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bazaltina [42]
3 years ago
10

Find an equation for the plane that contains the point p(−1,3,5)p(−1,3,5) and has the normal vector n=2i+4j−3kn=2i+4j−3k.

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0
Given a plane:
normal vector <2,4,-3>
passes through point (-1,3,5)

The equation of the plane is
&Pi; :  2(x-(-1))+4(y-3)-3(z-5)=0
expand and simplify
&Pi; :  2x+4y-3z+5=0
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Sedaia [141]

Answer:

Nicole's average speed is 30\ km/h.

Step-by-step explanation:

Given,

Speed of Kristen = 50\ km/h

Time taken by Kristen to cover the distance = 3\ h

Solution,

We can find out the distance traveled by Kristen by multiplying speed with time.

Distance = Speed\times Time

Distance =50\ km/h\times 3\ h=150\ km

The distance traveled by Kristen is equal to distance traveled by Nicole.

As the question said Kristen left 2 hours later and cover the distance in 3 hours.

That means Nicole take 5 hours to cover the distance.

So, For Nicole;

Distance = 150 km

Time = 5 hrs

Here we use the formula of speed.

Speed = \frac{Distance}{time}

Now substituting the values, we get;

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4 0
3 years ago
Hello help ASAP ASAP ASAP <br><br> giving brainliest if able to.
Elanso [62]

Answer:

11

Step-by-step explanation:

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Next, we'll find the other angle by subtracting 180-127, giving us 53.

Now, we can set up the expression: 39 + 53 + 8y = 180

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7 0
3 years ago
A wallet containing 5 five dollar bills, 7 ten dollar bills, 8 twenty dollar bills is found and returned to its owner the wallet
Dominik [7]

Answer:

The probability is 2/5 that a $20 bill will be drawn from the wallet.

Step-by-step explanation:

There are 20 total bills in the wallet (5 $5, 7 $10, and 8 $20, 5+7+8=20). So if the finder and returner of the wallet was to be given one of the bills drawn from the wallet there would be an 8/20 chance the owner of the wallet would pull a 20. That's because there are 20 total bills in the wallet and 8 of them are $20.  

Simplifying 8/20... 8/20= 4/10= 2/5.

So, there is a 2/5 chance that a $20 bill will be pulled out of the wallet.

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4 years ago
Are these triangles congruent? If so, name the triangle congruence method.
mars1129 [50]

Answer:

The answer you chose is correct

Step-by-step explanation:

4 0
3 years ago
A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
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3 years ago
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