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Archy [21]
4 years ago
15

The tile pattern shown was used in Pompeii for paving. If the diagonals of each rhombus are 2 inches & 3 inches, what area m

akes up each cube in the pattern?
Mathematics
1 answer:
Alex17521 [72]4 years ago
8 0
The tile in Pompeii shows that there are 3 shapes of rhombus in one cube.
A ( rhombus ) = d1 * d2 / 2
d1 = 2 in,  d2 = 3 in.
A ( rhombus ) = 2 * 3 / 2 = 3 in²
Finally:  3 * 3 = 9 in²
Answer: Area of each cube in the pattern is 9 in².
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What is 100/20and 54/7
Deffense [45]

Answer:

they are improper fractions

5 0
3 years ago
Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
aliina [53]

Answer:

it's d

Step-by-step explanation:

multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.

0.31×27+(0.57)= 8.94

7 0
3 years ago
Rajan needs 1 liter of 15% hydrochloric acid solution for an experiment. He checks his storage cabinet, but he only has a 5-lite
Delvig [45]

Answer:

  1. <em>0.75</em><em> liters of 5% hydrochloric acid solution </em>
  2. <em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>

Step-by-step explanation:

Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.

As Rajan need total of 1 liter of solution, so

x+y=1

i.e x=1-y --------------------1

As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so

0.05x+0.45y=1\times 0.15

i.e 5x+45y=15 -------------2

Putting value of x from equation 1 in equation 2,

\Rightarrow 5(1-y)+45y=15

\Rightarrow 5-5y+45y=15

\Rightarrow 5+40y=15

\Rightarrow 40y=15-5=10

\Rightarrow y=0.25

Putting the value of y in equation 1,

x=1-0.25=0.75

Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters  of 45% hydrochloric acid solution.

4 0
4 years ago
Graph the line whose y-intercept is -7 and whose x-intercept is 1
vesna_86 [32]

Answer:

y=7x -7

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}}, where x_{2} and x_{1} are the x - coordinates of both points and y_{2} and x_{1} are the y - coordinates of both points.

m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7

We now have the missing piece, the slope, so the equation now is:

y=7x -7

3 0
3 years ago
4/3+căn5 - 8/1+căn5 +15/căn5
padilas [110]

Answer:

A= \frac{4}{3 +  \sqrt{5} }  -  \frac{8}{1 +  \sqrt{5} }  +  \frac{15}{ \sqrt{5} }

=  \frac{4(3 -  \sqrt{5)} }{4}  -  \frac{8(1 -  \sqrt{5} }{ - 4}  +  \frac{15 \sqrt{5} }{5}  = 3 -  \sqrt{5 + 2 - 2 \sqrt{5 + 3 \sqrt{5 = 5} } }

Step-by-step explanation:

Cảm \:  ơn!!!!

4 0
3 years ago
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