Answer:
x = 60°
Step-by-step explanation:
AOB Center: O AB: diameter
arc ADB = 180°
arc DB = 180 - arc AD = 80°
x = 1/2 x ( arc DB + arc AC) = 1/2 x (80 + 40) = 60°
Answer:
The answer is c.
Step-by-step explanation:
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(a)

or, via symmetry

____________
(b)
By the chain rule:

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

Differentiating with respect to theta

2/3 is the slope
____________
(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
</span><span />
Answer:
Step-by-step explanation:
set the two equations equal to each other then solve for n
6n + 3 = 4n + 11
2n = 8
n = 4
plug n in for both equations
6(4) + 3
24 + 3 = 27
4(4) + 11
16 + 11 = 27
27 + 27 = 54
the distance is 54
Answer:
10 in
Step-by-step explanation:
Old proportions:
2 x 3
New proportions
h x 15
Assuming the painting has been increased by a constant scale factor.
Where x is the unknown scale factor, and h is the height after it has been enlarged.

Rearrange second equation:

Substitute:
