I am a 2 dimensional shape that had 5 obtuse angles

Mathematics

1 answer:

Montano1993 [528]3 years ago

5 0

Answer:

A pentagon.

Step-by-step explanation:

A pentagon is a 5-sided polygon. Its interior angles each are equivalent to 108°.

108° ≥ 90°, so the angles are obtuse.

Therefore, a 2-D shape with 5 obtuse angles is a <u>pentagon</u>.

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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul

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Answer:

5536 calculators

Step-by-step explanation:

We integrate the function dx/dt to obtain the number of new calculators between beginning of the 3rd week and end of week 4. Note that beginning of 3rd week is the same as end of 2nd week. So, $\int\limits^4_2 {\frac{dx}{dt} } \, dx$ = $\int\limits^4_2 {5000 (1 - \frac{100}{(t +12)^{2} }) } \, dx$

Let u = t + 12, then $\frac{du}{dt}$ = 1. So, du = dt. We also change the limits of our integration. So, when t = 2, u = 2 + 12 = 14 and when t = 4, u = 4 + 12 = 16

Then $\int\limits^4_2 {5000(1 -\frac{100}{(t+12)^{2} } )} \, dx$ = ∫₁₄¹⁶ ${5000(1 -\frac{100}{u^{2} } )} \, du = 5000[ u + \frac{100}{u} ]$ ₁₄¹⁶ = $5000[16 + \frac{100}{16} - (14 + \frac{100}{14} )] = 5000 [16 - 14 + \frac{100}{16} - \frac{100}{14} ] = 5000 [2 + \frac{100}{16} - \frac{100}{14} ] = 5535.7$