High School

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If an acre is equal to 43,560 square feet and a fire burned an area 250 feet wide and 1,200 feet long, how many acres were burned?

a) 6.9
b) 7.2
c) 7.8
d) 8.3

Answer :

Answer:

c. 7.8

Step-by-step explanation:

times 250 by 1200

then divide 43560 by the answer to the prehious equation

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Rewritten by : Barada

Final answer:

To express the vector with a magnitude of 3 and a direction of 340 degrees counterclockwise from the positive x-axis in component form, use the cosine for the x-component and the sine for the y-component of the angle. Compute Ax = 3 * cos(340°) and Ay = 3 * sin(340°) to obtain the component form.

Explanation:

To write a vector in component form that has a magnitude of 3 and points in a direction 340 degrees counterclockwise from the positive x-axis, we can use trigonometric functions. The x-component (Ax) can be found using the cosine of the angle (cosθ), and the y-component (Ay) can be found using the sine of the angle (sinθ).

If θ = 340°, then:

Ax = A cos(θ) = 3 * cos(340°)

Ay = A sin(θ) = 3 * sin(340°)

The calculated x and y components represent the vector in component form.

As 340° is equivalent to -20°, we can also calculate:

Ax = 3 * cos(-20°)

Ay = 3 * sin(-20°)

The resultant component form of the vector is thus (Ax, Ay).