Answer:
24 ft
Step-by-step explanation:
The first step is to have uniform units hence we convert the inches to ft.
Conversion
1 inch is equal to 0.0833 ft hence 9 inches will be 9*0.0833=0.75 ft
The shadow of the man is 4.75 ft while actual height is 6ft
By cross multiplication concept, we evaluate that
6ft=4.75 ft shdow
X ft= 19 ft shadow
X=6*19/4.75=24 ft
Therefore, the actual beam height is 24 ft
Answer:
y=2x+23/5
Step-by-step explanation:
Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Answer:
s = 5.1
Step-by-step explanation:
![0.7 (3s + 4)-1.1s = 7.9\\](https://tex.z-dn.net/?f=0.7%20%283s%20%2B%204%29-1.1s%20%3D%207.9%5C%5C)
Multiply both sides of the equation by 10
![0.7\left(3s+4\right)\cdot \:10-1.1s\cdot \:10=7.9\cdot \:10\\\\= 7\left(3s+4\right)-11s=79\\](https://tex.z-dn.net/?f=0.7%5Cleft%283s%2B4%5Cright%29%5Ccdot%20%5C%3A10-1.1s%5Ccdot%20%5C%3A10%3D7.9%5Ccdot%20%5C%3A10%5C%5C%5C%5C%3D%207%5Cleft%283s%2B4%5Cright%29-11s%3D79%5C%5C)
Expand
![\mathrm{Expand\:}7\left(3s+4\right)-11s:\\\quad 10s+28](https://tex.z-dn.net/?f=%5Cmathrm%7BExpand%5C%3A%7D7%5Cleft%283s%2B4%5Cright%29-11s%3A%5C%5C%5Cquad%2010s%2B28)
Subtract 28 from both sides
![10s+28-28=79-28](https://tex.z-dn.net/?f=10s%2B28-28%3D79-28)
Simplify
![10s=51](https://tex.z-dn.net/?f=10s%3D51)
Divide both sides of the equation by 10
![\frac{10s}{10}=\frac{51}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10s%7D%7B10%7D%3D%5Cfrac%7B51%7D%7B10%7D)
Simplify
![s=\frac{51}{10}\\\\Decimal = 5.1](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B51%7D%7B10%7D%5C%5C%5C%5CDecimal%20%3D%205.1)
Answer:
It’s c I think
Step-by-step explanation:
On edg