Answer:$ 6,014.52
Step-by-step explanation:
If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

ways of picking the vowels, and

ways of picking the consonants.
We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

Keep in mind that this means words like TRIES and TIRES are treated as different.
Commutative Property of Multiplication.
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the value of x
In the large right triangle
----> by CAH (adjacent side divided by the hypotenuse)
Remember that

substitute

solve for x
---> improper fraction
step 2
Find the value of z
In the large right triangle
Applying the Pythagorean Theorem

substitute the value of x

solve for z




simplify

step 3
Find the value of y
In the right triangle of the right
---> by SOH (opposite side divided by the hypotenuse)
substitute the given values of y and z
Remember that

so

solve for y


step 4
Find the value of b
In the right triangle of the right
---> by CAH (adjacent side divided by the hypotenuse)
substitute the given values of y and z
Remember that

so

solve for y


A triangle is a three-edged polygon with three vertices. Only the law of Sine can be applied to solve the triangle.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The sum of all three angles can be written as,
118° + 22° + x = 180°
x = 40°
For the sine rule to be applicable, two angles and a side or an angle and two sides are needed. Therefore, the law of Sine can be applied to solve the triangle.
For the cosine rule to be applicable, two sides and an angle between them is needed to be known, hence, the law of cosine can not be applied.
Hence, Only the law of Sine can be applied to solve the triangle.
Learn more about Triangle:
brainly.com/question/2773823
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