Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
Multiply .6 x 132 and that gets you 79.2 then you add 132 +79.2 =$211.20
Answer:
200
Step-by-step explanation:
Janet = x + 75
Kathy = x
2x + 75 = 325
2x = 325 - 75
2x = 250
x/Kathy = 125
x + 75/Janet = 125 + 75
= 200
Choice A is true. This is the Pythagorean identity. One of the most fundamental trig identities you should memorize.
Choice B is false. Let A = 60 and B = 30 and you'll see the left hand side turn into 0.5 while the right hand side turn into -0.5
Choice C is true. This is a variation of the identity tan^2+1 = sec^2 (just subtract tan^2 from both sides)
Choice D is true as this is a more complicated variation of 1+tan^2 = sec^2
42.8 in
Step-by-step explanation:
Step one:
given data
we are told that the expression for the depth of a lake after x years is given by
Required
The value of y when x= 4
Step two:
substitute the value of x in the expression to get y
After 4 years the depth will increase by 42.8 in
