Answer:
161.8cm²
Step-by-step explanation:
solve for height which is the opposite
opp=x
sin(theata)= opp./hyp.
sin23=x/30
x=30×sin23
x=11.72cm
height=opposite
height=11.72cm
base=adjacent
base=27.6cm
½of 27.6cm=13.8
13.8cm×11.72cm=161.74 (2d.p)
161.74 rounded to the nearest tenths= 161.7
I'm not sure if it's the answer but it's the closest thing to the options
Answer:
14,800
Step-by-step explanation:
To find the volume of an object, simply multiply its hight, length, and width together.
16*25*37
16*25=400
400*37=14,800
The rectangular prism has a volume of 14,800.
Hope this helps!
Answer:
Step-by-step explanation:
1. a) vertical stretch by a factor of 5 and
e) reflection over x-axis
2. c) reflection over the y-axis
e) horizontal shift to the right 4 units
3. c) horizontal shift
Force 1, F1 = 90, angle 30°
Force 2, F2 = 50, angle 160°
F1 = 90 cos(30) i + 90 sin (30) j
F2 = 50 cos (160) i + 50 sin (160) j
F1 = 90*0.866 i + 90*0.5 j
F2 = 50*(- 0.940) i + 50*0.342 j
F1 = 77.94 i + 45 j
F2 = -47 i +17.10 j
Resultant force, Fr = F1 + F2
Fr = [77.94 - 47.00] i +[45 +17.10]j = 30.94 i + 62.10 j
Magnitude = √[30.94 ^2 + 62.10^2] = 69.38 pounds
Direction = arctan[62.10/30.94] = 63.52 °
