Answer:
Below in bold.
Step-by-step explanation:
Let x be George's age and y be Genemy's age.
x/y = 5/7
(x + 4)/ (y + 4) = 3/4
From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :
(x + 4)/ (1.4x + 4) = 3/4
3(1.4x + 4) = 4(x + 4)
4.2x + 12 = 4x + 16
0.2x = 16 -12 = 4
x = 4/0.2 = 20 = George's age.
So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.
Answer:
1. Lateral: 72 SA: 142
2. SA: 36 Lateral: 24
Step-by-step explanation:
1. perimeter of base times the height
2l+2w x h
2(5) + 2(7) x 7
24 x 3 = 72
Surface area: A=2(wl+hl+hw)=2·(7·5+3·5+3·7)=142
2. Surface Area
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=5·2+4·2+3·2+1
2·﹣54+2·(5·4)2+2·(5·3)2﹣44+2·(4·3)2﹣34
=36
Lateral: A=(a+b+c)h=(5+4+3)·2=24
From the equation of (y+5)^2=12(x+2), Focus is the distance(a) from the vertex(h,k).The equation is written in standard form, where 4a=12, solving for a
4a=12
a=3
The focus of the flashlight is found in 4th quadrant at the coordinates(1,-5).
Guess I have corona....................
The square root of 290 is 17.0294.