Answer: 4
Step-by-step explanation:
The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:
x = k / ✓y
When x = 12, y = 9
We have to calculate the constant of proportionality, k which will be:
12 = k / ✓9
12 = k / 3
k = 12 × 3
k = 36
To find the value of x when y = 81 will be:
x = k / ✓y
x = 36 / ✓81
x = 36 / 9
x = 4
Therefore, x = 4 when y = 81.
Answer:
x = 14
Step-by-step explanation:
The 2 given angles are vertical angles abd are congruent, so
4x - 22 = x + 20 ( subtract x from both sides )
3x - 22 = 20 ( add 22 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
x + 20 = 14 + 20 = 34°
4x - 22 = 4(14) - 22 = 56 - 22 = 34°
Answer:
$625
Step-by-step explanation:
to find the original divide the sale price by the decreased percentage. 125/%20(or .20)
The sinusoidal function that passes through (0,-6), has a period of 12 and an amplitude of 3 will be y = 3 sin 12x - 6.
What is a sinusoidal Function?
It is a function that repeats itself in a particular time interval.
The equation is given as
y = Asin (ωx + Ф) + k
We have
Amplitude (A) = 3
Period (ω) = 12
Phase difference (Ф) = 0
Then the equation will be
y = 3 sin 12x + k
The function is passing through (0, -6). Then we have
-6 = 3sin (12 × 0) + k
-6 = k
Then the equation will be
y = 3 sin 12x - 6
More about the sine function link is given below.
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The absolute value of 4 by 3 would be 3.33
What is the absolute value?
The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign.
We have to find the absolute value of 4/3.
So |4/3| = |3.33|
= 3.33
Hence, the absolute value of 4 by 3 would be 3.33
To learn more about absolute values, visit:
brainly.com/question/12928519
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