Answer:
a) the trigonometric function is;
b) 
( to two decimal places)
Step-by-step explanation:
This data can be represented by the sinusoidal function of the form :
where A = amplitude and which can be determined via the formula:
A = 7.5° C
where B = the frequency;
Since the data covers a period of 3 days ; then 
( where 365 is the time period )
The vertical shift is found by the equation D;
D = 
D = 
D = 21.5
Replacing the values of A ; B and D into the above sinusoidal function; we have :
From the question; when it is 7th of the year ( i.e January 7);
t = 7 and the temperature (y) = 29° C
replacing that too into the above equation; we have:
Thus; the trigonometric function is;
Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :
( to two decimal places)
This year= 1 1/2 inches= 3/2 inches= 12/8 inches
Last year= 7/8
12/8-7/8=5/8
Hannah grew 5/8 inches more this year than last year.
Answer:
These are right triangles so we can use Pythagorean theorem to solve this.
the Pythagorean theorem states that the hypotenuse of a right triangle, squared, is equal to the sum of the other 2 sides of the triangle, squared.
It can be expressed as so:
c^2=a^2+b^2 where c is the hypotenuse and a, b are the other 2 sides.
Therefore in number 11 6^2=x^2+y^2
36=x^2+y^2
for A, 3√3 / 2 is 2.59807621135 and y is 3. If we square both then they should equal 36 although if they don't then this answer is incorrect.
By doing this process for each answer you will see that
In D we finally see that the square root of 3 is 1.73205080757 and that number times 3 is 5.19615242271. y is 3 and 5.19615242271 squared comes out to 27 and 3 squared comes out to 9
27+9 = 36. Therefore by using the Pythagorean theorem, we found that D is correct
Because this involves a lot of typing and its 5:37 Am where i live ima let u do the next one alone but if u need help just follow my demonstration
Step-by-step explanation:
Answer:
80 degrees
Step-by-step explanation:
As it is a straight line the total angle is out of 180 degrees. And so to work it out you would at first add the two angles together. Then you would subtract that from 180 degrees to give you the missing angle.
1) Add the two angles together.
2) Subtract that from 180.
First multiply 9 29/40
=389/40
=9.725
