What is (5^3)6 in index form?

GenaCL600 [577]

Answer:

x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

x/60 = 60/25

Multiply by 60 to find x:

x = (60·60)/25

x = 144

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Comment on this geometry

You may have noticed that the above equation can be written in the form ...

60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

3 0

3 years ago

Divide R300 000 between Leona and Janet in the ratio 3:2.

ella [17]

Answer:

let the ratio be in x 

a/q. 3x + 2x = 300000

 5x = 300000

x = 300000/5

x= 60000

Leona = 60000*3 = 180000

Janet = 60000*2 = 120000

hope it helps

5 0

2 years ago

Solve 3 - x=-9 a. x=16 b.x=12 c.x=-6 d.x=12

shutvik [7]

Answer:

3 - x =-9

3+ 9 =x

x = 12

so, correct answer

x =12

8 0

3 years ago

Read 2 more answers

3 bananas cost $0.99. At this rate, how much do 5 bananas cost?

Ierofanga [76]

Answer:

$1.65

Step-by-step explanation:

first i divided 0.99 by 3, equalling 0.33. i then multiplied 5 times 0.99 to equal 1.65.

7 0

3 years ago

What is the slope of a line that is parallel to a line with slope of m=-6/5.What is the slope of the line that is perpendicular

Verdich [7]

Answer:

a) m = -6/5

b) m = -5/6

Step-by-step explanation:

The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.

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The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.

8 0

3 years ago