The lengths of the
1 answer:
Answer:
= 4·
Step-by-step explanation:
From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side
Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC
We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;
ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.
The length of the perimeter of ΔABC, = 2 × The length of the perimeter of triangle ΔEDC,
= 2 ×
∴ ≠ 4 ×
The statement which is incorrect is therefore;
= 4 ×
.
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Answer:
∫₂⁵ ln(x) dx
Step-by-step explanation:
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln((2n + 3i) / n)
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln(2 + (3/n) i)
The width of the interval is b−a = 3, and there are n rectangles. So the width of each rectangle is 3/n, and the height of each rectangle is ln(2 + (3/n) i).
The ith term is 2 + (3/n) i, so a = x₀ = 2. Therefore, b = 2+3 = 5.
So the region is the area under f(x) = ln(x) between x=2 and x=5.
∫₂⁵ ln(x) dx
<h3>Answer: {4, 14, 20}</h3>
Don't forget about the curly braces.
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Explanation:
The upside down "U" symbol means "intersect". We're looking for where the two sets intersect or overlap. In other words, we're looking for all of the values are in both sets at the same time. It might help to draw out the Venn diagram (see the image attachment below).
The numbers 4, 14, and 20 are found in both set A and set B at the same time. Therefore, . Something like the value 7 is only found in set A, but not in set B. So we'll ignore that value. Similar things happen with 10 and 17 for set A, and also 1 and 9 for set B.
So that's why the answer you type in is {4, 14, 20}. The curly braces are there to tell the reader we're dealing with a set of values.