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Law Incorporation [45]
3 years ago
11

Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0).

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

  x + y + z = 14

Step-by-step explanation:

If the points are designated A, B, C, then ...

  AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).

That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...

  (1, 1, 1)·(x, y, z) = (1, 1, 1)·A

  x + y + z = 14

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A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what
grandymaker [24]

Answer:

i. 70%

ii. 70%

Step-by-step explanation:

Since in the question,  it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas

i. Now if half ordered tacos that means out of these 30 orders enchiladas.

since 30 ordered tacos that means 70% ordered enchiladas

ii. Now for 3 by 4 we have to assume the number of people who ordered only  enchiladas be x

So,

For both,  it would be 0.75 x

And, the number of people who did not order is 40 as 60 tacos are ordered by people

So, the percentage is

= 40 × 0.75 + 40

= 30 + 40

= 70%

6 0
3 years ago
HELP PLEASE! Can you please explain so I can understand how it was completed?
nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
3 years ago
If 3t-7=5t, then 6t =
Natalija [7]
The answer is:  " -21 " .
__________________________________________
We are asked to solve for: "6t" ; which is: "6 * t" .
__________________________________________
Given:  3t − 7 = 5t ;  Solve for "t" ; then solve for "6t" ;

     3t − 7 = 5t ;   Subtract "3t" from each side of the equation;
____________________________________________
    3t − 7 − 3t  =  5t − 3t ;

to get:  -7  = 2t  ;

Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;

-7/2 = 2t / 2 ;

-3.5 = t  ;  ↔  t = - 3.5 ;
____________________________________________
Now, solve for "6t" ;

  6 t = 6*(-3.5) = - 21 .   The answer is:  " -21 " .
____________________________________________
6 0
4 years ago
First to answer will be the brainliest I need the answer ASAP
tatuchka [14]
6b+2 I think I combined them and that’s what I got
3 0
3 years ago
Smoothie Stand at Utah’s Wasatch County’s Demolition Derby sells bananas. If John bought 55 lbs. of bananas at $.24 per pound ex
AlladinOne [14]
I'm assuming the 59% achievement means, markup, so hmmmm well, if the bananas cost him $0.24 or 24cents per pound, so a markup of 59% is just 59% of 0.24 then.

whatever% of anything is just (whatever/100) * anything.

therefore, 59% of 0.24 is just (59/100) * 0.24, or 0.1416.

so, if we add 0.1416 to the 0.24, the selling price will be 0.3816, or just 38cents per pound of bananas.
6 0
3 years ago
Read 2 more answers
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