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BARSIC [14]
3 years ago
8

In the diagram below, one square unit represents 5 square meters. Find the area of the figure

Mathematics
2 answers:
zvonat [6]3 years ago
8 0
First find the area in terms of square units. The shaded area is going to be the area of the rectangle minus the unshaded area inside the rectangle. The area of the rectangle is 5*7 which is 35. For the area of the unshaded part, you can just count the squares to get 11. 35 - 11 is 24 so the area is 24 units squared. Every square unit is equal to 5 square meters, so multiply that by five to get 120 meters squared.
seropon [69]3 years ago
5 0
To get you started:  Look at the bottom 4 white squares.  Each square represents an area of 5 sq. meters.  Thus, these 4 white squares represent an area of 4(5 sq m) = 20 sq m.

Use the same method to calculate the remaining area.  Hint:  I count 7 full squares in this "remaining area."

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7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and
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Answer:

  • See below

Step-by-step explanation:

<u>Find the intersection of circles</u>

  • x² + y² + 2x = 0 and
  • x² + y² - 3y = 0

<u>Subtract the equations to find:</u>

  • 2x = -3y ⇒ y = -2/3x

<u>By substitution find the points:</u>

  • (0, 0) and (-1.385, 0.923)

<u>Find midpoint between these two points:</u>

  • x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615

<u>Find perpendicular bisector passing through this point:</u>

  • y - 0.4615 = 3/2(x + 0.6925)
  • y = 1.5x +  0.4615 + 1.5(0.6925)
  • y = 1.5x + 1.50025

<u>Find intersection of the lines, it is the center:</u>

  • y = 1.5x + 1.50025
  • x + 2y + 8 = 0

<u>Solving we get:</u>

  • x = -2,75, y = -2.625

<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>

  • (x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
  • x² + 5.5x + y² + 5.25y = 0
  • 4x² + 22x + y² + 21y = 0
  • 4x² + 4y² + 22x + 21y = 0

4 0
3 years ago
Read 2 more answers
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scZoUnD [109]
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