(1) 2 of one step equations
x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31
n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7
(2) 2 equations with fractions
3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3
1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4
(3) distributive property
3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18
Answer:
(1) 39 feet
Step-by-step explanation:
Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse(45 feet). Then we can solve the question using the sin formula.
sin x = opposite/hypotenuse
sin 120 = vertical distance/ 45 feet
vertical distance = 0.8660 * 45 feet
vertical distance =38.97 feet = 39 feet
Answer:
There are 10 orange marbles
Step-by-step explanation:
There are 25 marbles in the bag
40% are orange
To determine the number of orange marbles, we multiply the total number of marbles by the percent that are orange
25 *40% = number of orange marbles
25*.40
10
There are 10 orange marbles
We will use l´Hopital´s rule for calculating limits involving indeterminate form (in this case: ∞ / ∞ ) using the derivative of the numerator and denominator:
This is still form ∞/∞ and we will use the derivative again:
=1/∞ =
0The sequence converges.
