Answer:
70
Step-by-step explanation:
The solution to the system of inequalities is (0.667, 5.333)
<h3>How to graph the inequalities?</h3>
The system of inequalities is given as:
y > 2x + 4
x + y ≤ 6
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(0.667, 5.333)
Hence, the solution to the system of inequalities is (0.667, 5.333)
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Solving the triangle requires solving all of the dimensions involve in the polygon given. We are given an angle, and two of the sides of the triangle. We can solve the third side by using the law of cosines.
b² = a²+c²-2accos(B)
b² = 38² + 18² - 2(38)(18)cos(36)
b = 25.7
We use the law of sines to solve for the angles.
a/sinA = b/sinB
38/sinA = 25.7/sin36
A = 60.4°
C = 180 - 36 - 60.4 = 83.6°
Answer:
Step-by-step explanation:
Set up a proportion
693 miles / 11 hours = 315 miles / x hours
Notice that the numerators both have the same units (miles).
Cross multiply
693x = 11 * 315 Combine
693x = 3465 Divide by 693
x = 5
It will take him 5 hours to go 315 miles
