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Rina8888 [55]
3 years ago
8

Which of these triangle pairs can be mapped to each other using a translation and a rotation about a point A? Select one answer

Mathematics
1 answer:
Elenna [48]3 years ago
5 0
The answer is the first and the third figure,attached
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Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).
aniked [119]
Parameterize the surface by

\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)
\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)

where (s,t)\in(0,1)\times(0,1). We have

\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s

The surface integral is then

\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds
=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)
=\dfrac{\sqrt{181}}3
7 0
3 years ago
Is this a relation or a function explain your answer
mash [69]
Relation because a function can not have two ( , ) with the same x value.
4 0
3 years ago
A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you
siniylev [52]

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

7 0
2 years ago
Help me please im strugglin
IRINA_888 [86]

Answer:

propotianal

Step-by-step explanation:

Rise is how many you go up on the y axis x axis is how many you go to the left or right on the x axis if the number is negative you go the the right. the points match up with -4/1 - 1 so it's is proportional please give me brainliest

3 0
3 years ago
7x to the power of 2 is a what is it<br>a) monomial<br>b) binomial<br>c) Trinomial​
Sedaia [141]
You can use the prefixes to figure this out:
Mono: one
Bi: two
Tri: three

So, because there is only one term, it is a monomial.
4 0
2 years ago
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