Answer:
Step-by-step explanation:
c
Translate it
remember that

translates to

so we can say it equals y
so

translates to

we want to find the values of x that make it undefined
well, we know that

must be greater than 0
so we do
it is defined for
x-4>0
add 4
x>4
it is defined for all values such that x>4
Answer:
The length of minor arc AB is
π ft
Step-by-step explanation:
The formula of the length of an arc in a circle is L =
× 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle
∵ The radius of the circle is 4 ft
∴ r = 4
∵ ∠AOB is a central angle subtended by minor arc AB
∵ m∠AOB = 50°
∴ α = 50°
Substitute the values of r and α in the rule above
∵ L =
× 2π(4)
∴ L =
π
∴ The length of minor arc AB is
π ft
Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
Answer:
1+7+8+8
Step-by-step explanation: