Answer:
Step-by-step explanation:
- 4 yards = 4*36 in = 144 in
<u>Angle is x</u>
- tan(x/2) = 1/2 * 1/144
- x/2 = arctan (1/288)
- x /2 = 0.1989428794619145°
- x = 2*0.1989428794619145°
- x = 0.39788575892°
- x = 0.40° (rounded)
Answer:
f^-1(x)= x/5 - 6/5
Step-by-step explanation:
Interchange the variable
x= 5y + 6
Solve for Y
y = x/5 - 6/5
Let ab be a 2 digit number, then ab=10a+b, where a and b are digits, a≠0.
"the difference between the integer and the product of its two digits is 12"
10a+b - (a*b)=12
10a+b-ab=12
factorize b:
10a+b(1-a)=12
subtract 10 from both sides, to produce a factor (1-a) or (a-1) and then factorize:
10a-10+b(1-a)=2
10(a-1)+b(1-a)=2
(a-1)(10-b)=2
(a-1)(10-b) can be (1,2), (2, 1), (-1, -2), (-2, -1)
if a-1=1 and 10-b=2, then a=2, b=8
if a-1=2, and 10-b=1, then a=3, b=9
if a-1=-1, then a=0, which is not possible
if a-1=-2, then a=-1, which is not possible
so the solutions (a, b) are (2, 8) and (3, 9)
Then the integers are 28, 39
Answer: 28, 39
Answer:
You can download the answer here.
Step-by-step explanation:
<h3>
Answer: x*a^2 or a^2*x</h3>
======================================
Work Shown:
a^(b+2) = a^b*a^2 ... break up the exponent
a^(b+2) = x*a^2 ... replace a^b with x
We don't know the value of 'a' nor the value of x, so we cannot evaluate further. This is the same as a^2*x because order of multiplication does not matter. For example, 2*3 = 6 and 3*2 = 6, so 2*3 = 3*2.
