Nick = n
Ray = r
n=3r-30
n+r=74
3r-30+r=74
4r-30=74
4r=104
r=26
n=26*3-30
n=78-30
n=48
Nick is 48 years old and Ray is 26 years old
Hope this helps.
For the first one your equation is h(d)=3/7d+5
If d represents the number of days and the question is wanting to know the height after 1 week (7 days) then you would get this equation once 7 is in the place of d
h(d)=3/7(7)+5
When solved you answer is 8 inch.
For the second one your equation is f(x)=75x+250
If x represents the number of weeks and the question is asking how much money Sam will have after 12 weeks then you will get this equation once putting in 12
f(x)=75(12)+250
Once solved you will get the answer $1150
Hope this helps! :)
This would probably be B.
Answer: 30
Step-by-step explanation:
Because you can break the pentagonal base into triangles and the formula to find the area of a triangle is 1/2 Bh so 840/14 = 60 divided by 1/2 = 30
Answer:
about 102 feet
Step-by-step explanation:
From the definition of the cotangent function, we can write ...
h·cot(α1) = d1
h·cot(α2) = d2
Where h is the building height and (α1, d1), (α2, d2) are (elevation angle, distance from the building) for the two cases.
We have d2 - d1 = 10 ft, so ...
h(cot(68°) -cot(73°)) = 10 ft
h = (10 ft)/(cot(68°) -cot(73°)) ≈ (10 ft)/(0.404026 -0.305731) ≈ 101.73 ft
The building is about 102 feet tall.
