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irga5000 [103]
1 year ago
8

As the guest was sneaking away, the grounds keeper was 4 feet(48 inches) away and pushed an 84 inch ladder onto the suspect. The

very top of the ladder hit the guest in inches, then convert to feet. Suspect height= ____ft. ____ in.
Mathematics
1 answer:
N76 [4]1 year ago
5 0

To solve this problem, draw the situation for a better comprehension:

As we can see, the situation describes a right triangle and we can use pythagorean theorem to solve it.

To do this, use the corresponding units.

For inches:

\begin{gathered} h=\sqrt[]{84^2-48^2} \\ h=\sqrt[]{7056-2304} \\ h=\sqrt[]{4752} \\ h=68.9 \end{gathered}

The suspect is 68.9 inches high.

Convert this height to feet:

68.9in\cdot(\frac{1ft}{12in})=5.74ft

The suspect is 5.74 feet high.

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Answer:

  (6.8, 1.3)

Step-by-step explanation:

<u>Given</u>:

  A(-3, -5), B(11, 4)

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<u>Solution</u>:

Using the desired relation, we have ...

  (P -A)/(B -A) = 7/10

  10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

  10P = 7B +3A . . . . . . . . add 10A to both sides

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  P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

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2 years ago
Graph the Rarabola.---Plot five points on the parabola: the vertex, two points to the left of the vertex, and tvbutton2Explanati
valentinak56 [21]

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You can choose the points that you which

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1 year ago
A 5.1-ft-tall person walks away from a 12-ft lamppost at a constant rate of 3.9 ft/sec. What is the rate that the tip of the per
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6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

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12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

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CHECK THE ATTACHMENT FOR THE FIQURE

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3 years ago
An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its
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