Answer:
44°
Step-by-step explanation:
From sin rule:
a / sin A = b / sin B = c / Sin C
3.6 / sin b = 5.1 / sin 100
Cross multiply :
5.1 * sinb = 3.6 * sin 100
Sin b = 3.5453079 / 5.1
Sin b = 0.6951584
b = sin^-1(0.6951584)
b = 44.039
b = 44°
Answer:
x=7
Step-by-step explanation:
1. Distribute
2. Subtract 7x from both sides of the equation
3. Simplify
4. Divide both sides of the equation by the same term
5. Simplify
Answer: x=7
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....

Subtract sides -3x


Divided sides by -4


This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :

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We have following equation to find the point-slope form of the linear functions.

Now just need to put the slope and the given point in the above equation.

Multiply sides by 4


Plus sides 24


Subtract sides -3x


And we're done....♥️♥️♥️♥️♥️
Lets represent the side of the square as s , since we know the area is 36. write s


the square root of 36 is 6. So, we know the side is 6. The formula for perimeter is P= s+s+s+s , but since it is a square and all the sides are equal, for a perimeter of a square you can do p= 4s , now substitute 6 for s to get 4(6)=24 so the perimeter of a square would be 24 inches
Answer:
Naomi had the correct measurement the ring weighed 0.625 carats
Step-by-step explanation:
* The diamond ring weighed 5/8 carats
- To know who is right lets change the fraction 5/8 to a decimal number
∵ 5/8 means 5 ÷ 8
- 5 is smaller than 8 so we will multiply it by 10 and
insert decimal point in the quotient (answer of division)
∴ It will be 50 ÷ 8 = 6 and remainder 2/8 ⇒ 1/4
∴ The quotient = 0.6 and remainder 1/4
- 1 is smaller than 4 so we will multiply it by 10
∴ It will be 10 ÷ 4 = 2 and remainder 2/4 ⇒ 1/2
∴ The quotient = 0.62 and remainder 1/2
- 1 is smaller than 2 so we will multiply it by 10
∴ It will be 10 ÷ 2 = 5 without remainder
∴ The quotient = 0.625
* Naomi had the correct measurement the ring weighed 0.625 carats