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Zigmanuir [339]
3 years ago
11

A fountain on a lake sprays water in a parabolic arch modeled by the equation y= -0.3x^2 +3x. A beam of light modeled by the equ

ation -2x+5.5y=19.5 passes through the fountain to create a rainbow effect. f the beam cuts the water spray at points A and B, such that point B is higher than point A, what distance from the ground level is point A?

Mathematics
1 answer:
Nikitich [7]3 years ago
3 0

ANSWER

4.1 units to the nearest tenth.

EXPLANATION

The graph of the two functions are shown in the attachment.

The coordinates of point A is (1.6,4.1).

The coordinates of point B is (7.1,6.1)

The x-axis represents the ground level.

The distance of point A from the ground level is how far the y-coordinate of this point is from the x-axis.

Which is |4.1-0|=4.1

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  ∠1 ≅ ∠2

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The transitive property says that if ∠1 ≅ ∠3 and ∠1 ≅ ∠2, then ∠2 ≅ ∠3. The missing part of this statement in the paragraph is ∠1 ≅ ∠2.

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A rectange has a width of 9 units and a length of 40 unit. what is the length in diagonal
AlekseyPX

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41 units

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Sam bought a jacket for $17​, which is one-sixth​ of the original price. How much did the jacket cost originally?
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=102

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2 years ago
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
PtichkaEL [24]
<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Length of the mirror Austen needs to buy ➢</u> 3 ft
  • <u>Width of the mirror Austen needs to buy ➢</u> 2 ft
  • <u>Cost of mirror per square foot ➢</u> $5.00

<h3><u>To Find :-</u></h3>

  • Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

  1. Area of Mirror = Length × Width
  2. Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

  • <u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

  • <u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h3>___________________</h3>

<h2><u>Final Answer :-</u></h2>

  • Total cost of the mirror Austen needs to buy will be $30

<h3>____________________</h3>
7 0
2 years ago
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