Answer:
Area of the reduced pentagon is ![30\ inch^2](https://tex.z-dn.net/?f=30%5C%20inch%5E2)
Step-by-step explanation:
Given scale factor is
. And area of pentagon is
.
The relation between area and scale factor is.
![New\ area=Old\ area\times (Scale\ factor)^2](https://tex.z-dn.net/?f=New%5C%20area%3DOld%5C%20area%5Ctimes%20%28Scale%5C%20factor%29%5E2)
Here, old area is given as
and scale factor is
.
So, reduced area of pentagon would be
![=120\times(0.5)^2\\=120\times0.25\\=30\ inch^2](https://tex.z-dn.net/?f=%3D120%5Ctimes%280.5%29%5E2%5C%5C%3D120%5Ctimes0.25%5C%5C%3D30%5C%20inch%5E2)
The area of the reduced pentagon is ![30\ inch^2](https://tex.z-dn.net/?f=30%5C%20inch%5E2)
Answer:
Step-by-step explanation:
The geometric mean relations for this geometry tell you the length of each segment (x or y) is the root of the product of the hypotenuse segments it touches.
x = √(9×5) = (√9)(√5) = 3√5
y = √(9×(9+5)) = (√9)(√14) = 3√14
_____
<em>Additional comment</em>
The geometric mean of 'a' and 'b' is √(ab).
The geometric mean relations derive from the fact that the three triangles in this geometry are similar. That means corresponding sides are proportional.
Segment x is both a long side (of the smallest triangle) and a short side (of the medium-size triangle). Then it will be involved in proportions involving the relationship of the long side and the short side of the triangles it is part of:
long side/short side = x/5 = 9/x
x² = 5·9
x = √(9×5) . . . . as above
In like fashion, y is both a long side and a hypotenuse, so we have ...
long side/hypotenuse = y/(9+5) = 9/y
y² = (9+5)(9)
y = √(9×14) . . . . . as above
The same thing holds true on the other side of the triangle. The unmarked segment is both a short side and a hypotenuse, so its measure will be the geometric mean of 14 and 5, the hypotenuse and its short segment.
U would use the next place value so for 200 u would use 1000 as the denominator and fot 2000 u would use 10000.
hope this helped
Answer: C) 210
Step-by-step explanation:
Multiplica 0.25 y 840 para encontrar el 25% de 840
Scenario: You have a measure cup with marks for tenths of Liters and need to use 12 fl oz of water to prepare a milk.
Conversion:
12 fl oz / [ fl oz / 0.0296 Liter] = 12 fl oz * 0.0296 Liter/ fl oz = 0.3552 Liter
Then you shall measure 0.355 Liter of water which is almost the same that 12 fl oz.