A kite is tied to the ground. The rays from the sun hit the kite perpendicular to the kite string, casting a shadow of the kite on the ground. The coordinates in the diagram are given in feet. What is the distance from where the kite is tied to the shadow? (3,12) (0,0)

Final answer:

The question provides two equations involving the variable f. By isolating f in these equations, we derive two possible values for f. The minimum value for f is the smaller of these two derived values, which is -5/3.

Explanation:

To solve this we can use the principle that if two different values of f multiply with different numbers to equal different constants, we can set up a system of equations to find those values of f.

The given equations are f×3=-5 and f×1=2. Let's denote f×1 as f₁ and f×3 as f₂.

• From f×1=2, we get f₁=2/1=2
• From f×3=-5, we get f₂=-5/3

So, the minimum value of f, that is f_min would be the smaller of f₁ and f₂. As -5/3 is smaller than 2, f_min = -5/3.

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Answer:

To find the peak value of a sinusoidal alternating current given its RMS (Root Mean Square) value, you can use the relationship between peak value and RMS value for a sinusoidal waveform.

The relationship is given by:

Peak Value = RMS Value * √2

In this case, the RMS value is 4.78 amp. Plugging this into the equation, we get:

Peak Value = 4.78 amp * √2 ≈ 6.76 amp

Therefore, the correct answer is option b) 6.76 amp.

The correct option is C.

Do quadrilaterals add up to 360?

Angle Sum of a Quadrilateral For any quadrilateral, we can draw a diagonal line to divide it into two triangles. Each triangle has an angle sum of 180 degrees. Therefore the total angle sum of the quadrilateral is 360 degrees.

The sum of angle around a point equal 360°

so (BOA) = 360-250=110°

and the sum of angle in the shape CAOB = 360°

so BCA = 360-(110+90+90)= 70°

Why do Angles in a Quadrilateral Sum to 360 Degrees?

Angles in a quadrilateral add to 360° because two triangles can be made inside any quadrilateral by drawing straight lines from one corner to the other corners. Each triangle contains 180° and so, two triangles contain 360°.

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