Answer:
20
Step-by-step explanation:
H+S=50
2H+4S=140
4H+4S=200
4H+4S=200-
2H+ 4S =140
2H=60
H=30
50-30=20
The left triangle is a 30-60-90 triangle so line ST = 2 which means line RT is 4 (double the length of ST).
The right triangle is a 45-45-90 triangle which means RT and RQ are congruent.
So if RT = RQ and RT = 4, then x = 4
ANSWER
Emma is 44" tall
EXPLANATION
We have that David cast a shadow 42 inches long and he is 66 inches tall.
At that same place and time, Emma cast a shadow of 28 inches.
Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.
Let Emma's height be x.
The ratio of David's shadow to height is:
42 : 66 or 42 / 66
For Emma, it is:
28 : x or 28 / x
That means that:
So, Emma is 44" tall.
Answer:
494u3t3838
Step-by-step explanation:
3938_383746÷829293837×92929293837=2938487474757
Answer:
Total surface area=
304+9pi
~= 332.3
Step-by-step explanation:
Surface area is the areas of all the parts/sides/surfaces of the shape all added together.
There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.
The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)
BOTTOM: 8×10 =80
SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.
There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80
For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.
CIRCLE (under the dome):
Area of a circle is A=pi•r^2= pi•3^2
A = 9pi
So the flat TOP is:
80 - 9pi ~= 51.7
The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.
DOME =
4pi•3^2•(1/2)
= 4pi•9•(1/2)
= 18pi
~= 56.5
Now add up all the pieces:
80+64+80+80-9pi+18pi
= 304+9pi
~= 304 +28.3
= 332.3
