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timama [110]
3 years ago
12

Aileen is decorating for the grand opening of the town's new courthouse. The entrance is marked by two stone columns that each s

tand 4.5
meters tall and a semicircular arch above the columns. She has a hung a 2-meter-long welcome banner between the two columns, and she
wants to line the entrance with a garland.
WELCOME!
2 m
4.5 m
If the garland will cover the inside edge of the entrance, from the bottom of the columns to the top of the arch, how many meters of
garland will Aileen need?
Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

I am not sure but I think it is 11

Step-by-step explanation:

I am so very sorry if im wrong :/

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There are 6 boxes on a table. There are 30 crayons in each box. How many crayons are there in all?
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Answer:

180

Step-by-step explanation:

All you do is multiply 30 by 6!

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Pythagorean Theorem with Known Legs
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Answer:

\sqrt{170} = c

Step-by-step explanation:

We are trying to find the hypotenuse of a right triangle

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121 + 49 = c^2

170 = c^2

Taking the square root of each side

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Simplify.<br><br> (22-7y+6)-(-4y2 + 3y+5)
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Answer:

4y^2 - 10y + 23

Step-by-step explanation:

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Write the ratio of the first measurement to the second measurement
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Need ASAP PLZ 21 POINTS!!!
Dmitriy789 [7]

Answer:

Two of the statements apply:

  • Second statement: Binh should have graphed the y-intercept of y = x - 3 at (0, - 3)

  • Last statement: Binh should have found the point of intersection to be (1, - 2).

Explanation:

1. Line 1

     y=-\dfrac{1}{2}x-\dfrac{3}{2}

2. Line 2

    y=x-3

3.  Binh’s Graph on a coordinate plane, a line with equation y = x - 3 goes through (- 3, 0) and (0, 3).

This is wrong because the point (-3, 0) is not on the line y = x - 3:

  • x = -3 ⇒ y = -3 - 3 = -6 ⇒ (-3,-6)

The other point, (0, 3) is wrong too

  • x = 0 ⇒ y = 0 - 3 = - 3 ⇒ (0, -3) This is the y-intercept

4. A line with equation y = -(1/2)x - (3/2) goes through (- 3, 0) and (1, -2).

Check the points:

  • x = -3 ⇒ y = -(1/2)(-3) - 3/2 = 3/2 -3/2 = 0 ⇒(-3,0) \checkmark

  • x = 1 ⇒ y = -(1/2)(1) - 3/2 = -1/2 -3/2 = -2  ⇒ (1, - 2)\checkmark

Both points are correct

5. Binh says the point of intersection is (0, –3). Which statements identify the errors Binh made?

<em>Binh listed the coordinates in the wrong order when describing the point of intersection on his graph?</em>

  • No, his error was on the procedure, look below

<em>Binh should have graphed the y-intercept of y = x - 3 at (0, - 3)?</em>

Correct!

  • This was one of the errors, as shown above the y-intercept of the line y = x - 3 is (0, -3) and not (0, 3).

<em>Binh should have graphed the y-intercept of y = x - 3 at (0, 1)?</em>

  • No. it is (0, 3) as stated above.

<em>Binh should have graphed the y-intercept of y = -(1/2)x -3/2 at (0, -1/2)?</em>

No, this is wrong:

  • The y-intercept is y = 0 - 3/2  = -3/2 ⇒ (0, -3/2)

<em>Binh should have found the point of intersection to be (1, - 2).</em>

Correct!

Yes, the solution of the equation is (1, -2) and he should have found that intersection point. Proof:

  • x - 3 = -1/2x - 3/2
  • x + 1/2x = 3 - 3/2
  • 3/2x = 3/2
  • x = 1

  • y = x - 3 ⇒ 1 - 3 = - 2

Thus, the point of intersection is (1, -2).

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3 years ago
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