3 years ago

What does it mean when a figure is dilated by a scale factor of 1/4

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

7 0

When a figure is dilated by a scale factor of 1/4 it means it is 1/4 the original size

docker41 [41]3 years ago

3 0

It means the figure is 1/4 the size of the original figure

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Five times the number subtracted from six is triple the number

alexira [117]

6-5x=3x
-5x-3=-6
-8=-6
x=-6/-8
= 3/4 or 0.75

7 0

3 years ago

An equilateral ∆ has sides of length 16 cm. Find the length of an altitude.

inn [45]

The length of the altitude is $8\sqrt{3}$

Explanation:

Let ABC be an equilateral triangle.

It has sides of length 16 cm

Let AD be the altitude of the triangle.

We need to determine the length of an altitude.

Let AC = 16 cm and CD = 8 cm

Let us consider the right angled triangle ADC

Using the Pythagorean theorem, we have,

$AC^2=AD^2+DC^2$

Substituting the values, we get,

$16^2=AD^2+8^2$

$256=AD^2+64$

$192=AD^2$

$8\sqrt{3}=AD$

The length of the altitude is $8\sqrt{3}$

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3 years ago

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel.

DochEvi [55]

X is Kevin; Y is Dan

X = 3Y

X - 4 = 5(Y - 4)

3Y - 4 = 5(Y - 4)
3Y - 4 = 5Y - 20
   + 4 +4
4 cancels each other out.
3Y = 5Y - 16
   - 5 -5
5 cancels each other out.
-2Y = -16
/2 /2
   Y = 8

X = 3Y;
X = 3 x 8;

Thus,
X = 24;
Kevin(x) is 24

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3 years ago

My son is having such a hard time with 6th grade math. and I'm no help at all. someone help please

lisabon 2012 [21]

I'd be more than happy to help. Im a sophmore and Love math

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3 years ago

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on a map 1 inch equals 25 miles two cites are 5 inches apart on the map what is the actual distance between the cities

jeka57 [31]

1 inch = 25 miles so 5inches x 25 = 125 miles

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3 years ago