Answer:
a) <em>Arc length (l) = 36 inches</em>
b)
The nearest angle in degrees θ = 103.18°
Step-by-step explanation:
<u><em>Step(i):</em></u>-
An arc has a central angle of 1.8 radians and a radius of 20 inches.
Given arc has a central angle of 1.8 radians and
radius of circle = 20 inches
Given arc has a central angle (θ ) = 1.8 radians
<em> Arc length (l) = r θ </em>
<em> l = 20 × 1.8 radians</em>
<em> l = 36</em>
The length of arc = 36 inches
b)
<em>we will convert radians to degree</em>
<em> 1.8 × 180° / π = 324° / π ≅ 103.18°</em>
The nearest angle in degrees θ = 103.18°
Answer:
The solution to the system of equations is (-6, 3)
Step-by-step explanation:
Plot both lines on a graph, find where they intersect IF they even intersect at all like in this case, and boom there's your answer. Hope that helps and have a good rest of your day.
Answer:
Total number of puppies in the litter = 11
Step-by-step explanation:
Let the number of yellow puppies in the litter = y
And the number of black puppies in the litter = b
If there was one less black puppy, ratio of yellow to black puppies = 
2(b - 1) = 3y
3y - 2b = -2 -----(1)
If there was one more black puppy, ratio of yellow puppies to black puppies = 
2y = b + 1
2y - b = 1 -------(2)
Equation (1) - 2× equation (2)
(3y - 2b) - 2(2y - b) = -2 - 2
3y - 4y - 2b + 2b = -4
y = 4
From equation (1),
3×4 - 2b = -2
12 - 2b = -2
-2b = -14
b = 7
Total number of puppies in the litter = 7 + 4 = 11
Step-by-step explanation:
= (4)(102)
= 408 (408) (0.04) = 16.32 16.32/7.2
= 2.26666667
In order to find the value of f(-2), you can plug -2 wherever x is.
f(x) = 6x^2 - 4
f(-2) = 6(-2)^2 - 4
f(-2) = 6(4) - 4
f(-2) = 24 - 4
f(-2) = 20
Thus, the value of f(-2) is 20. Hope this helps! If you have any other questions related to this, let me know.
