What is the answer to this geometry problem
1 answer:
Because we were not given any specific point to start off with. I choose (2,2), which is shown in red as 1.
We translate it 2 times.
a) (x+5)(y+3) = (2+5)(2+3) = (7,5) is our new point (shown in brown as 2)
Translation process shown in yellow.
b) (x-4)(y+2) = (7-4)(5+2) = (3,7) is our final point (shown in orange as 3)
Note that we use the 2nd point for the second translation as required.
Translation process shown in lime.
We can therefore determine from the picture below that you can use the translation (x+1)(y+5), which the translation process is shown in blue.
Proof: (x+1)(y+5) = (2+1)(2+5) = (3,7)
Now let's do it again, except we do the second translation first and the first translation last.
c) (x-4)(y+2) = (2-4)(2+2) = (-2,4) is our new point (shown in purple as 4)
Translation process shown in pink.
d) (x+5)(y+3) = (-2+5)(4+3) = (3,7) is our final point (shown in orange as 3)
Translation process shown in dark blue.
Same rules as (b). Notice how the final point is still the same? Therefore it makes no difference.
Hope I helped a lot :P
We translate it 2 times.
a) (x+5)(y+3) = (2+5)(2+3) = (7,5) is our new point (shown in brown as 2)
Translation process shown in yellow.
b) (x-4)(y+2) = (7-4)(5+2) = (3,7) is our final point (shown in orange as 3)
Note that we use the 2nd point for the second translation as required.
Translation process shown in lime.
We can therefore determine from the picture below that you can use the translation (x+1)(y+5), which the translation process is shown in blue.
Proof: (x+1)(y+5) = (2+1)(2+5) = (3,7)
Now let's do it again, except we do the second translation first and the first translation last.
c) (x-4)(y+2) = (2-4)(2+2) = (-2,4) is our new point (shown in purple as 4)
Translation process shown in pink.
d) (x+5)(y+3) = (-2+5)(4+3) = (3,7) is our final point (shown in orange as 3)
Translation process shown in dark blue.
Same rules as (b). Notice how the final point is still the same? Therefore it makes no difference.
Hope I helped a lot :P
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Answer:
The volume of the sphere is eight times the volume of hemisphere
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> volume of the hemisphere
y-----> volume of the sphere
in this problem we have
substitute
that means------> The volume of the sphere is eight times the volume of hemisphere
The value of the acute angle is 40°
Step-by-step explanation:
Let the angle be 'θ'
Length of the ramp = 1 m
Height = 0.643 m
To find :
The angle of elevation.
we can use sine to find the angle of elevation.
sin θ = 0.643/1
sin θ = 0.643
0.643 = sin 40°
sin θ = sin 40°
So, θ = 40°
The angle of elevation is 40°
If two events are independent, then
.
Use formulas for conditional probabilities:
.
For independent events these formulas will be:
.
Now in your case and
.
This shows that the only correct choice is A.