Answer:
(-∞,0)∪(0,∞)
Step-by-step explanation:
The domain of a function is wherever the y values exist. The only time the y values dont exist in this function is when the denominator is zero. So the denominator does not exist at x=0, because that is when 4x = 0.
Answer:
Step-by-step explanation:
Let the width of the rectangle = x
As length is 5 inches longer than width, we have to add 5 to width
Length = x + 5
Perimeter of ractangle = 56 in
2* (length + width) = 56
2*( x + 5 + x) = 56
2* (2x + 5) = 56
Use distributive property: a*(b +c) =(a*b) + (a * c)
2*2x + 2*5 = 56
4x + 10 = 56
Subtract 10 from both sides
4x = 56- 10
4x = 46
Divide both sides by 4
x = 46/4
x = 11.5
Width = 11.5 in
length = 11.5 + 5
= 16.5 in
Answer:
.92
Step-by-step explanation:
sin A = opp side/ hypotenuse
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 +7^2 = AC ^2
9+49 = AC ^2
58 = AC^2
Taking the square root
sqrt(58) = hypotenuse
sin A = 7/sqrt(58)
sin A =.91914503
sin A = .92
Answer: domain :B
domain:B
x=5 :C
Step-by-step explanation:
Answer:
3014 cubit foot
Step-by-step explanation:
Find the diagram attached
Volume of the cone = 1/3πr²h
r is the base radius of the cone
h is the height
Given
r = 6ft
Get the height using the pythagoras theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = √64
h = 8ft
Get the volume
Volume = 1/3πr²h
Volume = 1/3 * 3.14 * 6^2*8
Volume = 3.14 * 12 * 8
Volume =3,014.4
Volume = 3014 cubit foot to the nearest foot
