L=3w+5
2(3w+5)+2w=250 (both w and l have to be multiplied by two because there are two sides)
This can be simplified to: 6w+10+2w=250
Now subtract 10 from both sides and add the two w's together.
This makes: 8w=260
Divide both by 8: 32.5-w=32.5
32.5 times 2=65
250-65=185, divided by 2=92.5
Length=92.5
Width=32.5
hope this helped!
I think this is what it's asking for...
a) 17 is the total amount ran
5 is the number of miles
x is the hours (which is unknown)
you have to find x. the problem says that there are 5 miles per hour so your x would go with your 5. the 17 stays on the opposite side of the =
17=5x
b) to find the amount of time (x) just solve for x
17=5x is your equation
you now have to isolate the x (do this by dividing 5 on both sides of the equation)
5/x= x alone
17/5=3.4
3.4=x
* remember that x is hours in this problem, so round if you need too
Answer:
BC = 15.01
Step-by-step explanation:
Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:
sinθ = opp / hyp
cosθ = adj / hyp
tanθ = opp / adj
θ means the "angle of reference" (angle we are talking about).
In this problem, θ is A = 65°,
To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.
We also use BC because we need to find it.
In relation to ∠A or θ, <u>AC is adjacent</u> and <u>BC is opposite</u>.
The ratio with adjacent and opposite is tangent.
tanθ = opp / adj Substitute the variables for this question
tanA = BC / AC Substitute the values you know
tan65° = BC / 7 Rearrange this and isolate C
BC = 7tan65° Multiply 7 and tan65 to find the missing side
BC = 15.011548...... Exact answer on your calculator
BC ≈ 15.01 Round to nearest hundredth
Answer:
$6000
Step-by-step explanation:
so she made 72000 in a year, a year as 12 months so to find the monthly rate we just need to divide 72000 by 12 which gives 6000
