Answer:
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Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
Answer: x = 3
Step-by-step explanation:
Simplifying
17x + -3 = 48
Reorder the terms:
-3 + 17x = 48
Solving
-3 + 17x = 48
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 17x = 48 + 3
Combine like terms: -3 + 3 = 0
0 + 17x = 48 + 3
17x = 48 + 3
Combine like terms: 48 + 3 = 51
17x = 51
Divide each side by '17'.
x = 3
Simplifying
x = 3
Answer would be 58.5 yd^2 .
You should take the base of the triangle multiplied by the height.
Formula: 1/2×base×height
In this case, you know that base is 13yd and height is 9 yd.
So, apply the formula.
Area = 1/2(13yd)(9yd) = 58.5 yd^2
*Do not include the " invisible length as it is not part of the actual triangle.
*Do not include 32yd as it is a hypotenuse and not a base. Hypotenuse is a side that is opposite a right angle triangle.
Answer: I encourage you to ask real questions for the sake of others.
Step-by-step explanation: (thx for points tho :))
