Answer:
w=5
Step-by-step explanation:
firstly angle SUT and angle SUV are congruent, hence:
w+10=3w
10=3w-w
10=2w
10/2=w
5=w
Answer:
8/125
Step-by-step explanation:
Given
red balls : 6
yellow balls : 7
green balls : 2
total balls = 6 + 7 + 2 = 15
P(red ball) = 6 / 15 = 2/5
P(3 consecutive red balls with replacement),
= (2/5) x (2/5) x (2/5)
= 8/125
Solving the complex number, we get the value of the missing value that is ‘a’ = -6
We have been given the expression as
|a – i| = √37 (1)
Which is an expression of complex number. The general expression of complex number is given as
z = x + iy
where x is the real part and iy is the imaginary part
To find the modulus value, the formula is given by,
|z| = |x + iy|
|z| = √[(real part)2 + (imaginary part)2]
|z| = √(x2 + y2)
According to the question, |z| = √37 (2)
Equating equation (1) and (2), we get
√(a2 + 1) = √37
(a2 + 1) = 37
a2 = 37 – 1
a2 = 36
a = √36
a = ±6
Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.
Hence the value will be negative. Therefore, the missing value will be -6.
Learn more about complex number here : brainly.com/question/5564133
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2.45 cm= 1 in. so 100 cm must equal 39.37 in. because you already know 2.45 cm equals 1 inch and 1 metre equals 100 cm and 1 metre is equal to 39.37.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given that the price of gas started at $2.25 and increased at a rate of 4% per year.
We are to write a function which models this situation using numerical values of A and r into the expression.
A = $2.25
r = 4%
Assuming x to be the time in years, the function would be:
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