Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A’ be
located?
2 answers:
Answer:
Point A' will be located 10 units away from point A along ray PA
Step-by-step explanation:
we have
The scale factor is 3
step 1
Find out the distance PA'
we know that
The distance PA' is equal to multiply the distance PA by the scale factor
so
we have
substitute the given values
step 2
Find out how many units away from point A along ray PA will A’ be located
we know that
we have
substitute the given values and solve for AA'
therefore
Point A' will be located 10 units away from point A along ray PA
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Working together three workers would take 1 hour 36 minutes to finish the job
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Given that first worker can finish the job in 8 hours
So in one hour, first worker can do th of the work
The second worker can finish the job in 4 hours
So in one hour, second worker can do th of the work
The third worker can also finish the job in 4 hours
So in one hour, third worker can do th of the work
<em><u>The three workers working together in 1 hour can do:</u></em>
The three worker can thus do th of the work in one hour
Hence the three of them together can finish the work in hours
hours
Thus working together three workers would take 1 hour 36 minutes to finish the job
Answer:
B
Step-by-step explanation:
The volume (V) of a triangular prism is
V = area of triangular end × length
area of Δ = bh
where b is the base and h the perpendicular height
here b = 8 and h = 5, so
area = 0.5 × 8 × 5 = 20 units²
the length of the prism is 10, hence
V = 20 × 10 = 200 units³