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2 years ago

Which of the following numbers is proportional to 84/108?

Mathematics

1 answer:

lara [203]2 years ago

8 0

Proportional numbers are numbers with the same equivalent ratio

98/126 is proportional to 84/108

The number is given as:

$Number = \frac{84}{108}$

Reduce fraction to the lowest term

$Number = \frac{7}{9}$

Reduce 86/110 to the lowest term

$Number = \frac{86}{110}$

Divide by 2/2

$Number = \frac{43}{55}$

43/55 is not equivalent to 7/9

Reduce 98/126 to the lowest term

$Number = \frac{98}{126}$

Divide by 14/14

$Number = \frac{7}{9}$

7/9 is equivalent to 7/9.

Hence, 98/126 is proportional to 84/108

Read more about proportional numbers at:

brainly.com/question/1781657

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Find the circumference of the circle and round to the nearest tenth

VLD [36.1K]

Answer:

The circumference is 45.2yd

Step-by-step explanation:

Given

$d = 14.4$ --- diameter

Required

Determine the circumference

The circumference is calculated as:

$C =\pi d$

So, we have:

$C =\pi * 14.4$

Take pi a 3.14

$C =3.14 * 14.4$

$C =45.216$

Approximate

$C =45.2yd$

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2 years ago

Order each group of numbers from least to greatest: 4, pi, square root of 8

Ilia_Sergeevich [38]

Square root of 8 , pi, 4

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3 years ago

Find the distance between the points (4,-2), (4,-5)

kiruha [24]

$\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3$

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2 years ago

The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the f

OLEGan [10]

Answer: First option

Step-by-step explanation:

By definition, the horizontal shift depends on the value of h and the vertical shift depends on the value of k.

$f(x)=(x-h)^3$ indicates that the function if shifted to the right h units.

$f(x)=(x+h)^3$ indicates that the function if shifted to the left h units.

$f(x)=f(x)-k$ indicates that the function if shifted down k units.

$f(x)=f(x)+k$ indicates that the function if shifted up k units.

Then:

If h is positive, the graph will shift to the right.

If k is negative, the graph will shift down.

As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:

$g(x)=(x-4)^3-2$

Where:

$h=4\\k=-2$

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3 years ago

An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?

seraphim [82]

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

$= (n - 2 )\times 180$

$Therefore, Each \ interior \ angle = (\frac{n - 2}{n} )\times 180$

$Sum \ of \ one \ of \ the \ interior \ angle \ with \ its \ exterior \ angle \ is \ 180^\circ$

$[ \ because \ straight \ line \ angle = 180^\circ \ ]$

That is ,

$Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180 = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9$

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is 40

Therefore ,

$n \times 40 = 360\\\\n = \frac{360}{40} \\\\n = 9$

8 0

3 years ago