Answer:61.8°
Step-by-step explanation:
Length of arc=(theta)/360 x 2 x π x radius
9.7=(theta)/360 x 2 x 3.14 x 9
9.7=56.52(theta)/360
cross multiply
9.7 x 360=56.52(theta)
3492=56.52(theta)
Divide both sides by 56.52
3492/56.52=56.52(theta)/56.52
61.8=theta
theta=61.8°
Answer:
The possible number of goats is 6 and the possible number of chicken is 24
Step-by-step explanation:
Let
chicken=c
Goat=g
the number of chickens could be four times the number of goats
c=4g
Total number of animals=30
c+g=30
Recall, c=4g
So,
c+g=30
4g+g=30
5g=30
Divide both sides by 5
5g/5=30/5
g=6
Recall,
c+g=30
c+6=30
c=30-6
=24
c=24
The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals
<span>0.5x - 0.1 = -2.9
When you multiply each side of an equation by the same number,
you don't change the equation or its solution. If you want to get rid
of the decimals, you could multiply each side by 10. Then the
equation is
5x - 1 = -29
You should be able to solve that without help.
But I'm about to take your points, so here's
how to solve that equation:
</span><span><span>5x - 1 = -29
Add 1 to each side: 5x = -28
Divide each side by 5 : x = -28 / 5
Simplify the solution: x = -5 and 4/5 .
Again ... this is the same solution as the original equation
if we hadn't gotten rid of the decimals.
</span></span>
The absolute value is three.
Think of it like this. Whenever the absolute value is there, the number or expression inside, whether negative or positive takes a shower. When they are done showering, they are clean. The clean equals positive, all numbers after absolute value are positive so the answer is three.