Jack is selling used computers. he is paid $15/h plus a 5% commission on sales. What dollar amount of computer sales must jack make to earn $1000 in a 40-h work week.

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

Answer:

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

I had this question on a test.

Answer:

Equation = 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Step-by-step explanation:

Vector equation of a line passing through two points A & B is : r = a + λ(b - a)

Given A = (9,9,2) ; B = (1,3,5)

Equation of line : r = 9i + 9j + 2k + λ [ (1-9) i + (3-9) j + (5-2) k ]

= 9i + 9j + 2k + λ ( -8i + -6j + 3k)

= 9i + 9j + 2k - λ ( 8i + 6j - 3k)

Answer:

18

Step-by-step explanation:

Do it by count how many side are there by the squares

Answer:

19

Step-by-step explanation

right on edge 2021

Answer:

Cost of car including VAT = $17,700

Step-by-step explanation:

Given:

Cost of car without VAT = $15,000

Rate of VAT = 18%

Find:

Cost of car including VAT

Computation:

Cost of VAT = Cost of car without VAT x Rate of VAT

Cost of VAT = 15,000 x 18%

Cost of VAT =  15,000 x 18

Cost of VAT = $2,700

Cost of car including VAT = Cost of car without VAT + Cost of VAT

Cost of car including VAT = 15.000 + 2700

Cost of car including VAT = $17,700

Answer:

3/8*5/7=15/56

Answer: SHEEEESHOOOOOO yesssirrrr big brainnnnnnn :clap clap:

Answer:

4 lol

Step-by-step explanation:

free point

Answer:

answer: 2 + 2 = 4

Lol!!!!!!!

Answer:

3 1/3 miles per hour

Step-by-step explanation:

's' = average speed

(5/2 ÷ 3/4) = (s ÷1)

(5/2 ÷ 3/4) = 10/3

10/3 = s/1

cross-multiply:

3s = 10

s = 10/3

s = 3 1/3 miles per hour

Answer:

Below in bold.

Step-by-step explanation:

- 5 - x^2 = -10

-x^2 = -10 + 5

-x^2 = -5

Divide through by -1:

x^2 = 5

x = -√5, √5.

Answer:

A. The others are equivalent to 7/8

Answer:

KE=4000J

Step-by-step explanation:

KE=1/2*mv²

KE=1/2×500×16²

KE=250×16²

KE=4000J

Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

Answer:

Since I don't know the accuracy of the diagram i would advise you to measure using a divider or a ruler.

Answer:

There is no no pic of a square

Step-by-step explanation:

Answer:

[tex]140[/tex]

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

[tex]3a+b+3=2a+2b+6[/tex]

Solving, we will get a in terms of b:

[tex]3a=2a+b+3,\\a=b+3[/tex]

Now we can substitute a for (b+3) into our equation:

[tex]5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}[/tex]

Therefore, the length of each side of this polygon is [tex]5(4+3)-2(4)+1=28[/tex].

Since the perimeter of the polygon consists of all five sides, the perimeter is:

[tex]p=28\cdot 5 =\boxed{140}[/tex]

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

you just add 8 + 8 + 8 it equals 24. rounded it will be 20

--------------------------------------------------

im pretty sure thats how you do it if not sorry

Answer:

-5

Step-by-step explanation:

4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5

Answer:

2.41

Step-by-step explanation:

Answer:

1250(pi) ft^3

or

3926.99 ft^3

Step-by-step explanation:

[tex](\pi {5}^{2} ) \times 50[/tex]

you have to put feet cubed at the end for units

Answer:

- Mode-The most repetitive number.

- Median:The number in the MIDDLE when they are IN ORDER.

- Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS.

- Range - THE BIGGEST minus the Smallest.

Step-by-step explanation:

;)

Answer:

mean: average of all the numbers, so add all numbers, divide by the amount of numbers you added

median: sort all the numbers from least to greatest, then the middle is the answer, if there are 2 in the middle, both are the answer

mode: the number that appeared most

range: the largest number minus the smallest number

Answer:

ummm they have biography for them but i don't know they full answer

Step-by-step explanation:

Answer:

She would save 4 kilometers

Step-by-step explanation:

Use pythagorean theorem

12² + 5² = 169

[tex] \sqrt{169} = 13[/tex]

17-13 = 4

Answer:

f= -15

Step-by-step explanation:

u just have to divide

-75/5= -15  so f equal -15

Answer:

F=-15

Step-by-step explanation:

You want to get f by it’s self so to do that you would have to divide. So you would divide 5 by -75 to get -15 ( it’s a negative because a negative number divided by a positive number is a negative number). To check your math you would take 5 and multiply by -15 and that equals -75 (a negative number times a positive number is a negative number)

Answer:

A = 78.5 ft

Step-by-step explanation:

D=10ft

R=D/2

R=5ft

A=πr²

A=π5²

A=π25

A=78.53982

A=78.5ft