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Gnesinka [82]
3 years ago
12

An electrician charges a $100 flat fee, plus $75 per hour to work on a house. Complete the table that shows the cost of hiring t

he electrician for 3 hours. Please help me with this.
Mathematics
2 answers:
IceJOKER [234]3 years ago
6 0

Answer:the $100 is a flat fee. So you only pay it once. The 75 dollars per hour applies to how long the person works. 75x+100

Step-by-step explanation:

Alinara [238K]3 years ago
5 0

Answer:

$325

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, 100+75x with x being the number of hours.

100+75(3)

100+225

$325 for 3 hours

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

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True or false: the equation tan^2x+1=sec^2x
zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

{ \tan}^{2} x + 1 =  {( \frac{1}{ \cos(x) }) }^{2}

{ \tan}^{2} x + 1 =  { \sec}^{2} x

This identity has been verified .Therefore the correct answer is true.

3 0
3 years ago
A square and a rectangle have the same perimeter. Find the side lengths of each figure.
aliina [53]
X + 1 + X + 1 + X +1+ X +1 = 2X -3+ 2X -3+ X -1+ X -1
4x + 4 = 4x-6+2x-2
4x+4=6x-8
12=2x
6=x

Side lengths:
6-1=5
6+1=7
2(6)-3=9

Hope that helps! Stay safe!
4 0
3 years ago
Read 2 more answers
What is the volume of this solid? Recall the formula V = Bh.
Viktor [21]

Answer:

280

Step-by-step explanation:

V=Bh

V=1/2(7x10)8      *it is a triangluar pyrmid so the base is a triangle*

V=1/2x70x8

V=35x8

V=280

Answer:280

5 0
3 years ago
Read 2 more answers
Someone help please
Alla [95]

Answer:  Choice A

\tan(\alpha)*\cot^2(\alpha)\\\\

============================================================

Explanation:

Recall that \tan(x) = \frac{\sin(x)}{\cos(x)} and \cot(x) = \frac{\cos(x)}{\sin(x)}. The connection between tangent and cotangent is simply involving the reciprocal

From this, we can say,

\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\

In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.

All of this shows why \tan(\alpha)*\cot^2(\alpha)\\\\ is identical to \frac{\cos(\alpha)}{\sin(\alpha)}\\\\

Therefore, \tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\ is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.

You can visually confirm that \tan(\alpha)*\cot^2(\alpha)\\\\ is the same as \frac{\cos(\alpha)}{\sin(\alpha)}\\\\ by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.

6 0
3 years ago
ANYONE HELP THIS IS HARD PLS
Artyom0805 [142]

Answer:

3rd from the top

Step-by-step explanation:

5 0
3 years ago
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