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professor190 [17]
4 years ago
5

Consider the geometric sequence 4, 40, 400, 4000, ... Write the sequence in another way.

Mathematics
1 answer:
Eva8 [605]4 years ago
6 0
The sequence is 10 !!!!
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Find the missing side lengths. leave your answers as radicals in simplest form.
Murrr4er [49]

Answer:

x = 4 , y = 2

Step-by-step explanation:

Using the sine / tangent ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} and tan60° = \sqrt{3} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{2\sqrt{3} }{x} = \frac{\sqrt{3} }{2} ( cross- multiply )

x \sqrt{3} = 4\sqrt{3} ( divide both sides by \sqrt{3} )

x = 4

and

tan60° = \frac{opposite}{adjacent} = \frac{2\sqrt{3} }{y} = \sqrt{3} ( multiply both sides by y )

y \sqrt{3} = 2\sqrt{3} ( divide both sides by \sqrt{3} )

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3 years ago
What is the area of a triangle with a height of 14 feet and a base of 10 feet​
timama [110]

Answer:

Area is 70ft

Step-by-step explanation:

Area of a triangle is A=b × h/ 2 or A=1/2×bh

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Solve,

A=1/2×14×10

A=1/2×140

A=70

Therefore, the area is 70 feet

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4 years ago
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lisov135 [29]
5x=440
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then you woukd just divide 440÷5=88
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