Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:
398.411
Step-by-step explanation:
Explanation has been given in the following attachments.
Answer:
To three decimal place = 0.030
Step-by-step explanation:
Let probability of death in white p (WH) = 86%
Let probability of death in black p(B) =12%
Let probability of death in Asian p(A) = 2%
Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408
Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528
Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007
If a sample is chosen and the cause is diabetes then the probability will be
Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian
0.02408 +0.00528 +0.0007 = 0.03006
To three decimal place = 0.030
Answer:
$4.35
Step-by-step explanation:
because 15% of 29 is 4.35
Answer: Exponential function
Step-by-step explanation:
A linear function is the form
, where m is the constant rate of change of y with respect to x and c is the y-intercept.
An exponential growth function is in the form 
, where r is the rate of growth (generally in percent) and A is initial value.
If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .
Hence it is an exponential equation.
