Answer:
8.4 cm
Step-by-step explanation:
The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.
Substitute:
tanx = opp/adj
tan35 = x/12
Multiply by 12 on both sides:
12(tan35) = (x/12)12
12(tan35) = x
Solve:
12(tan35) = x
8.4 = x
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
, x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) =
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
Answer:
x = -6
Step-by-step explanation:
-5(x + 3) = 15
Distribute the -5
-5x -15 =15
Add 15 to each side
-5x-15+15 =15+15
-5x = 30
Divide each side by -5
-5x/-5 = 30/-5
x =-6
To find the mean, add the numbers, and divide by the amount of numbers there is.
(82 + 105 + 247 + 119 + 94 + 202)/6
Simplify. Remember to follow PEMDAS. First, add
(849)/6
Next, divide by 6
849/6 = 141.5
141.5 should be your answer
hope this helps
Answer:
$325,120.00
Step-by-step explanation:
This is my first answer so hopefully I do this correctly. In essence it's exactly the same as number 22!
The realtor earns $10,566.40 off of a comission of 3.25%. A comission is pretty much just a cut of however much the house cost; which a realtor gets for helping to sell the property. So we could say that the comission is equal to 3.25% of however much the house cost.
Say the house price = $x, so our equation would be:
$10,566.40 = (3.25%)•($x) or
10,566.40 = (.0325)•($x)
By solving for x we get:
$x = (10,566.40)÷(.0325) = $325,120
