What is a possible value for the missing term of the Geometric sequence. 50_450

Mathematics

2 answers:

kotegsom [21]3 years ago

5 0

Let the missing number be x
r= x/50= 450/x
x^2 = 22500
x = 150

Yuliya22 [10]3 years ago

4 0

Answer: The missing term of the Geometric sequence can be 150.

Step-by-step explanation:

Let the missing number is x,

Hence, the G.P. will,

50, x, 450

Since, the consecutive element of G.P. are in same ratio,

$\implies \frac{x}{50}= \frac{450}{x}$

$\implies x^2 = 50\times 450 = 22500$

$\implies x = 150$

Thus, the missing term of the Geometric sequence can be 150.

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tatiyna

Answer:

280 ft squared

Step-by-step explanation:

To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.

The total area is that of a rectangle: 30 * 15 = 450 ft squared.

Now, the shaded region is made up of a rectangle and a triangle.

- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.

- The triangle has base 12 and height 15, so using the area of a triangle formula: $A=(bh)/2$ (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.