Answer:
\sqrt{6}
Explanation:
From the given diagram,
Hypotenuse sde = x
Opposite side = \sqrt{3}
Using the SOH CAH TOA identity
Sintheta = opposite/hypotenuse
Sin 45 = \sqrt{3}/x
x = \sqrt{3}/sin45
![\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csin%2045%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%5B%5D%7B2%7D%7D%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%5E%7B%7D%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is \sqrt{6}
we are given
worker’s hourly wage is $6.37
number of hours is n
so,
workers earnings in n hours is 6.37*n
so,
so,
option-C.........Answer
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.
y = (m)x + (b)
y = -5 x + 5.....slope (m position) = -5....y int (b position) = 5
Answer first number = 57 second number = 41
x= 16 + y
x + 2y = 139
16+ y + 2y =139
16 + 3y =139
16-16 +3y = 139-16
3y = 123
3/3y = 123/3
y= 41
x= 16+y
x = 16+41
x= 57
Answer:
45
Step-by-step explanation:
5 less than your number is at least 40. Let the number be x. So rephrasing the statement, 5 less than x is greater than or equals 40.
x-5 ≥ 40
x-5+ 5 ≥ 40+5 (adding 5 to both sides to single out the x in LHS)
∴x ≥ 45
In other words, x is at least 45.
Therefore, the minimum value of x is 45.
