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sukhopar [10]
4 years ago
11

What is the mistake loki made?

Mathematics
1 answer:
DerKrebs [107]4 years ago
5 0
Answer:
Loki didn’t square a and b

Answer explained:
Pythagorean Theorem is a^2 + b^2 = c^2
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Q.Jason has 3 red pencils and 6 yellow pencils. Which statement is true?
igor_vitrenko [27]

Answer:

The number of red pencils is 2 times the number of yellow pencils

5 0
3 years ago
Find an equation of the plane that passes through the point P0(- 3,3,1) with a normal vector n = (1,4, -3). Which of the followi
Flura [38]

Take an arbitrary vector (<em>x</em>, <em>y</em>, <em>z</em>), which goes from the origin to some point (<em>x</em>, <em>y</em>, <em>z</em>) on the plane we want to find.

Subtract from this vector, the vector that points to P_0, which is (-3, 3, 1). This translates the first vector so that it starts at the point P_0 and is directed at some point (<em>x</em>, <em>y</em>, <em>z</em>). We get a new translated vector, (<em>x</em> + 3, <em>y</em> - 3, <em>z</em> - 1), which lies in the plane.

The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:

\vec n\cdot((x,y,z)-P_0)=(1,4,-3)\cdot(x+3,y-3,z-1)=0

\implies(x+3)+4(y-3)-3(z-1)=0

\implies x+4y-3z=6

and so the answer is D.

6 0
3 years ago
A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perim
KiRa [710]

Answer:

17cm per side

Step-by-step explanation:

3 0
3 years ago
What are the properties of similar triangles?
goblinko [34]
Their corresponding sides are proportional and their corresponding angles are equal.
6 0
4 years ago
The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.
Harlamova29_29 [7]

Answer:

<em>Length of BO is </em><em>three times the length of DO.</em>

Step-by-step explanation:

In trapezoid ABCD, CD\ ||\ AB

In ΔCDO and ΔABO,

  1. m\angle CDO=m\angle ABO (Alternate interior angles)
  2. m\angle DCO=m\angle BAO (Alternate interior angles)

So, \Delta CDO\sim \Delta ABO according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{OA}

\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{3\cdot OC}

\Rightarrow \dfrac{OD}{OB}=\dfrac{1}{3}

\Rightarrow OB=3\cdot OD


5 0
3 years ago
Read 2 more answers
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