Step-by-step explanation:
sin 46°= a/12.8
a = sin46° * 12.8 = 9.20
cos59°=b/16.8
b = cos59°*16.8 = 8.65
Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)
Value
Depreciation is defined as the reduction in value of an
asset over time. In this case, value reduction is due to wear and tear of an
equipment (bicycle).
a. The depreciation value would simply be the difference
in initial and salvage value divided by time in years.
Depreciation = (Initial value – Salvage value) / Number
of years
b. Substituting the given values into the equation where:
Initial value = $1200
Salvage value = $940
Number of years = 10 months = 10/12 years
Calculating:
Depreciation = ($1200 - $940) / (10/12 years)
Depreciation = $312 / year
or
<span>Depreciation = $26 / month</span>
Step-by-step explanation:
In statistics, the empirical rule states that for a normally distributed random variable,
- 68.27% of the data lies within one standard deviation of the mean.
- 95.45% of the data lies within two standard deviations of the mean.
- 99.73% of the data lies within three standard deviations of the mean.
In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

where the symbol
(the uppercase greek alphabet phi) is the cumulative density function of the normal distribution,
is the mean and
is the standard deviation of the normal distribution defined as
.
According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution
,

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.
Just divide as you normally would but 1 or 2 numbers at a time