Answer: he must pay $650 interest
Step-by-step explanation:
2000 x 0.650 x 1/2 = 650
Answer and explanation:
There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.
Those ratios relate two sides of a right triangle and one angle.
Assume the following features and measures of a right triangle ABC
- right angle: B, measure β
- hypotenuse (opposite to angle B): length b
- angle C: measure γ
- vertical leg (opposite to angle C): length c
- horizontal leg (opposite to angle A): length a
- angle A: measure α
Then, the trigonometric ratios are:
- sine (α) = opposite leg / hypotenuse = a / b
- cosine (α) = adjacent leg / hypotenuse = c / b
- tangent (α) = opposite leg / adjacent leg = a / c
- cosecant (α) = 1 / sine (α) = b / a
- secant (α) = 1 / cosine (α) = b / c
- cotangent (α) = 1 / tangent (α) = c / b
Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.
For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.
- sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
- cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3
Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.
The value of x will be 6
<u><em>Explanation</em></u>
According to the below diagram, UW is the angle bisector of ∠TUV
<u>That means,</u> 
Given that, 
and 
So, the equation will be......
So, the value of x will be 6.
Answer:
b < -1
Step-by-step explanation:
Step 1: Write inequality
-3(6b - 1) > 18 - 3b
Step 2: Solve for <em>b</em>
<u>Distribute -3:</u> -18b + 3 > 18 - 3b
<u>Add 18b to both sides:</u> 3 > 18 + 15b
<u>Subtract 18 on both sides:</u> -15 > 15b
<u>Divide both sides by 15:</u> -1 > b
<u>Rewrite:</u> b < -1
