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3 years ago

Write a real-world problem that could be represented by the following inequality. 70 + 5x < 30 + 15x

1 answer:

4 0

Justin wants to paint his room. So he put together some quotations from two different painters. The first painter's total charge was based on the number of hours (denoted as x) worked was modeled as f( x ) = 70 + 5 x, while that of the second painter was g( x ) = 30 + 15 x. Justin knows that it will take more than 4 hours to decorate the house so he was certain to go with the first painter whose cost is low-priced when the number of hours is above 4 hours.

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2. David determines that 3 sqrt 2 cis(7pi/4) = -3+3i. When he considers the graphical representation of these numbers, he knows

fiasKO [112]

The correct rectangular equivalence of 3sqrt(2)·cis(7pi/4 ) is:

3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.

<h3>Where did David go wrong?</h3>

David mistakenly interchanged the Sin function and the Cos function when he was calculating the problem.

Hence the correct rectangular equivalence is:

3sqrt(2)·cos( 7pi/4 ) + i·sqrt(2)·sin( 7pi/4 ) = 3 - 3i.

<h3>What is rectangular equivalence?</h3>

An equation is rectangular in form when it is comprised of Variables like X and Y and can be represented on a Cartesian Plane.

Learn more about rectangular equivalence at:
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5 0

1 year ago

Help i only have a day. 5% of what number is 12? Round your answer to the nearest tenth place if necessary. (Use any method to s

maw [93]

Answer:

240

Step-by-step explanation:

So here’s the step by step (for the show your work thingy)

so we can write an equation

0.05x=12

We use 0.05 becuase 5 percent is basically 5/100 and the x is used becuase we don’t know what the number is and the =12 is for the number that came out as a final result

ow we can solve the equation

x=12/0/05

x=240

Final answer is 240

3 0

2 years ago

Beach towels are on sale for $1.50 off the regular price. Ms. Ortiz buys 4 beach towels on sale for a total of $33.96. Write and

Nadya [2.5K]

Answer:

9.99

Step-by-step explanation:

(33.96/4)+1.5

3 0

2 years ago

2. (02.01 LC)<br> 2x - 20<br> Solve:<br> 2x = 20<br> = 2x

Lubov Fominskaja [6]

The answer is x = 10

6 0

2 years ago

A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from t

anygoal [31]

9514 1404 393

Answer:

38.5°

Step-by-step explanation:

A triangle solver can give an answer easily. The angle is 38.5°.

The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.

C = arccos((a² +b² -c²)/(2ab))

Here, we have a=35, b=48, c=30, so the angle is ...

C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°

The angle the cable makes with the pole is about 38.5°.

6 0

2 years ago