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4 years ago

(20 Points) Please answer :(

Mathematics

2 answers:

Varvara68 [4.7K]4 years ago

6 0

The answer is D. I hope this helps love! :)

Soloha48 [4]4 years ago

3 0

Answer:

D is the correct answer

Step-by-step explanation:

In A, $\frac{8}{3}\neq \frac{2}{1}$

So, there is no proportional relationship beteen x and y.

In B, $\frac{1}{1}\neq \frac{4}{2}$

So, there is no proportional relationship beteen x and y.

In C, $\frac{8}{3}\neq \frac{2}{1}$

So, there is no proportional relationship beteen x and y.

In D, $\frac{4}{1}=\frac{8}{2} =\frac{12}{3}$

Hence, table D shows proportional relationship beteen x and y.

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Why is the - sin of x the same as the sin of -x?

Neko [114]

Answer:

Sine is an odd function and presents positive values in the 1st and 2nd quadrants and negative values in the 3rd and 4th quadrants.

Step-by-step explanation:

-sin(x) = sin(-x)

This property is valid because the sine trigonometric function presents positive values in the first two quadrants and negative values in the third and fourth quadrants. The sine function is an odd function with symmetry with respect to the origin, which means that sin(x) and sin(-x) will always present opposite signs.

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3 years ago

How many sides does a polygon have if the sum of the measures of the interior angles is 3960

anastassius [24]

Answer: the polygon has 20 sides.

Step-by-step explanation:

The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.

if the sum of the measures of the interior angles is 3960

degrees. This means that

(n - 2) × 180 = 3960

Expanding the brackets by applying the distributive property, it becomes

180n - 360 = 3960

180n = 3960 - 360

180n = 3600

Dividing both sides by 180, it becomes

n = 3600/180

n = 20

6 0

3 years ago

Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of p

Ivan

It would be 45 cups because each number is multiplied by 5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
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7 0

3 years ago

A square piece of paper has an area of x2 square units. A

Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip = length * width = 2*x = 2x

Area of square piece of paper when rectangular strip is taken away from it

= Area of square - area of rectangular strip

= $x^2 -2x$

It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.

Thus,

$x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\$

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

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3 years ago

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Hello,
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3 years ago