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alukav5142 [94]
3 years ago
12

Xavier climbs 9 feet up into an apple tree. What integer represents the direction and how far he will climb to get back down to

the ground? What does the integer 0 represent in this situation?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

He started climbing 9 feet up into the tree, so we can assume that the initial position is 9ft above the ground.

Then if he wants to get back into the ground, he must "descend" or climb down 9 ft again.

Then the integer is -9 (because he is climbing down now).

In this case, the 0 represents that he does not move.

So the integer 0 is related to: +0ft or -0ft

This means that he climbs up 0ft or down -0ft, which is the same as not moving at all.

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I believe "miles per hour" is the unit rate. 55 is not included.

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irina [24]

Answer:

\frac{11x}{3y}

Step-by-step explanation:

\frac{7x}{3y} + \frac{12x}{9y}

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.

3 0
3 years ago
Drag the answers to match the inequality and the situation it represents.
jok3333 [9.3K]

Answer:

b < 11 = The baby weighs at least 11 pounds.

b > 11 = The box contains more than 11 books.

b < 12 = There are fewer than 12 beetles in a jar.

b > 12 = The building is taller than 12 feet.

Step-by-step explanation:

The baby weighs at least 11 pounds is b < 11 because the baby weighs more than 11 pounds.

The box contains more than 11 books is b > 11 because there are more books in the box than 11.

There are fewer than 12 beetles in a jar is b < 12 because there are less than 12 beetles in a jar.

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Answer:

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

Step-by-step explanation:

The <em>sine </em>of an angle in a right triangle is the ratio of the side <em>across</em> from the angle with the hypotenuse of the triangle (the <em>hypotenuse </em>is the side across from the right angle). In this case, the sine of angle A, shortened to \sin{A}, is 21/29.

<em>Cosine</em> is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So \cos{A}=\sin{C}=20/29. Notice that this ratio is the same as the ratio of the side <em>adjacent</em> to angle A (AB), to the hypotenuse.

The <em>tangent</em> is the ratio of the side opposite an angle to the side adjacent to it. Here, \tan{A}=21/20. So, our trig ratios for this angle are

\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20

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