The distance between the tops of the poles is the hypotenuse of the triangle which is equal to the square root of (12^2 + 5^2)
The hypotenuse = square root (144 + 25) = 13 ft
Answer:
1.
31, 37, 43, 49, 55
2.
for nth number the value is 31+6(n-1)
3.
24th number, 169-31=138 and 138/6=23
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Step-by-step explanation:
Number of sodas sold = x
Number of hot dogs sold = x - 54
Total number of sodas and hot dogs = x + x - 54 = 2x - 54
Total number = 102
2x - 54 = 102
2x = 156
x = 78
Number of sodas sold = x = 78
Number of hot dogs sold = x - 54 = 78 - 54 = 24
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Answer:
B. 4
Step-by-step explanation:
Rearrange the equation so that is in the form (ax² + bx + c = 0).
6x² - 3x + 36 = 5x² + 10x
x² - 3x + 36 = 10x
x² - 13x + 36 = 0
Now, factor the equation and solve for x.
x² - 13x + 36 = 0
(x - 4)(x - 9) = 0
x - 4 = 0
x = 4
x - 9 = 0
x = 9
The solutions to the equation are 4 and 9. The correct answer choice is B.
Answer:
x=-4, x=-1
Step-by-step explanation:
