It's $6.48 divided by 4. So the answer is $1.62
The equation can be used to model the height as a function is
where t is time, the second option is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
![\rm y = A\ cos(bx-c)+d](https://tex.z-dn.net/?f=%5Crm%20y%20%3D%20A%5C%20cos%28bx-c%29%2Bd)
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
![\rm A = \frac{10-9}{2} \Rightarrow 0.5](https://tex.z-dn.net/?f=%5Crm%20A%20%3D%20%5Cfrac%7B10-9%7D%7B2%7D%20%5CRightarrow%200.5)
b is the cycle speed, we know:
(T is period)
![\rm12 = \frac{2\pi}{b}](https://tex.z-dn.net/?f=%5Crm12%20%3D%20%5Cfrac%7B2%5Cpi%7D%7Bb%7D)
![\rm b=\frac{\pi}{6}](https://tex.z-dn.net/?f=%5Crm%20b%3D%5Cfrac%7B%5Cpi%7D%7B6%7D)
The value of d is given by:
![\rm d = \frac{10+9}{2}](https://tex.z-dn.net/?f=%5Crm%20d%20%3D%20%5Cfrac%7B10%2B9%7D%7B2%7D)
d = 9.5
The equation can be modeled:
(c =0 and y =h)
Thus, the equation is ![\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5](https://tex.z-dn.net/?f=%5Crm%20h%20%3D%200.5%5C%20cos%28%5Cfrac%7B%5Cpi%7D%7B6%7D%20t%29%2B9.5)
Know more about trigonometry here:
brainly.com/question/26719838
Answer:
x = 6
Step-by-step explanation:
Line M and line V are parallel so,
Given angles must be alternate angles and alternate angles has equal measurement
so we write an equation to find the value of x:
19x - 4 = 110 add 4 to both sides
19x = 114 divide both sides by 19
x = 6
Answer: p= $8 s= $2.50
Step-by-step explanation:
3p + 4s = 34 and 3p + 7s= 41.50
Since the number of pizzas DIDNT change between these two equations, we can use the total of the second equation to help us find the price of one sandwich.
41.50 - 34 = $7.5 for 3 sandwiches (7s-4s)
So how much is one sandwich? 7.50/3 = $2.50 for each sandwich
now that we know s, it’ll be much easier finding p. We can use one equation to find p.
3p + 4(2.5) = 34 (Solve algebraically)
3p + 10 = 34
- 10 | -10
3p = 24
3p/3 = 24/3
p = $8. Now you can check by substituting the variables!
Answer:
333cm^2
Step-by-step explanation:
Divide the compound shape into the two separate parts, the rectangle and the triangle.
The rectangle measuring 18cm by 14cm, getting the area, use the formula length*width. This is 18*14= 252cm^2.
Then the triangle has the height, 9cm and base 18cm, finding the area use the formula, 1/2*base*height.
1/2*9*18= 81cm^2.
Add the two, 252+81= 333cm^2.