Answer:
The height of the lamp is 18.33 ft
Step-by-step explanation:
We can think in two triangle rectangles, one with cathetus of:
5.5ft and 6ft (the one formed by the woman ad her shadow)
And another triangle with cathetus equal to:
6ft + 14ft (the distance between the end of the shadow and the lamp)
And the other cathetus is the height of the lamp, H.
As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:
H/(6ft + 14ft) = 5.5ft/6ft
H/(20ft) = 5.5ft/6ft.
H = (5.5ft/6ft)*20ft = 18.33 ft
Let x=the amount of roses that Brad buys. (x+3)=the number of daisies that Brad buys.
x+(x+3)=33
Simplify this problem to find the amount of roses:
2x+3=33
2x=30
x=15
So, Brad buys 15 roses and 18 daisies.
Since roses cost $3, 15*3=45.
The roses cost $45.
Hope this helps! :)
Answer:
81y^4
Step-by-step explanation:
(-3y)^4 = (-3)^4y^4 = 81y^4
$600 because you must multiply. 150/ (25/100)... 1,500/25= 600