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Otrada [13]
3 years ago
14

Find a rational number that is between 9.5 and 9.7. Explain why it is rational

Mathematics
2 answers:
Helen [10]3 years ago
6 0

A rational number means it doesn't have a decimal that repeats. For example, 2/3 or 0.66....

There is only one number between 9.5 and 9.7. This number is 9.6.

The decimal doesn't repeat or go on forever so its rational.

Answer: 9.6

Best of Luck!

Leona [35]3 years ago
6 0

Answer:

9.6

Step-by-step explanation:

decimals are rational so ye

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The absolute value sign changes anything that's in it to become a positive number. So -9 + 4 is -5. The | <--absolute value signs--> | will make the -5 becomes positive. So |-5| = 5.

Your answer is 5.
6 0
3 years ago
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The Spanish club is selling plates of food as a fundraiser. A plate with 2 tacos, 2 cheese enchiladas, and 1 tamale costs $8.50.
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Answer:

Step-by-step explanation:

Put the numbers that represents tacos, enchiladas and tamales in front of x, y and z

For instance,

2x+2y+1z=8.50

3x+2y+2z=13

1x+3y+2z=11.50

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3 years ago
What are the coordinates of the midpoint of the segment whose endpoints are A (1,6) and B (5,-2)?
Alexandra [31]
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }&#10;\\\\&#10;A(\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad &#10;B(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})&#10;\qquad&#10;%   coordinates of midpoint &#10;\left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right)&#10;\\\\\\&#10;\left( \cfrac{5+1}{2}~~,~~\cfrac{-2+6}{2} \right)\implies (3~,~2)
6 0
4 years ago
A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n? 5 &lt; n &lt; 15 5 &lt; n
ehidna [41]

Answer:

15 < n < 25

Step-by-step explanation:

According to the triangle inequality theorem, any two sides lengths' sum should be greater than the third side. This also implies that to find the <em>possible length of  the 3rd side given other two sides (let two given sides be x and y)</em>, we can say that the 3rd side length will be between x+y and x-y.

Hence, we can say that <em><u>n should be between 20+5 and 20-5</u></em>.

So, 20 - 5 < n < 20 + 5, which is

15 < n < 25

<em>This is the correct answer.</em>

5 0
3 years ago
Read 2 more answers
use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
Jobisdone [24]

Answer:

Second Option

671 m²; 725 m²

Step-by-step explanation:

The lateral area of a triangular prism is:

A_L = Ph

Where P is the perimeter of the triangular base and h is the height of the prism.

In this case, the perimeter of the triangular base is:

P = 9 + 6+ 10.82\\\\P = 25.82\ m

Then the height is 26 m

Then the lateral area of the prism is:

A_L = 25.82 * (26)\\\\A_L = 671\ m ^ 2

Therefore the surface area of the triangular prism is:

A = 2A_B + A_L

Where A_B is the area of the base.

A_B = \frac{bh}{2}

Where b is the base of the triangle and h is the height

In this case:

b = 9\ m\\\\h = 6\ m\\\\A_B = \frac{9 * 6}{2}\\\\A_B = 27\ m ^ 2

Finally

A = 2 * 27 + 671\\\\A = 54 + 671\\\\A = 725\ m ^ 2

The answer is 671 m²  and  725 m²

3 0
3 years ago
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