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4 years ago

How do defined terms and undefined terms relate to each other?

1 answer:

3 0

UNDEFINED terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. <span>DEFINED terms can be combined with each other and with undefined terms to define still more terms.</span>

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The smallest exterior angle of a polygon is 40degrees the largest exterior angle is 80 degrees a) what is the smallest possible

love history [14]

Answer:

a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides

b) The largest possible number of sides of the polygon is a regular polygon with 9 sides

Step-by-step explanation:

a) The smallest exterior angle of the polygon = 40°

The largest exterior angle of the polygon = 80°

Therefore, we have the interior angles are;

The smallest interior angle of the polygon = 180° - 40° = 140°

The largest interior angle of the polygon = 180° - 80° = 100°

Therefore, we have

The interior angles of a regular polygon are given by the following formula;

$Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}$

For an interior angle of 100°, we have;

$100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}$

100/180 × n = n - 2

2 = n - 100/180 × n = 4/9·n

2 = 4/9·n

n = 18/4 = 4.5

Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides

b) For 140°, we have;

$140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}$

140/180 × n = n - 2

2 = n - 140/180 × n = 2/9·n

2 = 2/9·n

n = 18/2 = 9

n = 9 sides

Therefore, the largest possible number of sides = 9 Sides.

4 0

3 years ago

Scott has 16 pounds of fertilizer for his three gardens. He uses 3/8 of the fertilizer in his first garden and 1/4 of the fertil

Advocard [28]

3/8 of the fertilizer is left for the third garden

6 0

3 years ago

A sinusoidal function whose period is 1/2, maximum value is 10, and minimum value is -4, has a y-intercept of 3. What is the equ

nikdorinn [45]

Period of sin wave = 1/2
Period of parent sine function is 2π.

This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2

Thus, our function will be of the form: $sin( \frac{x}{4 \pi })$

Maximum Value = 10
Minimum Value = -4

Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7

Thus, the function will be of the form:

$7sin( \frac{x}{4 \pi } )$

The function has a y-intercept other than zero, this means the function will be of the form:

$y=7sin( \frac{x}{4 \pi } )+k$

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:

$3=7sin(0)+k \\ \\ 
3=k$

Thus the equation of the sinusoidal function becomes:

$y=7sin( \frac{x}{4 \pi } )+3$

6 0

3 years ago

Rex needs to take out a loan to buy a new car. He needs to borrow $25,000. The bank is giving him a rate of 2.5% over 6 years. H

KATRIN_1 [288]

Answer:

3,992.34 (I think)

Step-by-step explanation:

Set an equation:

25000(1+.025)^6

and you should get an answer of 28992.33546

Then you should subtract the initial amount which is 25000 to find out how much interest is being paid.

So finally the answer would be 3,992.34.

If im not wrong that is :)

6 0

3 years ago

What is 7/24 written as a decimal ?

mash [69]

Pretty sure its 0.2917, not sure tho,

4 0

3 years ago

Read 2 more answers