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kow [346]
3 years ago
13

What is the height of a rectangle whose base is 40 inches and whose diagonal is 41 inches?

Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer: 9 inches

Step-by-step explanation:

romanna [79]3 years ago
7 0

Answer:

You must draw a right triangle and label the hypotenuse as 41 and the longest leg (horizontal in this case, since we are to determine the height) as 40. We do not know the height so call it h.

Now the Pythagorean (sp /) Theorem states that the square of the hyp. is equal to the sum of the squares of the two legs.

so, 41 ^ 2 = 40 ^ 2 + h ^ 2

41 ^ 2 = 1681   40 ^ 2 = 1600     Therefore h ^2 must be equal to 81.   This means that h = 9.

The height is 9 inches.

Step-by-step explanation:

mark me as brainliest pls :)

~Alex

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Luis wants to buy a skateboard that usually sells for $79.91. All merchandise is discounted by %12. What is the total cost of th
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Answer:

Luis' skateboard will cost $76.32.

Step-by-step explanation:

Divide 79.91 by 100, this is what one percent is worth, .7991.

Multiply this by 12, giving you 12 percent, 9.59 (rounded to the nearest 10th).

Now subtract 9.59 from 79.91, 70.32. That is the price BEFORE tax.

Than divide 70.32 by 100, .7032.

Multiply this by 8.25, 5.80, this is tax.

Now add the price before tax, 70.32, to the tax, 5.80.

This creates 76.12. This means that the total price of the skateboard is $76.32.

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3 years ago
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There are 16 sixth graders and 20 seventh graders in the Robotics Club. For the first project, the club sponsor wants to organiz
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Because you cannot add the two numbers you must find a common denominator for 16 and 20. This answer is 4. The greatest number of group members possible is 4.
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3 years ago
Which of the following points is in the solution set of y > -x2 + 5? (0, 5) (1, 3) (2, 4)
mylen [45]

Answer:

(2, 4)

Step-by-step explanation:

The only point that satisfies the inequality is (2, 4).

(0, 5) : -0^2 +5 = 5 . . . . . not > 5

(1, 3) : -1^2 +5 = 4 . . . . . . 3 is not > 4

(2, 4) : -2^2 +5 = 1 . . . . . . 4 is greater than 1, so this point is in the solution set.

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On a certain hot​ summer's day, 325 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for
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217 children and 481-217 = 264 adults

Step-by-step explanation:

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3 years ago
Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

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3 years ago
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