B - Parallelogram
To find this, graph it on a paper or make a mental image in your mind. With this, it would form an image of a parallelogram.
Hope this helps!
Let the unknown side be "z" inches
Through pythagoras:
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.
This means that
So the missing side is 16 inches
Hope this helped
Answer:
1
a)
A = 4,408,209,897.52
b)
A = 4,072,118,867.37
2)
Domain of the function is (-2,4)
Step-by-step explanation:
a)
We have been given the following information which is to be used in determining the accumulated amount, using the given compound interest formula,;
P=$0.93
t=1000 years
r=0.0223
n=12, since the interest is compounded monthly
The compound interest formula to be used is given below;
The accumulated amount is obtained by substituting the given values into the formula above;
A = 4,408,209,897.52
b)
For this part we use the exponential continuous compounding formula since the interest earned on the principal will be compounded continuously. The principal and t remain unchanged but the rate of interest changes to 0.0222. The formula to be used is given below;
A is the accumulated amount
P is the principal amount
r is the interest rate
t is the time in years
A = 4072118867.37
2)
The domain of the function is defined as the set of input values for which the function is real and defined.
A graph of the given function is shown in the attachment below;
The function is thus defined for values of x greater than -2 but strictly less than 4
Answer:
x = 26.3
Step-by-step explanation:
There are three trigonometric rules that this question will apply to, they are:
Where opp is the length of the side opposite to angle Φ, hyp is the hypotenuse of the triangle and adj is the length of a side adjacent to angle Φ.
In the provided picture, angle Φ has been provided alongside the hypotenuse with the opposite side length needing to be calculated. A trig function that includes all three of these must be used. The only one that does have all three is sin, ergo it is what we will use.
In the current equation form, the subject is incorrect and need to be changed so that it becomes the opposite side.
Plug the known values in:
Hope this helps!
The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
<h3>What is the sector of a circle?</h3>
A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
The radius of the sector =20 units
Central angle subtended by sector = 162° = 162π/180 radians
As we know the area of a sector= 0.5r²α
where r is the radius and α is the central angle.
So, the area of the given sector = 0.5*20²* 162π/180
The area of the given sector = 180π unit²
Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
To get more about the sector visit:
brainly.com/question/25305793