A hockey player passes a puck to his teammate by bouncing it off a wall. The angles formed when the puck hits the wall and bounc
es off are congruent. Some of the distances are shown.
What is the distance, x, from Player 1 to the wall?
Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth.
What is the distance, x, from Player 1 to the wall?
Enter your answer, as a decimal, in the box. Round your answer to the nearest hundredth.
2 answers:
Two different triangles for player 1 and player 2
Both triangles have right angle and same angle where they are connected. So other angle is also same.
All angles are same so they are similar triangles.
smaller triangle is similar to larger triangle
Hence the sides are in proportion
So x * 9 = 12 * 8
9x = 96
Divide by 9 on both sides
x = 10.67 ft
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Answer:
Josie should purchase floral daisy wallpaper.
Step-by-step explanation:
Area = Length × Width
The area of the Josie's accent wall = 9 × 10 = 90 feet²
The cost of Floral Daisy per square feet
=
=
= 0.98534 ≈ $0.99/ft²
The cost of total wallpaper for the wall = 90 × 0.99 = $89.10
The cost of Flower Power per square feet =
=
= 1.0096 ≈ $1.01/ft²
The cost of total wallpaper for the wall = 90 × 1.01 = $90.90
total savings = 90.90 - 89.10 = $1.80
∵ The floral daisy wallpaper comes in size = 1.45 ft × 9.8 ft
∴ Josie needs the number of rolls of floral daisy wallpaper to cover her wall = 7
The cost of 7 rolls = 14.67 × 7 = $102.69
To cover her wall with flower power wallpaper, she needs the number of rolls = 2
The cost of 2 rolls = 99 × 2 = $198
We can see the cost of floral daisy wallpaper is less than flower power.
Therefore, Josie should purchase floral daisy wallpaper.