The number of small tiles are needed is 300 tiles.
<h3>Number of tiles needed</h3>
Using area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
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Answer: Height at which the wire is attached to the pole is 12 feet.
Explanation:
Since we have given that
Length of the wire = 20 feet
Let the height at which wire is attached to the pole be h
and distance along the ground from the bottom of the pole to the end of the wire be x+4
Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".
![H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12](https://tex.z-dn.net/?f=H%5E2%3DB%5E2%2BP%5E2%5C%5C%5C%5C20%5E2%3Dx%5E2%2B%28x%2B4%29%5E2%5C%5C%5C%5C400%3Dx%5E2%2Bx%5E2%2B8x%2B16%5C%5C%5C%5C400%3D2x%5E2%2B8x%2B16%5C%5C%5C%5C400%3D2%28x%5E2%2B4x%2B8%29%5C%5C%5C%5C200%3Dx%5E2%2B4x%2B8%5C%5C%5C%5Cx%5E2%2B4x-192%3D0%5C%5C%5C%5Cx%5E2%2B16x-12x-192%3D0%5C%5C%5C%5Cx%28x%2B16%29-12%28x%2B16%29%3D0%5C%5C%5C%5C%28x%2B16%29%28x-12%29%3D0%5C%5C%5C%5Cx%3D-16%5C%20and%5C%2012)
But height cant be negative so, height will be 12 feet.
Hence, height at which the wire is attached to the pole is 12 feet.
Answer:
39 points
Step-by-step explanation:
Your school's football team scored 49 points.
Your team's score is 19 points more than the opponents score
The opponent score is represented as S
Since the total points that was scored is 49 and your team score is 19 then the equation can be written as follows
S+ 19= 49
Solve for S
S= 49-19
S= 30
Hence the opponent's score is 30 points
(3/5 + -1/4)/(7/10)
get a common denominator of 20
3/5 * 4/4 =12/20
-1/4 * 5/5 = -5/20
7/10 *2/2 = 17/20
replace
(12/20 - 5/20)/(14/20)
add the top
(7/20)/(14/20)
copy dot flip
7/20 * 20/14
7/14
1/2