<span>In mathematics, polygons are similar if their corresponding angles are congruent and the ratio of their corresponding sides are in proportion.</span>
<span>Once we know that triangles (or any polygons) are similar, we also know some additional facts about the figures.</span>
9900 because you divide 99000 by 10
Answer:
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1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data below :
x : 89.3 68.6 32.7 37.3 39.7 46.7 66.1 79.4 66.4 52.1 47.3 64.4 53.7 63.4 46.2 63.0 92.1 57.6
Mean(m) = ΣX / n
ΣX = 1066 ; n = number of observations = 18
Mean(m) = 1066 / 18
Mean = 59.22
Standard deviation (σ) :
Using the online standard deviation calculator :
σ = √(Σ(x - m)²/n-1)
σ = √264.198395
σ = 16.72
The mean amount poured into a glass for the 18 samples is 59.22 while the variation in the data samples from the mean value is 16.72.
typical amount poured into a short, wide glass is 19.7 mL. A typical deviation from the mean amount poured is_____mL.
(59.22 - 19.7) mL = 39.52mL
Mean amount poured into a tall slender glass = 51.283
Mean (short wide glass) = 59.22mL
Mean (tall slender glass) = 51.283mL
Short wide glass > tall slender glass