. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).

Answer:

x = π/4 and 5π/4

Step-by-step explanation:

Given the expression;

2cos²x - 1 = 0

2cos²x = 0+1

2cos²x = 1

cos²x = 1/2

cos x = ±√1/2

cos x = ±0.7071

x = arccos(±0.7071)

x = ±45 degrees

Convert to radians

Sence 180° = π rad

45°  = x

x = 45π/180

x = π/4

If x = -45°

Since cos is negative in the 3rd quadrant

x = 180 + 45

x = 225°

x = 225π/180

x = 45π/36

x = 5π/4

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

B

Step-by-step explanation:

If you're using a Casio calculator you can just change the mode to table mode. Put the equations as they are,decide the value of the X axis you want to start at and where you want to end. The step you can use 1 if you want. Press = button. You'll have the co-ordinates. Plot the co-ordinates of each equation and see which one gives a straight line graph. I started at -4 and ended at 5 and I used step 1

Answer:

2026.75 (units) squared

Step-by-step explanation:

SA of a cone = πr(r+h2+r2)

SA = π(12)(12+√(40^2)+(12^2))

SA = 12π(12+√1744)

Put in calculator and get 2026.75

9514 1404 393

Answer:

  20.0 square units

Step-by-step explanation:

There are many ways the area can be computed here. Perhaps the intended one is to find the length of the third side, then use the usual triangle area formula.

  b = √(c² -a²) = √(9² -7²) = √32 ≈ 5.7

Then the area is ...

  A = 1/2bh = 1/2(5.7)(7) ≈ 20.0

The area is approximately 20.0 square units.

_____

Additional comment

It is highly unusual to make use of rounded intermediate results. That is a guarantee that the final answer will have more error than necessary. Ordinarily, you would never do that.

An alternate solution might be ...

  angle = arccos(7/9) ≈ 38.9°

  area = 1/2(7)(9)sin(38.9°) ≈ 19.8 . . . . square units (assuming the sine value is not rounded to 0.6)

Answer:

Father=41

Son=19

Step-by-step explanation:

Father=f

Son=s

f+s=60

Eight years ago would mean that 16 is subtracted from 60 since there is both of them

3s+s=4s

4s=44

s=11

11+8=19

33+8=41

Step-by-step explanation:

here is the answer. Hope that helps.

Answer:

ok so we have to find the perimiter so

60+60=120

30+30=60

120+60=180

Hope This Helps!!!

Answer:

a = 15

34.8 + b = 54.6

Step-by-step explanation:

First one:

5a - 10b = 45  (b = 3)

5a - 10(3) = 45

5a - 30 = 45

5a = 75

a = 15

Second one

b + a + 3a = 54.6

b + 4a = 54.6   ( a = 8.7)

b + 4(8.7) = 54.6

b + 34.8 = 54.6

34.8 + b = 54.6

Answer:

a=15 26.1 + b =54.6

Step-by-step explanation:

for the second question we first multiply 8.7 by 3 which gives us 26.1 and since there is only one answer with 26.1 it's it.

Answer:

M(-5/2, -2)

Step-by-step explanation:

Add the x-coordinates & divide by 2.

Add the y-coordinates and divide by 2.

x-coordinates: -4, -1

(-4 + (-1))/2 = -5/2

y-coordinates: -8, 4

(-8 + 4)/2 = -4/2 = -2

M(-5/2, -2)

Answer:

So I did my work so many times and I got 9 but I don't know Imaooo sry :)

Step-by-step explanation:

Answer:

41/30

Step-by-step explanation:

2/3 + 1/5 + 2/4

= 41/30

Answer: 8

Step-by-step explanation:

Answer:

measure of angle V + measure angle W = VUF

Answer:

∠ VUF = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

∠ VUF is an exterior angle of the triangle, then

∠ VUF = 71° + 23° = 94°

Answer:

acute angle and number 3 is obtuse

Step-by-step explanation:

(r,θ) = (7.28,254.05°) are 2-7i in polar coordinates on the complex plane.

The polar coordinates system is a two-dimensional coordinate system in which each point is determined by distance from the point and an angle from the reference direction.

I. Polar form = (r,θ) = (7.28,254.05°)

z = 2 - i7

r= [tex]\sqrt{ 2^2+-7^2}[/tex]

= √53

 = 7.28

θ = tan^-1 (-7/-2)

  =3.5

  = 74.05

Point lies in the third quadrant

Hence θ = 180+74.05

              = 254.05°

Polar form = (r,θ) = (7.28,254.05°)

II. Z=16

De Moivre's theorem states if

z= r(cos(θ) + i sin (θ)) , then

[tex]z^2=r^2(cos(n\theta)+ i sin (n\theta))[/tex]

[tex]r= \sqrt{1^2+1^2}[/tex]

= √2

θ= arc tan (1/1)

  = π / 4

z= √2 (cos (π / 4)+i sin (π / 4))

z^8 = (√2 (cos (π / 4)+i sin (π / 4)))^8

= (√2 (cos (8π / 4)+i sin (8π / 4)))^8

=16 (cos(2π) + i sin (2π)

=16

Learn more about polar form;

https://brainly.com/question/13640455

#SPJ2

Answer:

Option A

Step-by-step explanation:

If the speed of a car in miles per hour (m) is proportional to the speed in kilometers per hour (k),

m ∝ k

m = ck

Here, c = Proportionality constant

Therefore, c = [tex]\frac{m}{k}[/tex] should be constant for each value given in the table.

For m = 11 and k = 17.699,

c = [tex]\frac{11}{17.699}[/tex]

c = 0.6215

For m = 26 and k = 41.834,

c = [tex]\frac{26}{41.834}[/tex]

c = 0.6215

For m = 34 and k = 54.706,

c = [tex]\frac{34}{54.706}[/tex]

c = 0.6215

Therefore, c is constant for each value of m and k.

Option A will be the correct option.

Answer:

The trainers are 44.71% off the original price i think.

Step-by-step explanation:

answer:

-4

Step-by-step explanation:

-3x>12

x<-4

the correct graph is graph b

Answer:

Step-by-step explanation:

The easiest way to solve this is with calculus, believe it or not. The position function is

[tex]s(t)=-16t^2+64t[/tex]. The first derivative of this is the velocity function:

v(t) = -32t + 64. From physics, we know that at the max height of an object's path, the velocity is equal to 0, so setting this velocity equation equal to 0 and solving for time, will tell us the time it took to get to the max height (which we don't know yet, but we will in a bit):

0 = -32t + 64 and

-64 = -32t so

t = 2 seconds. It takes 2 seconds to reach a max height. Plugging that 2 in for t in the position function will tell you the max height that corresponds to this time:

[tex]s(2)=-16(2)^2+64(2)[/tex] and

s(2) = 64 feet.

So the max height is 64 feet and it is reached at 2 seconds after launching.

Also from physics we know that at halfway through a parabolic path, which is also the max height, we are halfway through time-wise as well. That means that if it takes 2 seconds to reach the max height from the ground, it will take another 2 seconds to fall to the ground.

So the total time the rocket is in the air is 4 seconds: 2 seconds to reach the max height and another 2 to fall back down.

Answer:

Step-by-step explanation:

pls mark me as brainlist

thanks a lot

Answer:

Hexagon AGHBGHCGHDGHEGHFGH coincides with hexagon ABCDEF when GH passes through the midpoints of opposite sides; that is, it is a perpendicular bisector of the two sides. HexagonAGHBGHCGHDGHEGHFGH also coincides with hexagon ABCDEF when the line of reflection joins a pair of vertices opposite one another on the hexagon. There are three perpendicular bisectors and three pairs of opposite vertices. In all, there are six lines of reflection that will map the hexagon back onto itself.

Step-by-step explanation:

Answer:

14.8f + 1.8g + 12.1d

Step-by-step explanation:

combine like terms.

3.6+8.5= 12.1

6.2+8.6= 14.8

-2.7+4.5= 1.8

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

There's all the lengths so you don't have to search them all up

Answer:

When a point is reflected across the y axis the values of x change. They become negative values of x.

Answer:

(B) The x-coordinate changes.

Step-by-step explanation:

Answer:

Inverse sine

Step-by-step explanation:

Recall the three common trig ratios

Remember SohCahToa

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse (CAH)

Tangent = Opposite over Adjacent (TOA)

Now let's look back at the question

It asks us which inverse function would we use to solve for angle Z

Looking at angle Z, we are given it's opposite side length and the hypotenuse ( longest side ).

When dealing with the opposite side length and hypotenuse we use trig function sine.

When trying to find the angle we use inverse so we would use inverse sine to find the measure of angle A

Answer:

Step-by-step explanation:

Six liters of paint will cover 50 square meters.

  6L ⇒ 50m²

then,

  1L ⇒ 50/6 m²

  9L ⇒ 50 × [tex]\frac{9}{6}[/tex] m²

       ⇒ 75 m²

Answer:

IK≅WY

Step-by-step explanation: