Inequality: 21d+25≤115
Jim can rent a car for maximum 4 days, therefore, he is not correct in his calculations.
Step-by-step explanation:
Given,
Per day rent = $21.00
Per mile rent = $0.10
Miles to be driven by Jim = 250
Cost of 250 miles = 250*0.10 = $25
Amount Jim can spend = $115.00
Let,
d represent the number of days.
Per day rent*number of days + cost of 250 miles ≤ Total amount to spend
21d+25≤115
Subtracting 25 from both sides
Dividing both sides by 21
Jim can rent a car for maximum 4 days, therefore, he is not correct in his calculations.
Keywords: inequality, division
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I literally need this too and i have no idea
Answer:
-132
Step-by-step explanation:
24-24)-(144-12)
0-132
-132
Answer:
2.67 seconds
Step-by-step explanation:
Distance covered by the dog = 40 ft
The rate at which the dog runs (speed) = 15 ft/s
But,
speed = 
So that,
time = 
= 
= 2
time = 2.6667 s
It would take the dog 2.67 s to mess.
If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
------------
Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
