Shelters found for dogs = 12,308
Shelters found for cats = 7,953
Total number of shelters found
= Shelters found for dogs + Shelters found for cats
= 12,308 + 7,953
= 20,261 shelters
Therefore, the total number of shelter found for both dogs and cats last year is 20,261 shelters
Calculate area of the white region inside circle.
Area of the two white triangles in top left and bottom right:
Area of the two white quarter circles in the bottom left and top right:
Total area of unshaded white region inside circle:
Area of entire circle including the white and shaded regions
Area of shaded region is area of entire circle - area of unshaded white region
<span> x = 3<span> x =(-12-√-4)/-2=6+i= 6.0000-1.0000i</span><span> x =(-12+√-4)/-2=6-i= 6.0000+1.000</span></span>
Answer:
£24 : £32
Step-by-step explanation:
Add the parts of the ratio 3 + 4 = 7
Divide the amount by 7 to find the value of one part
£56 ÷ 7 = £8 ← one part of the ratio
3 parts = 3 × £8 = £24
4 parts = 4 × £8 = £32
Answer:
C = 5.
Step-by-step explanation:
First, you need to remember that:
For the function:
h(x) = Sinh(k*x)
We have:
h'(x) = k*Cosh(k*x)
and for the Cosh function:
g(x) = Cosh(k*x)
g'(x) = k*Cosh(k*x).
Now let's go to our problem:
We have f(x) = A*cosh(C*x) + B*Sinh(C*x)
We want to find the value of C such that:
f''(x) = 25*f(x)
So let's derive f(x):
f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)
and again:
f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)
f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)
And we wanted to get:
f''(x) = 25*f(x) = C^2*f(x)
then:
25 = C^2
√25 = C
And because we know that C > 0, we take the positive solution of the square root, then:
C = 5
