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defon
3 years ago
9

A 50-foot flagpole near an office building casts a shadow

Mathematics
1 answer:
Alexus [3.1K]3 years ago
8 0

Step-by-step explanation:

Here are some hints: "At the same time,"means you need to set up a proportion (two ratios equal each other).

The shadow is always on the ground.

A person and a flagpole always stands up straight, like a wall (vertical height)

Underline key words and numbers. Draw a picture for sure.

|

|X 5.5 ft. |

|____________ |____

flagpole=50 feet person's shadow=4 feet

shadow

Since it is easier to work with one type of measurement, change the person's height to feet only. The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet

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PART 3 OF ME ASKING FOR HELP
e-lub [12.9K]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
An angle whose measure is _____ is rotated more than halfway around a circle
zaharov [31]

The correct answer is 60⁰.

Step-by-step explanation:

  • An angle whose measure is 60⁰ is rotated more than halfway around a circle.
  • Since, we have to find the measure of angle.  
  • As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
  • Considering that an angle is rotated more than halfway around a circle be \frac{1}{6}
  • Multiplying \frac{1}{6} with 360⁰
  • Therefore, it can show as \frac{1}{6}×360⁰
  • Which gives the result to be 60⁰
  • Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
  • A single rotation around a circle is equal to 360 degrees.
  • The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
  • If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.

4 0
3 years ago
Read 2 more answers
Find the volume of a cone that is 17.3ft and 4.7ft
Kaylis [27]

Answer:81.31

Step-by-step explanation:

5 0
3 years ago
Write the equation in slope-intercept form of the line that is parallel to the graph of the equation and passes through the give
Ne4ueva [31]

Answer:

y=x^2 + 3x - 3

Hope it helped :)

4 0
3 years ago
Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).
NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}

Now, differentiate to obtain

\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}

=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}

To obtain the required form, extract a factor in both the numerator and denominator:

\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)

3 0
3 years ago
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