Well there weren't any muffins sold so 16x4=64, you have 64 muffins. Then you have 3x24 cupcakes so thats 72 muffins and if you sold 15 of them 72-15 that gives you 57. Leaving you with 64 muffins and 57 cupcakes.
Θ=<span><span>180<span>cos<span>−1</span></span><span>(<span>47</span>)/</span></span>π</span>=55.1501<span> degrees</span>
the base of the ladder is 18ft away from the wall
Given:
The length of the rectangle = 16 ft
The width of the rectangle = 12 ft
The diameter of the semicircle = 12 ft
To find the area of the given figure.
Formula
where,
be the area of the given figure
be the area of the rectangle
be the area of the semicircle.
- The area of the rectangle =
where, l be the length and b be the width - Area of the semicircle =
, r be the radius of the semicircle.
Now,
The radius of the semicircle r = 6 ft
Putting, r=6, l=16 and b= 12 we get,
sq ft
or,
sq ft
sq ft
or,
sq ft
So,
sq ft
= 248.52 sq ft
Rounding off to the nearest tenth, we get;
A=248.5 sq ft.
Hence,
The area of the composite figure is 248.5 sq ft.
Using logarithmic laws: log(a) + log(b) = log(ab)
log₄ (x + 9) + log₄ (x + 21) = log₄ [(x + 9)(x + 21)] = 3
Since we want the equation in terms of x, the next intuitive step is take 4 to the power of both sides, because the left hand side will simplify easily.



Solving the quadratic we get:



BUT, for the logarithmic equation to be defined, x > -9, so x≠ -25
Thus, the only solution is x = -5.