Answer:
86 degrees
Step-by-step explanation:
just do 110 degrees - 24 degrees to get 86 degrees
19.2 * 10⁸ minutes.
60 minutes = 1 hour.
19.2 * 10⁸ minutes = (19.2 * 10⁸) / 60 hour
= 32 000 000 = 3.2 * 10⁷ hours
= <span>D. 3.200 × 10^7 h</span>
Answer:
- make sure calculator is in "radians" mode
- use the cos⁻¹ function to find cos⁻¹(.23) ≈ 1.338718644
Step-by-step explanation:
A screenshot of a calculator shows the cos⁻¹ function (also called arccosine). It is often a "2nd" function on the cosine key. To get the answer in radians, the calculator must be in radians mode. Different calculators have different methods of setting that mode. For some, it is the default, as in the calculator accessed from a Google search box (2nd attachment).
__
The third attachment shows a graph of the cosine function (red) and the value 0.23 (dashed red horizontal line). Everywhere that line intersects the cosine function is a value of A such that cos A = 0.23. There are an infinite number of them. You need to know about the symmetry and periodicity of the cosine function to find them all, given that one of them is A ≈ 1.339.
The solution in the 4th quadrant is at 2π-1.339, and additional solutions are at these values plus 2kπ, for any integer k.
__
Also in the third attachment is a graph of the inverse of the cosine function (purple). The dashed purple vertical line is at x=0.23, so its intersection point with the inverse function is at 1.339, the angle at which cos(x)=0.23. The dashed orange graph shows the inverse of the cosine function, but to make it be single-valued (thus, a <em>function</em>), the arccosine function is restricted to the range 0 ≤ y ≤ π (purple).
_____
So, the easiest way to answer the problem is to use the inverse cosine function (cos⁻¹) of your scientific or graphing calculator. (<em>Always make sure</em> the angle mode, degrees or radians, is appropriate to the solution you want.) Be aware that the cosine function is periodic, so there is not just one answer unless the range is restricted.
__
I keep myself "unconfused" by reading <em>cos⁻¹</em> as <em>the angle whose cosine is</em>. As with any inverse functions, the relationship with the original function is ...
cos⁻¹(cos A) = A
cos(cos⁻¹ a) = a
Answer:
The solution in the attached figure
One possible solution is the point (30,60)
Step-by-step explanation:
Let
x -----> represents the number of tacos sold
y -----> represents the number of burritos sold
we know that
------> inequality A
-----> inequality B
using a graphing tool
The solution is the triangular shaded area
see the attached figure
One possible solution is the point (30,60)
Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
so
That means----> The number of tacos sold is 30 and the number of burritos sold
Verify
Substitute the value of x and the value of y in each inequality
Inequality A
----> is true
Inequality B
----> is true
The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system
Read more on Brainly.com - brainly.com/question/13301815#readmore
Step-by-step explanation:
Answer:
y=-5x-12
y=-0.5x-5
y=-0.5x+0.5
y=-4.5x+3
y=-2x+7
y=2.5x+10
Step-by-step explanation: