when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.

$\cfrac{4}{x}~~ = ~~\cfrac{x}{9}\implies 36=x^2\implies \sqrt{36}=x\implies 6=x$

3 0

1 year ago

A special paint requires a mixture of paints: A, B and C. The ratio is: 60% A, 25% B, and 15% C. If you want 20 gallons of the s

emmasim [6.3K]

$20 \times .6 = 12$
12 gallons

8 0

2 years ago

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Solve for i in the following equation by means of linear interpolation<br>(1 + i)10 – 1<br>= 25

docker41 [41]

Answer:

$i=1.6$

Step-by-step explanation:

The given equation is

$(1+i)10-1=25$

To solve for $i$ , first, we need to sum 1 unit to each side of the equation.

$(1+i)10-1+1=25+1\\(1+i)10=26$

Then, we divide the equation by 10

$\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6$

Finally, we subtract each side with -1

$1+i-1=2.6-1\\i=1.6$

Therefore, the solution to the given equation is $i=1.6$

4 0

2 years ago