Answer:
∠ A = 50°
Step-by-step explanation:
The angle adjacent to 145° inside the triangle is
180° - 145° = 35°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
85° is an exterior angle of the triangle , then
∠ A + 35° = 85 ( subtract 35° from both sides )
∠ A = 50°
First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so

and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins.
Answer:
416 g
Step-by-step explanation:
The mean is calculated as
mean =
, then
= 398 ( multiply both sides by 5 )
sum of 5 pods = 1990 g
let x be the weight of the sixth pod , then
= 401 ( multiply both sides by 6 )
1990 + x = 2406 ( subtract 1990 from both sides )
x = 416
That is the weight of the sixth pod is 416 g
Answer:
because they all have 3 corners
Answer:
The lesser number of workbooks are 1,000
Step-by-step explanation:
The correct question is
The profit P (in thousands of dollars) for an educational publisher can be modeled by P=-b³+5b²+b where b is the number of workbooks printed (in thousands). Currently, the publisher prints 5000 workbooks and makes a profit of $5000. What lesser number of workbooks could the publisher print and still yield the same profit?
we have
For 
substitute in the equation and solve for b
Remember that the profit and the number of workbooks is in thousands
so
P=5

Using a graphing tool
Solve the cubic function
The solutions are
x=-1
x=1
x=5
therefore
The lesser number of workbooks are 1,000
<u><em>Verify</em></u>
For b=1
-----> is in thousands
so
----> is ok