Answer:
13.3 cm
Step-by-step explanation:
Apply the Pythagorean Theorem:
hyp² = (2nd longest side)² + (shortest side)². Here the numbers are:
(24 cm)² = (20 cm)² + (shortest side)², or
576 - 400 = 176 = hyp²
Taking the square root of both sides, we get (shortest side) = 13.3 cm
Answer:
the dryer costs $425
Step-by-step explanation:
x = washer
y = dryer
x + y = 803
x = y - 47
using the second equation a substitute in the first equation we get
y - 47 + y = 803
2y = 850
y = $425
FYI
x = y - 47 = 425 - 47 = $378
Answer:
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Step-by-step explanation:
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
Answer:
10 hours
Step-by-step explanation:
Two boats leave a port at the same time, one going north and the other traveling south.
<u>Southbound boat rate</u> = 40 mph
The northbound boat travels 18 mph faster than the southbound boat.
<u>Northbound boat rate</u> = 40 + 18 = 58 mph
Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)
Total distance = 980 miles
Total rate = 98 mph
Time 
hours
