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3 years ago

7

a globe has a diameter of 12 inches. it fits inside a cube-shaped box that has a side length of 12 inches. What is the volume, r

ounded to the nearest hundredth of the space inside the box that is not taken up by the globe

1 answer:

baherus [9]3 years ago

7 0

Answer:

823.68 inches

Step-by-step explanation:

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Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate

kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality $x^{2}-5x+4\leq 0$ . To do that, factorize, then we have that $(x-4)(x-1)\leq 0$ . This implies that

$x-1\leq 0\, \text{and}\, x-4\geq 0$

or

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To show that $A\cap B\subseteq C$ consider $x\in A\cap B$ . Then $1\leq x \leq 4\, \text{and}\, 1$ , this implies that $3$ , then $x\in C$ . Now, to show that $C\subseteq A\cap B$ consider $x\in C$ , then $3$ , then $1\leq x \leq 4\, \text{and}\, 3$ , then $x\in [1,4] \, \text{and}\, x\in (3,5)$ , this implies that $x\in A\cap B$ .

Observe the image below.

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4 years ago

A right cylinder has the radius of 3.5cm and the height of 11cm if i place 3 ice cube with edge length of 2cm in the glass what

Brrunno [24]

Answer:

Volume of cylinder =

$\pi \times r {}^{2} \times h$

$\pi \times 3.5 {}^{2} \times 11 = 423cm {}^{3}$

Volume of 1 ice cube = 2*2*2= 8cm3

Volume of 3 ice cubes= 3*8= 24cm3

Volume of juice added = 423-24 = 399 cm3

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3 years ago