Answer:
tan ∅ = 15/8
Step-by-step explanation:
tan ∅ = 15/8
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
since the fence will be 3 sides, the length would be length minus 2 widths
so length = 1200 - 2x
area = length x width
width is x
area = (1200-2x)*x
= 1200x -2x^2
after doing the calculations x = 600 meters, width = 300 meters
20 days
x=number of days vacation
y=daily expenses
xy=1100
(x+2)(y-5)=1100
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xy-5x+2y-10=1100
xy-5x+2y=1110
y=1100/x
x(1100/x)-5x+2(1100/x)=1110
1100-5x+(2200/x)=1110
-5x+(2200/x)=10
-5x^2 + 2200 = 10x
-x^2 + (440) = 2x
x^2 - 440 + 2x = 0
(x+22)(x-20)=0
x=-22,20
only take the positive answer because the negative answer doesn't make sense in the question
so the answer is 20
****
I might be wrong; this question probation should've been this hard so I might have taken a wrong turn somewhere. feel free to double check my work
Answer:
4 and 5
Step-by-step explanation:
Let's make an equation to solve. Let's call "one number" x. Another number is 1 more than x, so now we have x + 1. x plus x + 1 is equal to 9... and this gives us our equation:
x + (x + 1) = 9
We can now simplify by adding like terms together:
2x + 1 = 9
Now, let's take away 1 from both sides:
2x = 8
We can finally divide both sides by 2 to isolate x:
x = 4
One of our numbers is 4. Our other number is one more than 4, and 4 + 1 = 5. So our numbers are 4 and 5.
Hopefully this was helpful! If you need more help, let me know.
