Write a algebraic expression
1. the product of the third power of a and the fourth power of b

2. six less than three times the square of y

3. the sum of a and b increase by the quotient of b and a

4. four times the sum of r and a increased by twice the different r and s

5. triple the difference of 55 and cube of w

1. .

2. .

3. .

4. .

5. .

Step-by-step explanation:

1. The product of the third power of a and the fourth power of b = .

The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.

2. Six less than three times the square of Y means .

Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.

3. The sum of a and b increase by the quotient of b and a means .

Here, 'quotient of b and a' means 'b divided by a'.

4. Four times the sum of r and a increased by twice the different r and s means .

Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.

5. Triple the difference of 55 and cube of w means .

Here, triple means 3 times. (Answer)

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841