Raul is making a scale model of an airplane that had a wingspan of 44 feet. If Raul's scale model is 1/16 the size of the actual
1 answer:
Answer:
The wingspan of his model is <u>2.75 feet</u>.
Step-by-step explanation:
Given:
Raul is making a scale model of an airplane that had a wingspan of 44 feet.
If Raul's scale model is 1/16 the size of the actual airplane.
Now, to find the wingspan of his model.
Length of the airplane wingspan = 44 feet.
<em>As given, Raul's scale model is 1/16 the size of the actual airplane.</em>
Now, to get the wingspan of his model:
Therefore, the wingspan of his model is 2.75 feet.
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Answer:
Step-by-step explanation:
Component form of a vector is given by , where
represents change in x-value and
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector
, the magnitude is
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being
, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that
Therefore, the component form of this vector is
To solve this, we just need to find the distance between the points A and B in the number line, and then, divide that distance by 2.
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
and 
, so lets replace the values:
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4
Remember that the distance formula between tow point in the number line is:
From our point we can infer that
Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
We can conclude that the coordinate of the point M, the midpoint of AB, is 4