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Q: The length of one is 2 feet longer than the width the length of the other is 4 feet longer than the width the larger has 8 more square feet than the smaller what is width of the rectangles?
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Two rectangles have the same width one length is 1 foot longer than the width the other is 2 ft longer than the width the larger rectangle has 5 more square ft than the smaller what is the width?

5 ft


How does area change when the length changes?

When length gets longer the area will be larger. As the length gets shorter the area will be smaller.


Two rectangles have the same width The length of one is 1 foot longer than the width The length of the other is 2 feet longer than the width The larger rectangle has 4 more square feet than the sma?

4


What are the relationships between the frequency of a simple pendulum and its mass amplitude and length?

The lower the frequency, the larger mass and longer length, The higher the frequency, the smaller the mass, and shorter the length.


Can the magnitude of a resultant vector ever be less than the magnitude of one of its components?

Yes, if the two vectors are at a sufficiently large obtuse angle.The law of cosines gives the size of the resultant.If C = A + B, where A, B, C are vectors, then C is the "resultant."The law of cosines says, he magnitudes, A,B,C, are related as follows,C2=A2+B2+2AB cosine(theta),where theta is the angle between the vectors A and B. When theta is zero, then C has the maximum length, equal to the lengths of A and B added. When theta is 180 degrees, then C has the minimum length of the difference of the length of A and of B. Somewhere in between, the length of C will equal the length of the longer component and for larger angles be smaller.To be specific, suppose that A is the longer of the two, then the resultant, C, has the same length as A at one special angle which we will call theta*.A2=A2+B2+2AB cosine(theta*)cosine(theta*)=-B/(2A).The answer to the question is then, that for angles greater than theta* the resultant is smaller than the larger component. (Greater means, of course, greater than theta* and up to 360-theta*.)Note that if we ask whether the resultant can be smaller than the smaller of the two component vectors, then the answer is again yes and the above equation holds true when A is the smaller with the condition that it is not smaller than half the length of B. When the smaller vector is less than half the length of the larger component, then the resultant may equal the length of the larger but can never be made equal to the length of the smaller component.

Related questions

Two rectangles have the same widththe length of one is1 foot longer than the widththe length of the other is 2 feet longer than the widththe larger rectangle has 4 more square feet than the smaller?

4 feet


Two rectangles have the same width one length is 1 foot longer than the width the other is 2 ft longer than the width the larger rectangle has 5 more square ft than the smaller what is the width?

5 ft


How does area change when the length changes?

When length gets longer the area will be larger. As the length gets shorter the area will be smaller.


Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the sma?

5


Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 4 more square feet than the sma?

4


Two rectangles have the same width The length of one is 1 foot longer than the width The length of the other is 2 feet longer than the width The larger rectangle has 4 more square feet than the sma?

4


Two rectangles have the same width The length of one is 1 foot longer than the width The length of the other is 2 feet longer than the width The larger rectangle has 6 more square feet than the sma?

6 FEET


Two rectangles have the same width The length of one is 2 feet longer than the width The length of the other is 4 feet longer than the width The larger rectangle has 8 more square feet than the sma?

4 feet


Two rectangles have the same width The length of one is 1 foot longer than the width The length of the other is 2 feet longer than the width The larger rectangle has 5 more square feet than the sma?

5


What are the relationships between the frequency of a simple pendulum and its mass amplitude and length?

The lower the frequency, the larger mass and longer length, The higher the frequency, the smaller the mass, and shorter the length.


Can 2 rectangles make a square?

All squares are rectangles, but not all rectangles are squares. Basically, a square is a rectangle where all sides are the same length. However, providing that the width is half of the length, or vice versa, and you join the two rectangles along the one of the sides that is longer, two rectangles can make a square. Example: 1x2 rectangle joined with another 1x2 rectangle will make a 2x2 square.


Why does a longer beam length mean greater deflection?

Deflection of beam depends upon load and length of beam. Larger the beam, larger will be it's selfweight