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Pavel [41]
3 years ago
13

A rectangle has an area of x3 + x2 – 7x + 2 square meters and a width of x – 2 meters. Find its length.

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
The distance beween the points is 3\sqrt{} 13
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The area of rectangle ABCD is 72. If point A and the midpoints of BC and CD are joined to form triangle, the area of that triang
vredina [299]

Answer:

  27

Step-by-step explanation:

Name the midpoint of BC point M and the midpoint of CD point N.

Triangle ABM has the 1/4 the area of the rectangle, 18. Triangle ADN also has 1/4 the area of the rectangle, 18. Triangle CMN has 1/8 the area of the rectangle, 9. That is, of the rectangle area, ...

  18 + 18 + 9 = 45

are not included in triangle AMN. So, the area of that triangle is ...

  72 -45 = 27 . . . . units²

_____

<em>Comment on the triangle area</em>

The triangle created by joining the midpoint of the side of a rectangle with an opposite vertex will have the same dimension as the rectangle in one direction (L), and half the dimension of the rectangle in the other direction (W). Thus, where the rectangle area is LW, the triangle area is (1/2)(L)(1/2W) = (1/4)LW, 1/4 the area of the rectangle.

Similarly, if the midpoints of adjacent sides are joined to form a triangle, the area of that is (1/2)(1/2L)(1/2W) = (1/8)LW, or 1/8 the area of the rectangle.

3 0
3 years ago
The new printer at the school is able to print 2,700 pages in 45 minutes. On average, how many pages does it print per minute?
garri49 [273]

Answer:

It can print 60 pages per minute.

Step-by-step explanation:

You would divide 2,700 by 45, to get your answer. 2,700÷45=60. So your answer will be 60 pages per minute.

8 0
3 years ago
Read 2 more answers
4x+8=7.2+5x solve for d
liberstina [14]
Answer: x = 0.8

Explanation:

4x + 8 = 7.2 + 5x

5x - 4x = 8 - 7.2

x = 0.8
3 0
3 years ago
Read 2 more answers
PLEASE HEP ASAP!!!!!!! 30 POINTS!!!!!
anzhelika [568]

Answer:

a) 42°F < x < 176°F

b) The inequality graph is attached.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form.

Step-by-step explanation:

According to the Question,

a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:

42°F < x < 176°F

b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.

c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .

5 0
2 years ago
Can someone help with this please
Roman55 [17]
The scale is that 3 the force is going on a colicky of 350
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3 years ago
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