Answer:
c=y×z
Step-by-step explanation:
the answer is this because z would be the number of dozens you have times y the cost of one by multiplying those together you will get the cost of the z dozens of eggs
The value of
.
Solution:
Given data:
![$\tan^2\theta=\frac{3}{8}](https://tex.z-dn.net/?f=%24%5Ctan%5E2%5Ctheta%3D%5Cfrac%7B3%7D%7B8%7D)
To find the value of ![\sec\theta:](https://tex.z-dn.net/?f=%5Csec%5Ctheta%3A)
Using trigonometric identity,
![\sec^2\theta=1+\tan^2\theta](https://tex.z-dn.net/?f=%5Csec%5E2%5Ctheta%3D1%2B%5Ctan%5E2%5Ctheta)
Substitute
in the identity, we get
![$\Rightarrow \sec^2\theta=1+\frac{3}{8}](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Csec%5E2%5Ctheta%3D1%2B%5Cfrac%7B3%7D%7B8%7D)
1 can be written as
.
![$ =\frac{1}{1} +\frac{3}{8}](https://tex.z-dn.net/?f=%24%20%3D%5Cfrac%7B1%7D%7B1%7D%20%2B%5Cfrac%7B3%7D%7B8%7D)
Do cross multiplication.
![$ =\frac{8}{8} +\frac{3}{8}](https://tex.z-dn.net/?f=%24%20%3D%5Cfrac%7B8%7D%7B8%7D%20%2B%5Cfrac%7B3%7D%7B8%7D)
Denominators are same, so you can add the fractions.
![$ =\frac{8+3}{8}](https://tex.z-dn.net/?f=%24%20%3D%5Cfrac%7B8%2B3%7D%7B8%7D)
![$\Rightarrow \sec^2\theta =\frac{11}{8}](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Csec%5E2%5Ctheta%20%3D%5Cfrac%7B11%7D%7B8%7D)
Taking square root on both sides, we get
![$\Rightarrow \sec\theta =\pm\sqrt{\frac{11}{8}}](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Csec%5Ctheta%20%3D%5Cpm%5Csqrt%7B%5Cfrac%7B11%7D%7B8%7D%7D)
Option B is the correct answer.
Hence the value of
.
Answer:
4.5 hours
Step-by-step explanation:
Assume the relation between points is a linear relation.
Use the given information as points in a linear equation.
Find the equation of the line; then find x when y = 25.75.
Find the equation of the line that passes through points (3, 23.5) and (8, 31).
y = mx + b
m = (y2 - y1)/(x2 - x1) = (31 - 23.5)/(8 - 3) = 7.5/5 = 1.5
y = 1.5x + b
Use point (8, 31) as x and y, and solve for b.
31 = 1.5(8) + b
31 = 12 + b
b = 19
The equation is
y = 1.5x + 19
Now let y = 25.75, and solve for x.
y = 1.5x + 19
25.75 = 1.5x + 19
6.75 = 1.5x
x = 4.5
Answer: 4.5 hours