Answer:
11% interest rate
Step-by-step explanation:
3,300 / 3 = 1,100
$1,100 per year
1,100 / 10000
.11 = 11%
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
Answer:
A linear relationship can also be found in the equation distance = rate x time. Because distance is a positive number (in most cases), this linear relationship would be expressed on the top right quadrant of a graph with an X and Y axis.
Complete question is;
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 45 °F. Use t to represent the temperature (in °F) of the refrigerator.
Answer:
t ≤ 45 °F
Step-by-step explanation:
We are told to use t to represent the temperature (in °F) of the refrigerator.
We are also told that the temperature inside the lab refrigerator is no more than 45 °F.
For the temperature inside the refrigerator to be no more than 45 °F, it means the temperature should be either less than or equal to 45 °F
Thus means that t is less than or equal to 45 °F.
Thus, it can be represented in terms of inequality as;
t ≤ 45 °F
