Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: <u>Similar</u> <u>Triangles</u> are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or <u>SSS</u> <u>similarity</u> and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
<span>The solution is:
x(t) = 3*t^2 - 0.130*t^3
v(t) = x'(t) = 6*t - 0.360*t^2
v(5) = 6*5 - 0.360*5^2 = 21 m/s
v(10) = 6*10 - 0.360*10^2 = 24 m/s
set v(t) = 0 and solve for t
0 = 6*t - 0.360t^2
0 = t*(6-0.360*t)
6-0.360*t = 0
t = 6/.360 = 16.7 s</span>
Answer:
10
Step-by-step explanation:
The IQR is the width of the box of the box plot. The box runs from 20 to 30, so its width is 10.
Hi,
So if I read correctly, there are 788 students each getting one of four colors of t-shirts (and there are an equal number of shirts per color). To do this, all you need to do is divide the number of students (788) by the number of colors (4) to see how many students get each color of t-shirt.
788 ÷ 4 = 197
Red is one of the four colors, and 197 is exactly one fourth of the students, so one-fourth of the students (197) get red.