The base is a square, so the area of the square is (10 cm)² = 100 cm²
To find the area of each triangle use the formula
base • height
10 cm • 9 cm = 90 cm²
now multiply by the number of triangles
90 cm • 4 = 360 cm²
Add the area of the square:
100 cm² + 360 cm² = 460 cm²
I hope it's correct
Answer:
Domain: all real numbers. Range: (-∞, 2000]
Step-by-step explanation:
f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial. As such, its domain contains "all real numbers." That value 800 defines the largest value that this f(x) can have: f(800) = 2.5(800) = 2000.
Thus, the range is "all real numbers from -∞ through and including 2000."
In order to write in scientific notation you have to write an expression with a whole number times 10 to a certain exponent. In this case the nearest whole number would be 7.65 and you have to move the decimal place twice to the left to get the desired number. Thus, the exponent would be a negative number. The final answer is : 7.65 x 10^-2.
Answer:
Option A i.e. y = - 3 is not in range of the piece wise function graphed.
Step-by-step explanation:
The range of a function y = f(x) is given by the possible values of y for the possible domain (x-values) of the function.
Now, it is clear from the graph of the function that the value of y never goes below y = - 2.
The graph is drawn in such a way that any value of y less than - 2 and greater than - ∞ is not in the range of the function.
Therefore, option A i.e. y = - 3 is not in range of the piecewise function graphed. (Answer)
Answer: You apply the trigonometric ratios of Sine, Cosine and Tangent.
Step-by-step explanation: In a question such as this one of the angles must be given, which is labeled the reference angle. We already know one angle is 90 degrees in a right angled triangle, so the other two angles whatever their size is, must both add up to 90, which means they are both acute angles. If one side is given, for instance 10 units, and one of the two acute angles is given, for example 30 degrees, then the line facing the reference angle (30 degrees) would be the OPPOSITE. The line that lies between the angles 30 and 90 would be the ADJACENT while the third side which is the longest would be the HYPOTENUSE.
So if for instance, the opposite line is 10 units, and you are required to calculate the other line, the adjacent, AS LONG AS YOU HAVE BEEN GIVEN A REFERENCE ANGLE, you can simply calculate as follows;
TanX = opposite/adjacent (and that becomes)
Tan 30 = 10/adj
Adj = 10/Tan 30
Adj = 10/0.5774
Adj = 17.32
**Note that the use of angle 30 was just for the sake of explanation. Your reference angle whatever it is, would be provided by your examiner**
