<span>y = tan^−1(x2/4)</span>
tan(y) = x2/4
sec2(y) = x/2
y′ = xcos^2(y)/2
<span>cos^2(y) = <span>16x2+16</span></span>
<span>y′ = <span>8x/(<span>x2+16)
let u be x2+16
du is 2x dx
dy = 4 du / u
y = 4 ln (</span></span></span>x2 <span>+ 16)
y at x =0 = </span> 4 ln (<span>16) = 11.09</span>
Divide both numbers in one of the ratios by their highest common factor. This will give you the scale factor of the bigger triangle to the smaller triangle.
0.19 for one cookie and 0.59 for one doughnut
x for how much one cookie costs and y for how much one doughnut costs
6x+4y=3.5
12x+5y=5.23
solve by substitution: (elimination would work too)
4y=3.5-6x
y=0.875-1.5x
12x+5(0.875-1.5x)=5.23
12x+4.375x-7.5x=5.23
4.5x=0.855
x=0.19
now use x to solve for y:
6(0.19)+4y=3.5
1.14+4y=3.5
2.36=4y
y=0.59
Check the work: 6(0.19)+4(0.59)=3.5
Answer:
17=s+7
-7 -7
-----------
10 0
s=10
Step-by-step explanation:
-Subtract 7 from both sides
-Remove the 0 and the addition sign
-You are now left with the equation s = 10
-Once you check to make sure 10 + 7 = 17 you have your answer
Hope this helps :))
Answer:
Step-by-step explanation:
Patrick pizza parlor is famous for its giant circular pizza, which has an area of 1519.76 square inches. The pizza is circular in shape. The formula for determining the area of a circle is expressed as
Area = πr^2
π is given as 3.14
Therefore,
1519.76 = 3.14 × r^2
r^2 = 1519.76/3.14 = 484
Taking square root of both sides of the equation, it becomes
r = √484 = 22 inches
Diameter = 2 × radius.
Therefore, the diameter of the giant pizza is 2 × 22 = 44 inches
