Answer:
<em>X = 29.9</em>
Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Selecting the angle of 18°:
Tangent Ratio:
Solving for X:
Operating:
X = 29.9
Answer:
B
Step-by-step explanation:
A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,
Thus,
Volume = length x width x height
Volume = 1 1/2 x 2 x 7/2
V = 3/2 x 4/2 x 7/2
V = 12/4 x 7/2
v = 84/6
V = 14
It took 50 hours to produce 3 oz of honey.
<u>Step-by-step explanation:</u>
Rate of production= 1.5% per hour
Initial amount of honey = 4 oz
Final amount of honey = 7 oz
Honey produced = 3 oz
Amount produced = (initial amount x rate x time) /100
3 = (4 x 1.5 x t) /100
300 = 6t
t = 300/6
t = 50 hours
It took 50 hours for the bees to produce 3 oz of honey.
