Answer:
The length of diagonal d is 14.1421 cm
Step-by-step explanation:
We are given square
Length of side of square = 10 cm
We need to find the length of diagonal d
To find diagonal of square, the formula used is:

where s is length of side of square.
Putting values of s and finding length of diagonal of square

So, The length of diagonal d is 14.1421 cm
In the given figure, there are two right angled triangles.
Area of triangle = 1/2 × b × h
Area of shaded region = area of larger triangle - area of smaller triangle
= 1/2 × 15 × 18 - 1/2 × 8 × 9
= 135 - 36
= 99 ft^2
Thus, area of shaded region is 99 ft^2.
Answer:
24
Step-by-step explanation:
f(n) = f(n − 1) + 3
if n = 7 => f(7) = f(7-1) + 3 = f(6) + 3
if n = 6 => f(6) = f(6-1) + 3 = f(5) + 3
if n = 5 => f(5) = f(5-1) + 3 = f(4) + 3
if n = 4 => f(4) = f(4-1) + 3 = f(3) + 3
if n = 3 => f(3) = f(3-1) + 3 = f(2) + 3
if n = 2 => f(2) = f(2-1) + 3 = f(1) + 3
if f(1) = 6 then f(2) = 9
f(3) = 12
f(4) = 15
f(5) = 18
f(6) = 21
f(7) = 24
First, you must find the total number of people. Add together 32, 54, 78, 112, and 96 to get 372. Next, add the number of diabetic patients with the number of patients with eye problems (54 + 112 = 166).
Your fraction is now 116/372. Simplify this to get your answer, 29/93 or 0.31.
Answer:
The graph approaches –3 as x approaches infinity. Option a is correct.
Step-by-step explanation:
The given function is

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

Taking x common from the denominator.

Cancel out common factor x.

Apply limits.



Therefore the graph approaches –3 as x approaches infinity.