides of the equality:
<h2>
>>>>>>>This is true and fulfills the condition of identity</h2>
The other equations do not fulfill the condition:
2) 
>>>>>>>This is not logic
3) 
>>>>>>>This is not logic
4) 
>>>>>>>This is not logic
Answer:
Step-by-step explanation:
Hello!
X: voltage, it has a mean of μ= 118.5V and a standard deviation of σ= 1.20V.
Assuming the variable has a normal distribution, I'll use the standard normal distribution to calculate the probability that the voltage is between 116 and 120 volts.
P(116≤X≤120) = P(X≤120) - P(X≤116)
Using Z= (X - μ)/σ you now standardize the voltage values and get the cumulative probabilities from the tables of Z.
P(Z≤(120-118.5)/1.20) - P(Z≤(116-118.5)/1.20)
P(Z≤1.25) - P(Z≤-2.08)= 0.89435 - 0.01876= 0.87559
87.559% of the data will be between 116 and 120 volts.
I hope you have a SUPER day!
Yes x = 1 is a function.
Hope this helps :(
