Answer:
28 centimeters
Step-by-step explanation:
<h3>The constant of variation is
</h3><h3>The equation is
</h3>
<em><u>Solution:</u></em>
Given that,
The conversion of square feet to square yards can be represented by direct variation
Let y represent the number of square yards
Let x be the number of square feet
y = kx ------ eqn 1
Where, "k" is the constant of variation
Three square yards are equivalent to 27 square feet
Substitute, y = 3 and x = 27 in eqn 1
Thus the constant of variation is
<em><u>What is the equation representing the direct variation?</u></em>
Substitute k = 1/9 in eqn 1
Thus the equation is found
Answer: price of a senior citizen ticket = $3.71
Let the price of a child ticket = $4.43
Step-by-step explanation:
Let the price of a senior citizen ticket = x
Let the price of a child ticket = y
On the first day of ticket sales the school sold 22 senior citizen tickets and 10 child tickets for a total of $126. This will be:
22x + 10y = 126 ............ i
The school took in $51 on the second day by selling 3 senior citizen tickets and 9 child tickets. This will be:
3x + 9y = 51 ........... ii
22x + 10y = 126 ............ i
3x + 9y = 51 ........... ii
Multiply equation i by 3
Multiply equation ii by 22
66x + 30y = 378 ....... iii
66x + 198y = 1122 ........ iv
Subtract iii from iv
168y = 744
y = 744/168
y = 4.43
Since 3x + 9y = 51
3x + 9(4.43) = 51
3x + 39.87 = 51
3x = 51 - 39.87
3x = 11.13
x = 11.13/3
x = 3.71
sides: 13, 85, 84
-> scalene or acute triangle (all sides are not equal and are less than 90 degrees)
if they ask for side, it is scalene
if they ask for angle, it is acute.
To solve this problem you must apply a theorem called: Intersecting secant theorem. The proccedure is shown below:
1) For the figure shown on the left:
(5)(x+5)=(6)(4+6)
5x+25=60
5x=60-25
x=35/5
x=7
2) For the figure shown on the right:
(3)(3+5)=(4)(x+4)
24=4x+16
24-16=4x
8=4x
8/4=x
x=2