Answer:
x = 25.734083
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
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.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
Substituting:
Solving for x:
Calculating:
x = 25.734083
Round to 3 decimals:
3/40 is a fraction itself.
F(x)=1/3-1/21x
0=1/3-1/21x multiply both side by 21
0=7-x
X=7
Answer:
120 minutes
Step-by-step explanation:
large horse + small horse = together
1 pool/40 minutes + x = 1pool/30 minutes
1/40 + x = 1/30
subtract 1/40 from both sides
x = 1/30 - 1/40
use 120 as common denominator
x = 4/120 - 3/120
x = 1/120
x = 1 pool / 120 minutes
It takes the small horse 120 minutes
To find out the average score, all we need to do is to add all the scores and then divide the result by the amount of numbers we added. So in this situation it'll look like this:
(10.2 + 11.4 + 10.5 + 12.6 + 12.2 + 11.6 + 13.1 + 12.8) ÷ 8 =
= 94.4 ÷ 8 =
= 11.8
Answer: Marvin's average score was 11.8.