Path B because it’s the straightest way there
Answer:
width = 12 ft
Step-by-step explanation:
Given the figure of the pond and the fact that the corners form a right triangle that is across from the string of flags, you can use the Pythagorean Theorem to solve for the width of the triangle that is formed by the flags:
a² + b² = c², where 'a' and 'b' represent the legs of the triangle and 'c' represents the diagonal or hypotenuse. Using 16 for 'a' and 20 for 'c':
16² + b² = 20²
256 + b² = 400
Subtract 256 from both sides: 256 - 256 + b² = 400 - 256 or b² = 144
Take the square root of both sides: √b² = √144 or b = 12 ft
Answer:
When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞
Step-by-step explanation:
Hi there!
First, let´s write the function:
f(x) = (7x⁵ - 3x +1) / (4x³ + 2)
When x ⇒ +∞
f(x) ⇒ (7x⁵ - 3x) / 4x³ because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.
f(x) ⇒7x⁵/4x³ - 3x/4x³
f(x) ⇒ 1.75x² - 0.75/x² (0.75/x² ⇒ 0 because a number divided by a very big number is approximately zero). Then:
f(x) ⇒ 1.75x² ⇒ +∞
When x ⇒ -∞
f(x) ⇒ 1.75x² = +∞ (because x² is always positive)
Then, when x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞
Answer:
D
Step-by-step explanation:
the complete question in the attached figure
<span>we have to find the surface area first</span>
<span>the area of the base is A1------- > 5*2=10 ft</span>²
A2 (area of two rectangles faces)---------- > 2*3+2*4=14 ft²
A3 (area of the two triangles faces)
base of triangle------------ > 5---------- > (x)+(x-5)
x²+h²=3² ------------ > h²=9-x²
(5-x)²+h²=4²----------- > h²=16-(5-x)²
9-x²=16-(5-x)²-------------- >9-x²=16-25-10x-x²----------------- > x=1.8
h²=9-(1.8)²------------ > h=2.4 ft
A3= (5*2.4)*2/2=12 ft²
the surface area total=A1+A2+A3=10+14+12=36 ft²
if $0.22 ------------------------ > 1 ft²
X----------------------------------> 36 ft²
X=36*.22=$7.92
the answer is $7.92
