anne is making a quilt.She made 1/4 of the quilt yesterday, and she made 3/8 of the quilt today. Choose the quilt that represent
1 answer:
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Answer:
The distance between R and R' is 3 units ⇒ 1st answer
Step-by-step explanation:
<u><em>A dilation</em></u> is a transformation that produces an image that is the same
shape as the original, but in a different size.
If the image is larger than the original figure then dilation is called an
enlargement.
If the image is smaller than the original figure then the dilation
is called a reduction.
The image of a line by dilation parallel to the original line if the original
line not passes through the center of dilation.
<em>Line segment QR is dilated to create line segment Q'R'</em>
∴ QR is parallel to Q'R'
<em>The factor of dilation is 1.5</em>
∴ The length of Q'R' is 1.5 the length of QR
In Δs TRQ and TR'Q'
∵ QR // Q'R'
∴ m∠TRQ = m∠TR'Q'
∴ m∠TQR = m∠TQ'R'
∵ ∠T is common in the two triangles
∴ ΔTRQ is similar to ΔTR'Q'
∴
∵
∵ TR' = TR + y
∵ Tr = 6 units
∴ TR' = 6 + y units
∵
∴
Multiply both sides by 6
∴ 9 = 6 + y
Subtract 6 from both sides
∴ 3 = y
* The distance between R and R' is 3 units
Answer:
The population increased by 34.69% over 20 years.
Step-by-step explanation:
It is given that the population of dolphins increases at a constant rate of 1.5% every year for 20 years.
Formula for population increase:
where, a is initial population, r is growth rate and t is time in years.
If the population of dolphins increases at a constant rate of 1.5% every year for 20 years, then the population after 20 years is
Where, a is the initial population.
The total percentage increase over the 20 years is
where, P is population after 20 years and a is initial amount.
Therefore the population increased by 34.69% over 20 years.