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3 years ago

If the area of Polygon P is 72 square units, what scale

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

If it went from 72 , it would go for another 72 since it’s P to Q

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Erin is considering joining one of 2 swim clubs. The Gators Swim Club has no registration fee, but charges $105 per month. The T

KatRina [158]

Answer:

14 months

Step-by-step explanation:

Given

Gator's = $105 monthly charges

Tidal Wave = $375 registration fee + $80 monthly charged

Required

Determine for how many months Gators is cheaper

Let the number of months be x;

Represent the given data, algebraically.

For Gators: 105x

For Tidal Wave: 375 + 80x

Represent the above as a n inequality

Since Gators has to be cheaper; we have

$105x < 375 + 80x$

Collect Like Terms

$105x - 80x < 375$

$25x < 375$

Divide both sides by 25

$x < 15$

<em>This implies that Gator's will be cheaper for months less than 15</em>

<em>Hence, the number of months is 14</em>

8 0

3 years ago

Round to the nearest tenth.

inessss [21]

Answer: Angle A = 53.9 degrees

Step-by-step explanation: We have a right angled triangle with two sides clearly given and one angle to be calculated. If the angle to be calculated is angle A, then having angle A as our reference angle, line AC (10 units) is the adjacent, line CB is the opposite while line AB (17 units) is the hypotenuse. Having been given the adjacent and the hypotenuse, we can now use the trigonometric ratio as follows;

CosA = adjacent/hypotenuse

CosA = 10/17

CosA = 0.5882

By use of the calculator or table of values,

A = 53.97

Approximately to the nearest tenth,

A = 53.9 degrees

6 0

3 years ago

The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pi

kati45 [8]

Answer:

The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

$\dfrac{\overline {RS}}{\overline {XZ}} = \dfrac{\overline {RT}}{\overline {XY}} = \dfrac{\overline {ST}}{\overline {ZY}}$

Step-by-step explanation:

The definition of similarity is the quality of two or more objects having a common definitive property

Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation

The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio