The tangent of an angle is the opposite side divided by the adjacent side of the triangle, relative to the angle. By tan theta = 3, it means that, the adjacent side is thrice as long as the opposite side.
3a = o
Then, using Pythagorean's theorem:
25² = a² + o²
Substituting o,
25² = a² + (3a)²
25² = a² + 9a²
25² = 10a²
a = 7.9 cm
Then, 3(7.9) = o = 23.7 cm
So, the opposite side is 23.7 cm and the adjacent side is 7.9 cm.
Use the <u>factor pairs</u> of 36. You'll find that he has
9 different ways to arrange them:
<em>1 x 36</em> ... 1 tulip each in 36 vases, or 36 tulips in1 vase
<em>2 x18</em> ... 2 tulips each in 18 vases, or 18 tulips each in 2 vases
<em>3 x 12</em> ... 3 tulips each in 12 vases, or 12 tulips each in 3 vases
<em>4 x 9</em> ... 4 tulips each in 9 vases, or 9 tulips each in 4 vases
<em>6 x 6</em> ... 6 tulips each in 6 vases
Answer: 114
Step-by-step explanation:
Let the number be y
35% of y = 40
35/100 × y = 40
35y/40 = 100
Cross multiply
35y = 100×40
35y= 4000
y= 4000/35
y= 114.29
The number is 114.29
