Which ordered pair is a solution of the equation?
1 answer:
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So the diagonal of cube
this was a practice act question so her's the answer
look at the cube through one of the faces
you will see the diagonal as the hypotonuse of a triangle
and also a triangle on the floor (look at attachment)
the ,diagonal is 28
a^2+b^2=28^2
a=b since it is a cube
remember that this is a 45,45 triangle so therefor
a=b=x
c=x√2 so
28=x√2
divide both sides by √2
28/(√2)=x
the diagonal on the floor is 28/(√2)
the sides of the triangle form another 45 45 90 triangle with 28/(√2) as hyponuse so
a=b=x
c=x√2=28/(√2)
solve for x
x√2=28/(√2)
divide both sides by √2
same as mujlitply both sides by 1/(√2) so
28/(√2) times 1/(√2)=28/(2)=14
the answer of 1 diagonal is 14 cm
the answer is 14cm
this was a practice act question so her's the answer
look at the cube through one of the faces
you will see the diagonal as the hypotonuse of a triangle
and also a triangle on the floor (look at attachment)
the ,diagonal is 28
a^2+b^2=28^2
a=b since it is a cube
remember that this is a 45,45 triangle so therefor
a=b=x
c=x√2 so
28=x√2
divide both sides by √2
28/(√2)=x
the diagonal on the floor is 28/(√2)
the sides of the triangle form another 45 45 90 triangle with 28/(√2) as hyponuse so
a=b=x
c=x√2=28/(√2)
solve for x
x√2=28/(√2)
divide both sides by √2
same as mujlitply both sides by 1/(√2) so
28/(√2) times 1/(√2)=28/(2)=14
the answer of 1 diagonal is 14 cm
the answer is 14cm
Refer to the attached image,
Peter hits a ball that is 20 inch from a wall means AB=20 in
A ball travels 34 in until it hits the wall means AC=34 in
It bounces back to a position means CD = 'x' in (Say)
It bounces back to CD which is 16 in from the wall means DE=16 in
We have to calculate the value of 'x'.
Since, ball is reflected from point C. By law of reflection which states the angle of reflection is equal to the angle of incidence.
So, = y degrees (say)
Since angles BCF and FCE are right angles.
So, (equation 1)
Now, in triangle ABC and CDE
(Each angle is right angle)
(From equation 1)
Therefore, triangle ABC is similar to triangle DEC by AA similarity.
So, the ratio of corresponding sides are equal.
Substituting the values,
x = 27.2 in
Therefore, the distance, x, the ball traveled after it bounced off the wall to get to the ending position is 27.2 in
