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3 years ago

PLease answer 5c + 3 - 2c = 6

Mathematics

1 answer:

cluponka [151]3 years ago

4 0

Answer:

c = 1

Step-by-step explanation:

5c + 3 - 2c = 6 (Combine like terms)

3c + 3 = 6 (Subtract 3 from both sides)

3c = 6 - 3 (Solve)

3c = 3 (Divide by 3)

c = 1

Hope this helped! :)

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What is the decimal 0.84 (84 repeating) as a fraction? Help pretty please

mr_godi [17]

Answer:

28/33

Step-by-step explanation:

We first let 0.84 be x.

Since x is recurring in 2 decimal places, we multiply it by 100.

100x=84.84

Next, we subtract them.

100x−x=84.84−0.84

99x=84

Lastly, we divide both sides by 99 to get x as a fraction.

x=84/99

=28/33

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3 years ago

Show that the triangles are similar

Elenna [48]

Answer: All triangles no matter what shape or size it equals to 180 degrees

Step-by-step explanation:

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2 years ago

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Assessment

lana66690 [7]

1). c

2). a

3). a **

4). d

5). a

6). c

** Question #3 has a typo (a typographical error, a misprint, an error, a mistake, a blunder, an oops, an owee) on the question sheet. The first number of the sequence should be 10,000 instead of 1000 .

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2 years ago

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The side of each of the equilateral triangles in the figure is twice the side of the central regular hexagon. What fraction of t

lana [24]

Answer:

The fraction is 1/4

Step-by-step explanation:

we know that

The area of an equilateral triangle, using the law of sines is equal to

$A=\frac{1}{2}x^{2}sin(60^o)$

$A=\frac{1}{2}x^{2}(\frac{\sqrt{3}}{2})$

$A=x^{2}\frac{\sqrt{3}}{4}$

where

x is the length side of the triangle

In this problem

Let

b ----> the length side of the regular hexagon

2b ---> the length side of the equilateral triangle

step 1

Find the area of the six triangles

Multiply the area of one triangle by 6

$A=6[x^{2}\frac{\sqrt{3}}{4}]$

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=2b\ units$

substitute

$A=3(2b)^{2}\frac{\sqrt{3}}{2}\\\\A=6b^{2}\sqrt{3}\ units^2$

step 2

Find the area of the regular hexagon

Remember that, a regular hexagon can be divided into 6 equilateral triangles

The area of the regular hexagon is the same that the area of 6 equilateral triangles

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=b\ in$

substitute

$A=3(b)^{2}\frac{\sqrt{3}}{2}$

step 3

To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

$3(b)^{2}\frac{\sqrt{3}}{2}:6b^{2}\sqrt{3}=\frac{3}{2} :6=\frac{3}{12}=\frac{1}{4}$

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3 years ago

No scale is shown on this map of a wilderness area. The distance between Rose Lake and the main road is 3.5 mi. On the map it is

vivado [14]

Answer:

<em>The actual distance between Rose Lake and the hiking trail is 7 miles.</em>

Step-by-step explanation:

The actual distance between Rose Lake and the main road is 3.5 miles and the scaled distance on the map is 2 inch.

Suppose, the actual distance between Rose Lake and the hiking trail is $d$ miles.

Given that, the scaled distance from Rose Lake to the hiking trail on the map is 4 inch.

So, <u>according to the ratio of "scaled distance" to the "actual distance"</u>, the equation will be......

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Thus, the actual distance between Rose Lake and the hiking trail is 7 miles.

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2 years ago