Show your work” below and solve the given equation for x showing all your steps.

Mathematics

1 answer:

mixas84 [53]2 years ago

4 0

Answer:

x=-13

Step-by-step explanation:

21-3.5x+14=7-7.5x-24

21+14-3.5x=7-24-7.5x

35-3.5x=-17-7.5x

35+17=3.5x-7.5x

52=-4x

-4. -4

x=-13

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The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from th

Bas_tet [7]

Answer:

14.3 feet.

14.3 feet

Step-by-step explanation:

The problem forms a right triangle in which:

The Vertical Leg of the Right Triangle = 3 feet

The Horizontal Leg of the Right Triangle =14 feet

We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,

Using Pythagoras Theorem

$Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.$