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3 years ago

1. Mitchell got a job at Owens that pays $38,173 a year thanks to the help of an employment agency. The

Mathematics

1 answer:

Akimi4 [234]3 years ago

7 0

Answer:

38174:54*3*0.40

Step-by-step explanation:

1. calculate how much per week by

38174:54

2. than in 3 weeks

38174:54*3

3. than 40 percent of that

x*0.40

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Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If

Sliva [168]

Let:
Philadelphia be point a
Pittsburgh be point b
Distance traveled by Michelle be x
Distance traveled by Rich be 305 x

The general formula is:
distance = velocity (time)

substituting the values:
michelle: X = 65(t)
rich: 305 - X = 70 t

substituting both equations gives:
X = 146.562 miles

t = 2.26 hours or 2 hours and 15 mins

4 0

3 years ago

What is the solution?<br><br> 2x+y=-3

OLEGan [10]

2x+y+3=0
...................

5 0

3 years ago

|3x+6|+3=6<br> What is the answer?

GrogVix [38]

Answer:

x=-3 or x=-1

Step-by-step explanation:

Subtract 3 from both sides of your equation, it should look like this |3x+6|+3-3=6-3.

Simplify to get |3x+6|=3

Apply the absolute rule to get 3x+6=-3 or 3x+6=3.

3x+6=-3 : x=-3

3x+6=3 : x=-1

I'm glad I was able to help have a great day!

8 0

3 years ago

Please answer this question now

Rashid [163]

Answer:

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

4 0

3 years ago

Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.

nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

$\sin (x+y) = 3\sin (x-y)$

Using the identities

$\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\$

we get

$\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y$

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

$3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}$

7 0

3 years ago