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3 years ago

7

Carol walks 12km at xkm/h and then a further 6 km at (x-1) km/h the total time taken is 5 hours . Write an equation in terms of

x and show that it simplifies to 5x squared -23x+12=0

1 answer:

Arisa [49]3 years ago

8 0

Step-by-step explanation:

12/x + 6/(x-1) = 5

12(x-1) + 6(x) = 5(x)(x-1)

18x - 12 = 5x² - 5x

5x² - 23x + 12 = 0. (Shown)

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Write 289% in decimal form.

Veseljchak [2.6K]

There r 2 ways to do this....percent to decimal

(1) u can divide by 100.....289/100 = 2.89
(2) u can move the decimal 2 spaces to the left....2.89

just so u know ... decimal to percent
(1) multiply by 100
(2) move decimal 2 spaces to right

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3 years ago

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Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re

VashaNatasha [74]

$1,800 (10%) = $180
jay pays 10% of the expenses beyond the deductible so you multiply the amount beyond the deductible by 10%.
$1,800 - $180 = $1,620
or
$1,800 (90%) = $1,620
you subtract what jay pays from the total or you multiply the total by 90%

jay pays $180 of the expenses past the deductible (not including his $200 deductible) and his insurance company pays $1,620.

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3 years ago

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Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

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3 years ago

What is the amount, base, and percent in the expression.

Illusion [34]

Answer:

The correct answer is :

Amount: 2

Base: 100

Percent: 2%

Step-by-step explanation:

So, we get the answer by using whatever we know. The first step is that 2 is the percent because it is having the percent sign . In addition we know that 100 is the base. And the one which is left is 2 so it's the amount.

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3 years ago

Find the area of the missing piece of the polygon and explain your process for finding it:

rusak2 [61]

Answer:

The area of the polygon is 42 $cm^{2}$ .

Step-by-step explanation:

A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.

From the given figure, the area of the shaded polygon can be calculated by;

Area of polygon = Area of square - Sum of areas given

Sum of areas given = 24 + 30 + 48

= 102 $cm^{2}$

The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:

Area of square = length × width

= 12 × 12

= 144 $cm^{2}$

Area of polygon = 144 - 102

= 42 $cm^{2}$

The area of the polygon is 42 $cm^{2}$ .

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3 years ago