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3 years ago

3.(08.01 MC)

Mathematics

1 answer:

nirvana33 [79]3 years ago

5 0

Answer:

4 inches

Step-by-step explanation:

The formula is L=√((3×V)/h)

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If 5x=y+75x=y+7, is (x−y)>0(x−y)>0? (1) xy=6xy=6 (2) xx and yy are consecutive integers with the same sign

crimeas [40]

Answer:

No. If 5x=y+7 then xy=6 and (2) x and y are consecutive integers with the same sign. for xy=6

Step-by-step explanation:

<u>For the sake of clarity:</u>

If 5x=y+7 then (x – y) > 0?

Alternatives:

(1) xy = 6

(2) x and y are consecutive integers with the same sign

1) Consider (x-y)>0 as true:

$xy=6$ Numbers like, 3*2, 6*1, etc..

$5x=y+7\Rightarrow \frac{5x}{5}=\frac{y+7}{5}\Rightarrow x=\frac{y+7}{5}\\Plugging\: in:\:\\\frac{y+7}{5}-y>0\Rightarrow \frac{y+7-5y}{5}>0\Rightarrow \frac{-4y+7}{5}>0\Rightarrow \frac{-4y+7}{5}*5>0*5\\-4y+7>0 *(-1)\Rightarrow 4y-7\frac{7}{4}\therefore y$

Since y in this hypothetical case is lesser then let's find x, let's plug in y 1 for a value lesser than 1.75:

Then xy≠6 and no and 8/5 (1.75) is a rational number. What makes false the second statement about consecutive integers.

So this is a Contradiction. (x-y) >0 is not true for 5x=x+7.

2) Consider:

x and y are consecutive integers with the same sign is true.

Algebraically speaking, two consecutive integers with the same sign can be written as:

$y=x+1$

Plugging in the first equation (5x=y+7):

5x=x+1+7⇒4x=8 ⇒x =2

Since y=3 then x=2 because:

$3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2$

3) Testing it

$5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True$

$xy=6\\2*3=6\\6=6$

5 0

3 years ago

A. Change the following fractions to mixed numbers.

qaws [65]

Answer:

A )

1 - $1\frac{4}{7}$

2 - $5\frac{3}{5}$

3 - $3\frac{1}{5}$

4 - $4\frac{1}{4}$

5 - $6\frac{3}{4}$

B )

1 - $\frac{1}{4}$

2 - $\frac{2}{3}$

3 - $\frac{1}{3}$

4 - $\frac{4}{25}$

5 - $\frac{5}{8}$

C )

1 - 1

2 - $\frac{3}{4}$

3 - 1

4 - $\frac{3}{4}$

5 - $\frac{7}{9}$

D )

1 - $\frac{5}{12}$

2 - $\frac{2}{3}$

3 - $\frac{1}{3}$

4 - $\frac{1}{2}$

5 - $\frac{5}{12}$

6 0

3 years ago

Will make brainiest if answer correctly with explanation

Ilya [14]

Answer:

Step-by-step explanation:

The small triangle has a perimeter of 7 inches.

So, since you can fit 3 triangles down the left side of the triangle, you would multiply 7 by 3 to get 21.

Then, since the other side is the same length, multiply 21 by 2 to get 42.

Next, you add 18 to 42 because at the bottom of the picture, it says 18 inches.

That's how you get a perimeter of 60 inches.

4 0

4 years ago

In 1603, German astronomer Christoph Scheiner began to copy and scale diagrams using an instrument that came to be known as the

Softa [21]

Answer:

1. The pin’s location aids to create two drawings simultaneously. This is that while drawing an image, a copy, which may vary in size, is created at the same time.

2. The pantograph relates to dilation and similarity due to the use of similar triangles that affect the scale of the second drawing.

3. The use of similar triangles illustrates the process of the pantograph because the ratio of similitude is set when determining where to place the pin. When a triangle is moved while tracing a line, along with the outline of the image, an enlarged/reduced version of the image is created by the other pantograph's end.

4. The pantograph is now obsolete and has been replaced by several different ways of producing duplicates such as photocopying, mass printing, and digital filing.

4 0

3 years ago

If x=6 find the value of 3x

Nesterboy [21]

Answer:

3 (6) = 18

Step-by-step explanation:

7 0

4 years ago

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