1) The larger number is 33.
2) Joan weighs 47.5 kg, and Annie weighs 44.5 kg.
3) Ronnie walks at a rate of 4 km/h, while Margie walks at a rate of 2 km/h.
4) It takes 3 hours for Lea to do the same task working alone.
5) Katie is 5 years old and Rico is 1 year old.
To solve each problem, the following calculations must be done:
1)
(54 - 12) / 2 = X
42 / 2 = X
21 = X
21 + 12 = 33
33 + 21 = 54
2)
(92 - 3) / 2 = X
89 / 2 = X
44.5 = X
44.5 + 3 = 47.5
44.5 + 47.5 = 92
3)
1000 / 3 x 2 = 666.666
0.666 x 6 = 3.999
0.333 x 6 = 1.999
4)
1/5 + 1/X = 1/2
10/5 + 10/X = 10/2
2 + X = 5
X = 5 - 2
X = 3
5)
5 /// 1
8 /// 4
Learn more about quantities in brainly.com/question/25826162
Answer:
1) - 2 / (cos x + sinx)^2.
Step-by-step explanation:
1) I assume you want the derivative of (cos x - sin x) / ( cos x + sin x).
y' = (cosx + sinx)( -sinx - cosx) - (cosx - sinx)(-sinx + cosx)
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(cosx + sinx)^2
= -sinxcosx - cos^2x - sin^2x - sinxcosx - (-sinxcosx+cos^2x+sin^2x-sinxcosx
-------------------------------------------------------------------------------------------------------
(cosx + sinx)^2
= -2sinxcosx - 1 - ( -2sinxcosx + 1 ) / (cosx + sinx)^2
= -2sinxcosx - 1 - ( -2sinxcosx + 1 ) / (cosx + sinx)^2
= - 2 / (cos x + sinx)^2.
The answer to number nine is 40
Answer:
The area of the shaded region is 42.50 cm².
Step-by-step explanation:
Consider the figure below.
The radius of the circle is, <em>r</em> = 5 cm.
The sides of the rectangle are:
<em>l</em> = 11 cm
<em>b</em> = 11 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[l\times b]-[\pi r^{2}]\\\\=[11\times 11]-[3.14\times 5\times 5]\\\\=121-78.50\\\\=42.50](https://tex.z-dn.net/?f=%3D%5Bl%5Ctimes%20b%5D-%5B%5Cpi%20r%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B11%5Ctimes%2011%5D-%5B3.14%5Ctimes%205%5Ctimes%205%5D%5C%5C%5C%5C%3D121-78.50%5C%5C%5C%5C%3D42.50)
Thus, the area of the shaded region is 42.50 cm².
