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Alexandra [31]
3 years ago
12

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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Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}

A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

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A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

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Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

\frac{A_{1}}{A_{2}} = 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

7 0
3 years ago
Surface area... help me
alexandr402 [8]

Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Hope this is what you were looking for

6 0
2 years ago
Step by step completion
zlopas [31]
Hope it helps!
#MissionExam001

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SpyIntel [72]

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