Score = 6x+y
so 6x+y = xy
⇒ 6x = xy-y
⇒ 6x = y(x-1)
⇒ y = 6x/(x-1)
for x=0, y=0
x=1 , not possible
x=2, y = 12
x = 3, y = 9
x = 4, y = 8
x = 5, y = 7.5 (not possible)
x = 6 , y = 7.1 (not possible)
x = 7, y = 7
x = 8, y = 6.85 (not possible)
x = 9, y = 6.75 (not possible)...
Only five scores are possible.
Answer:
Modified court is not similar to the standard court
Step-by-step explanation:
Given that :
Dimension of standard tennis court:
36ft by 78ft
Net height = 3 ft
Dimension of Modified Court :
27ft by 60ft
Net height = 3ft
To examine similarity :
We obtain the dilation factor for width and length :
(Standard court length / modified court length)
= 36 ft / 27 ft
= 4 / 3
Width :
Standard court width / modified court width)
= 78 ft / 60 ft
= 13 / 10
Since the dilation factor for the width and length are different, then we can conclude that the standard and modified court are not similar
The length of EF is 3.8
<h3>How to solve for EF?</h3>
To do this, we make use of the following law of sines
EF/sin(D)= DE/sin(F)
So, we have:
EF/sin(75)= 3/sin(50)
This gives
EF = sin(75) * 3/sin(50)
Evaluate the product
EF = 3.8
Hence, the length of EF is 3.8
Read more about law of sines at:
brainly.com/question/4372174
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Answer:
2500
Step-by-step explanation:
Answer:
90 male and 270 female
Step-by-step explanation:
As the ratio is 3:9, 9-3=6. 180 females cover 6 parts, and there are total 12 parts. This means there are 360 people in the concert, and there are 30 people per part. As male covers 3 parts, 30x3=90 male, and female covers 9 parts, and 30x9=270 female. Hope it helps!