Kenny is ordering uniforms for both the girls and the boys tennis clubs. He is ordering shirts for 43 players and 2 coaches at a
2 answers:
Each player pay for the shirt and visor $ 22.82
<h3>Further explanation </h3>Tennis is a game in which two or four players strike a ball with rackets over a net stretched across a court. The usual form (originally called lawn tennis ) is played with a felt-covered hollow rubber ball on a grass, clay, or artificial surface.
Kenny is ordering uniforms for both the girls and the boys tennis clubs. He is ordering shirts for 43 players and 2 coaches at a total cost of 658.35. In addition he is ordering visors for each player at a totsl cost of 368.51. How much will each player pay for the shirt and visor.
There are 45 total shirts and visors needed, for the 43 players and 2 coaches.
So we should divide each of the total costs by 45 , to see how much each individual person pays:
Shirt:
$ per person
Visor:
$ per person
Each person is buying a shirt and a visor, so by combine these two prices we get:
$ +$
per person
$ per person
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<h3>Answer details</h3>
Grade: 5
Subject: math
Chapter: uniforms
Keywords: uniforms, cost, tennis, shirt, visor, addition
Answer:
Each player pay for the shirt and visor is $23.2 .
Step-by-step explanation:
As given
Kenny is ordering uniforms for both the girls and the boys tennis clubs.
He is ordering shirts for 43 players and 2 coaches at a total cost of $658.35.
Thus
Total number of members for whom shirt are ordering = Total number of players + Total number of coaches
Total number of members for whom shirt are ordering = 43 + 2
= 45
Putting the values in the above
Cost of one shirt = $14.63
As given
In addition Kenny is ordering visors for each player at a totsl cost of $368.51.
Putting the values in the above
Cost of one visors = $8.57
Thus
Each player pay for the shirt and visor = Cost of one shirt + Cost of one visors
= $14.63 + $8.57
= $ 23.2
Therefore the each player pay for the shirt and visor is $23.2 .
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Given the heights, radii, and diagonals of the vertical cross-sections of the models, the model in which the lateral surface meet the base at a right angle is the model in which the height, the diameter and the diagonal of the vertical cross-section forms a right triangle.
i.e. the sum of the squares of the height (h) and the diameter (d) gives the square of the diagonal vertical cross-section (l).
For model 1:
<span>radius: 14 cm, thus diameter = 2(14) = 28 cm
height: 48 cm
diagonal: 50 cm
</span>
<span>
Thus, the lateral surface of model 1 does not meets the base at right angle.
For model 2:
</span><span>radius: 6 cm, thus diameter = 2(6) = 12 cm
height: 35 cm
diagonal: 37 cm
[</span>tex]d^2+h^2=12^2+35^2 \\ \\ =144+1,225=1,369=37^2=l^2[/tex]
Thus, the lateral surface of model 2 meets the base at right angle.
For model 3:
<span>radius: 20 cm, thus, diameter = 2(20) = 40 cm
height: 40 cm
diagonal: 60 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
For model 4:
<span>radius: 24 cm, thus, diameter = 2(24) = 48 cm
height: 9 cm
diagonal: 30 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
Therefore, the <span>model in which the lateral surface meets the base at a right angle is model 2 (option b)</span>
i.e. the sum of the squares of the height (h) and the diameter (d) gives the square of the diagonal vertical cross-section (l).
For model 1:
<span>radius: 14 cm, thus diameter = 2(14) = 28 cm
height: 48 cm
diagonal: 50 cm
</span>
<span>
Thus, the lateral surface of model 1 does not meets the base at right angle.
For model 2:
</span><span>radius: 6 cm, thus diameter = 2(6) = 12 cm
height: 35 cm
diagonal: 37 cm
[</span>tex]d^2+h^2=12^2+35^2 \\ \\ =144+1,225=1,369=37^2=l^2[/tex]
Thus, the lateral surface of model 2 meets the base at right angle.
For model 3:
<span>radius: 20 cm, thus, diameter = 2(20) = 40 cm
height: 40 cm
diagonal: 60 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
For model 4:
<span>radius: 24 cm, thus, diameter = 2(24) = 48 cm
height: 9 cm
diagonal: 30 cm
</span>
Thus, the lateral surface of model 3 does not meets the base at right angle.
Therefore, the <span>model in which the lateral surface meets the base at a right angle is model 2 (option b)</span>
Answer: The correct option is (B) 3.
Step-by-step explanation: We are given a circle X with radius 5 units and chord AB with length 8 units.
We are to find the length of segment XC that bisects chord.
We know that the line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.
So, in the given circle X, the segment XC is perpendicular to chord AB. Then, triangle XCB will be a right angled triangle with hypotenuse XB.
Since XC bisects AB, so the length of BC will be
And, radius, XB = 5 units.
Using Pythagoras theorem in triangle XCB, we have
Thus, the length of the segment XC is 3 units.
Option (B) is CORRECT.