Answer:
Option A. 4 radians
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have

substitute


step 2
Find the measure of angle 
we know that
The circumference of the circle subtends a central angle of 2π radians
so
using proportion
Find out the central angle by an arc length of 20 cm

Answer:
The equivalent factored form of this equation is (x² + 49)(x - 6)
Step-by-step explanation:
<em>x³ - 6x² + 49x - 294</em>
First, group the first and second terms together and group the last two terms together.
<em>(x³ - 6x²) + (49x - 294)</em>
Find the greatest common factor of both parentheses and factor them.
x²(x - 6) + 49(x - 6)
Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.
So, the factored form of the equation is (x² + 49)(x - 6)
Answer:
Dennis need 288.91 square inches of construction paper for his project.
Step-by-step explanation:
Dennis is cutting construction paper into rectangles for a project.
He needs to cut one rectangle that is 12 inches times 15 1/4 inches
First convert the mixed fraction to improper fraction

So the area of 1st rectangle is

He needs to cut another rectangle that is 10 1/3"" x 10 1/4""
The symbol " means inches
First convert the mixed fraction to improper fraction


So the area of 2nd rectangle is

The total construction paper needed for this project is

Therefore, Dennis need 288.91 square inches of construction paper for his project.
Answer:
0.25in.
Step-by-step explanation:
5÷20=0.25in.