Answer:
D. It would be less steep
Step-by-step explanation:
The first graph moves at a rate of 5/1 which is a greater fraction than 3/4
- The second graph is shallow due to the close points in x and y that are able to be conducted
- The first Graph rapidly increases at a way higher rate making it VERY steep
- While both are linear the second strays away in terms of plot lines
Calculate the number of hours between 4 PM and 10 AM:
4 PM to 4 AM is 12 hours.
4 AM to 10 AM is 6 hours
Total hours is 12 + 6 = 18 hours.
18 hours x 70 km/hr = 1,260 km total.
The equation for monthly payment is b = 49.05M.
<u>SOLUTION:</u>
Given, a cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. We have to write an equation for the monthly payment b when M minutes of long distance service are used.
Now, given that,
![\begin{array}{l}{\text { Monthly payment = } \$ 49 \text { per minute plus five cents per minute of long distance }} \\\\ {\Rightarrow \$ 49 \times \text { number of minutes }+\$ 0.05 \times \text { number of minutes of long distance }} \\\\ {\Rightarrow \mathrm{b}=49 \times \mathrm{M}+0.05 \times \mathrm{M} \rightarrow \mathrm{b}=49 \mathrm{M}+0.05 \mathrm{M} \rightarrow \mathrm{b}=49.05 \mathrm{M}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20Monthly%20payment%20%3D%20%7D%20%5C%24%2049%20%5Ctext%20%7B%20per%20minute%20plus%20five%20cents%20per%20minute%20of%20long%20distance%20%7D%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20%5C%24%2049%20%5Ctimes%20%5Ctext%20%7B%20number%20of%20minutes%20%7D%2B%5C%24%200.05%20%5Ctimes%20%5Ctext%20%7B%20number%20of%20minutes%20of%20long%20distance%20%7D%7D%20%5C%5C%5C%5C%20%7B%5CRightarrow%20%5Cmathrm%7Bb%7D%3D49%20%5Ctimes%20%5Cmathrm%7BM%7D%2B0.05%20%5Ctimes%20%5Cmathrm%7BM%7D%20%5Crightarrow%20%5Cmathrm%7Bb%7D%3D49%20%5Cmathrm%7BM%7D%2B0.05%20%5Cmathrm%7BM%7D%20%5Crightarrow%20%5Cmathrm%7Bb%7D%3D49.05%20%5Cmathrm%7BM%7D%7D%5Cend%7Barray%7D)
<em>Equation:</em>
An equation is a statement that the values of two mathematical expressions are equal <em>(indicated by the sign =)</em>
If given ratio is 3.5 gallons per minute and we want to cups per second we can do this knowing that
1 gallon= 16cups
1min = 60sec
ratio=3.5
![\frac{gallon}{minute}=3.5* \frac{16cups}{60 seconds} =3.5*0.266=0.933 \frac{cups}{sec}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bgallon%7D%7Bminute%7D%3D3.5%2A%20%5Cfrac%7B16cups%7D%7B60%20seconds%7D%20%20%3D3.5%2A0.266%3D0.933%20%5Cfrac%7Bcups%7D%7Bsec%7D%20)
Its the result
Answer:
a) 240°
b) 30°
c) 225°
Step-by-step explanation:
To solve these equations you have to use the inverse of the given trigonometric functions. The inverse of <em>sin</em> is <em>arcsin</em>, and the inverse of <em>tan </em>is <em>arctan. </em>Instead of giving an angle, what is its sine?, the question is: given a sine, what is the angle?.
a)
sin(θ) = -√3/2
θ = arcsin(-√3/2)
θ = -60°
Given the periodicity of sine function, sin(-60°) is equivalent to sin(240°) (-60+180) and sin(300°) (-60+360).
b)
tan(θ) = 1/√3
θ = arctan(1/√3)
θ = 30°
c)
csc means cosecant, by definition:
csc(θ) = 1/sin(θ)
csc(θ) = -√2
1/sin(θ) = -√2
sin(θ) = -1/√2
θ = arcsin(-1/√2)
θ = -45° or 360-45 = 315° or 180+45 = 225°