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xeze [42]
3 years ago
6

Choose the triangle that seems to be congruent to the given one

Mathematics
1 answer:
vivado [14]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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What is the maximum volume in cubic inches of an open box to be made from a 12-inch by 16-inch piece of cardboard by cutting out
Romashka-Z-Leto [24]

If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 12-2x and 16-2x, and a height of x.

So, the volume will be given by the product of the dimensions, i.e.

(12-2x)(16-2x)x = 4x^3-56x^2+192x

The derivative of this function is

12x^2-112x+192

and it equals zero if and only if

12x^2-112x+192=0 \iff x = \dfrac{14\pm 2\sqrt{13}}{3}

If we evaluate the volume function at these points, we have

f\left(\dfrac{14-2\sqrt{13}}{3}\right) = \dfrac{64}{27}(35+13\sqrt{13})> f\left(\dfrac{14-2\sqrt{13}}{3}\right) = -\dfrac{64}{27}(13\sqrt{13}-35)

So, the maximum volume is given if you cut a square with side length

x=\dfrac{14-2\sqrt{13}}{3}\approx 2.7

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2 years ago
What is the range of the ordered pairs shown in the graph?
Fudgin [204]
We need to see the graph to be able to answer the question
4 0
2 years ago
PLEASE HELP ME I BEG OF YOU IF YOU HELP ME I WILL GIVE YOU BRAINTLIEST"Julie goes to the sports store and spends $40.50 before t
Pie

Answer:

6.25

Step-by-step explanation:

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2 years ago
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levacccp [35]

Answer:

3

Step-by-step explanation:

(plz mark as branliest if correct)

4 0
2 years ago
Read 2 more answers
Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya plant
Greeley [361]

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

7 0
2 years ago
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