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3 years ago

Find the equation of the plane through the point p=(5,5,4)p=(5,5,4) and parallel to the plane 5x+2y−z=−6.

1 answer:

7 0

The unit normal for the given plane is <5,2,-1>.
The equation of the plane parallel to the given plane passing through (5,5,4) is therefore
5(x-5)+2(y-5)-1(z-4)=0
simplify =>
5x+2y-z=25+10-4=31

Answer: the plane through (5,5,4) parallel to 5x+2y-z=-6 is 5x+2y-z=31

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Macy's buys a coat from the manufacturer for $22.00. They markup the coat by 75%. Ms. Tonyes buys the coat and uses a 15% off co

Arlecino [84]

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.

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3 years ago

7th grade math help me please :)

katovenus [111]

Answer:

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Step-by-step explanation:

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3 years ago

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Solve the following inequality: -7d + 8 > 29

Angelina_Jolie [31]

Answer:

d<-3

Step-by-step explanation:

-7d + 8 > 29

subtract 8 from each side

-7d>21

multiply both side by -1 and reverse the inequality sign

7d<-21

divide both sides by 7

d<-3

hope this helps :)

6 0

2 years ago

an office has an area of 120m squared and it is 12m wide. What is the lenght of the office? please answer in the next minutes

kari74 [83]

Answer:

The length of the office is 10m

Step-by-step explanation:

120/12= 10m

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3 years ago

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What is the volume of this pyramid? How would I go about this?

konstantin123 [22]

The volume of a pyramid is:
$\frac{lwh}{3}$

You need the height for this. You are given the hypotenuse of a triangle, and the base of that triangle is half of 42 if you can see that. So, let's solve for the height using pythagorean theorem:
$35^2 = 21^2+h^2$

Solve for h:
$b = \sqrt{35^2-21^2} = 28$

Now you have all the information, let's just plug everything in:
$\frac{42*42*28}{3} = 597.33$

So, your volume is 597.33 cm³. Hope everything makes sense. hmy if something doesn't.

6 0

3 years ago