Givens
The equation is miles = rate of travel * hours.
Let the rate of travel = k
Let the miles = y
Let the number of hours = x
Equation
y = k*x Is the answer that you seek <<<<<Answer
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Answer:
The length of the shadow is 48.28 feet.
Step-by-step explanation:
The flagpole at its shadow form a 46, 44, 90 triangle.
Let AB be the flagpole. AC is the shadow.
Let's use the sine law to calculate AC.
Again using the Pythagorean Theorem:
h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths. You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:
34^2=16^2+y^2
y^2=34^2-16^2
y^2=1156-256
y^2=900
y=√900
y=30 ft
So the ladder will reach a spot 30 feet high on the building.
Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )
