Answer:
BC/sin 23 = 10/sin 47
Step-by-step explanation:
Here, we want to select the true equation to find the length BC
From the question, we have the angle facing side BC; also, we have the angle and the side facing it for another side
In this situation, the best way to solve for BC is by the use of the sine rule
The sine rule states that the ratio of the length of a side and the sine of the angle facing the side is constant for a given triangle
Thus, we have it that;
BC/sin 23 = 10/sin 47
QWERTY is the first 6 letters on the keyboard
Answer:
The length of the side of the triangle is 10 inches.
Step-by-step explanation:
Let p = perimeter of the equilateral triangle
Let P = perimeter of the square
Let s = length of side of the triangle
Let S = length of side of the square
"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"
p = P + 6 Equation 1
"the side of the triangle is 4 inches longer than the side of the square"
s = S + 4 Equation 2
We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.
For an equilateral triangle,
p = 3s Equation 3
For a square,
P = 4S Equation 4
Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.
3s + 4S = 6
s = S + 4
Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.
S = 4 - s
Substitute S = 4 - s into equation 3s + 4S = 6.
3s + 4(4 - s) = 6
3s + 16 - 4s = 6
-s = -10
s = 10
Answer: The length of the side of the triangle is 10 inches.
Answer:
7 yd^3
hope this helps
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Step-by-step explanation:
