These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and
round to the nearest tenth.
Please help thank you:)
Please help thank you:)
1 answer:
Answer:
<u>56.65 sq. m.</u>
Step-by-step explanation:
We would need to use "scale factor" for similar figures.
Lenths (1 dimensional) are related by a scale factor "k"
Area (2D) related by scale factor
Volume (3D) related by scale factor
Given Perimeter for both, we can say:
Perimeter of Smaller = k * Perimeter of Larger
20 = k * 34
k = 20/34
k = 0.5882
For area, we can similarly say:
Area of Smaller = * Area of Larger
19.6 = (0.5882)^2 * Area of Larger
19.6 = 0.3460 * Area of Larger
Hence,
<u>Area of Larger = 19.6/0.3460 = 56.65 sq. m.</u>
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Answer:
1,225 miles = 77616000 inches
Step-by-step explanation:
It is asked to find the number of inches in 1,225 miles
Given
1 inch ≈ 1.578 × 10^-5 miles
Therefore, 1 mile = 63360 inches
Therefore, 1,225 miles = 1225 x 63360 inches
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Therefore the final answer is
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Step-by-step explanation:
We have given,
A rational function : f(x) =
W need to find :
Point of discontinuity : - At x = 4, f(x) tends to reach infinity, So we get discontinuity point at x =4.
For no values of x, we get indetermined form (i.e ), Hence there is no holes
Vertical Asymptotes:
Plug y=f(x) = ∞ in f(x) to get vertical asymptote {We can us writing ∞ = }
i.e ∞ =
or
or x-4 =0
or x=4, Hence at x = 4, f(x) has a vertical asymptote
X -intercept :
Plug f(x)=0 , to get x intercept.
i.e 0 =
or x - 2 =0
or x = 2
Hence at x=2, f(x) has an x intercept
Horizontal asymptote:
Plug x = ∞ in f(x) to get horizontal asymptote.
i.e f(x) = =
or f(x) =
or f(x) = 1 = y
hence at y =f(x) = 1, we get horizontal asymptote