Answer:
The speed of the balloon is 0.16 m/s.
Step-by-step explanation:
CD = 300 m
Let AD = x
AB = y
time, t = 3 min
Triangle, ADC
![tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m](https://tex.z-dn.net/?f=tan%2015%20%3D%20%5Cfrac%7BAD%7D%7BBC%7D%5C%5C%5C%5C0.27%20%5Ctimes%20300%20%3D%20x%20%5C%5C%5C%5Cx%20%3D%2080.4%20m)
Triangle, BCD
![tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m](https://tex.z-dn.net/?f=tan%2020%20%3D%20%5Cfrac%7BBD%7D%7BBC%7D%5C%5C%5C%5C0.36%20%5Ctimes%20300%20%3D%20x%20%2B%20y%20%5C%5C%5C%5Cx%20%2B%20y%20%3D%20109.2%20m)
So, y = 109.2 - 80.4 = 28.8 m
Speed = 28.8/180 = 0.16 m/s
Answer:
60 cm³
Step-by-step explanation:
Applying,
Volume (V) = Area of the base(A)×Height(h)
V = Ah................ Equation 1
From the diagram,
A = Area of Trapezium
A = 1/2(a+b)c............. Equation 2
Substitute equation 2 into equation 1
V = [1/2(a+b)c]h........... Equation 3
Given: a = 3 cm, b = 7 cm, c = 3 cm, h = 4 cm
Substitute these values into equation 3
V = [3(3+7)/2]4
V = (3×10/2)4
V = (3×5)4
V = 15×4
V = 60 cm³
There are 8 pints in one gallon. So, Avery would need 8 times 2 pints because she needs 2 gallons and there are 8 pints in every gallon.
8 x 2 = 16
Now subtract what she already has from the total she needs.
16 - 7 = 9
So, Avery needs 9 more pints of milk.
Prism A 4x1x2=8
prism B 8x2x4=64
8/64 is the ratio, simplified would be 1/8
Domain: x>0
range: -infinite