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shusha [124]
2 years ago
5

4

Mathematics
1 answer:
Natali [406]2 years ago
8 0

The ratio of the area of ∆ABC to the area of ∆DEF is; 1:100.

<h3>What is the ratio of the area of ∆ABC to the area of ∆DEF?</h3>

Since, a major criterion for similarity and congruence of triangles is that the ratio of corresponding sides are equal.

On this note, since the task content suggest that the ratio of the perimeters is; 1:10, it follows from conventional mathematics that the ratio of their areas is given as; 1²:10²; 1:100.

Read more on congruent triangles;

brainly.com/question/9217675

#SPJ1

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Evaluating more integrals
Greeley [361]

(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.

(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area \frac{\pi10^2}2=50\pi, so the integral is -50π.

(c) First compute

\displaystyle\int_{30}^{35}g(x)\,\mathrm dx

which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.

Then split up the desired integral as

\displaystyle\int_0^{35}g(x)\,\mathrm dx=\int_0^{10}g(x)\,\mathrm dx+\int_{10}^{30}g(x)\,\mathrm dx+\int_{30}^{35}g(x)\,\mathrm dx

and plug in the integral values you know:

\displaystyle\int_0^{35}g(x)\,\mathrm dx=100-50\pi+\frac{25}2=\frac{225}2-50\pi

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The correct answer would be C.439:))))))
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One third of a number is 15 less than five sixths of the number. Find the number.
levacccp [35]
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