Answer:

Step-by-step explanation:
<u>Let's derive a formula</u> :
⇒ Area (triangle) × 3 = Area (square)
⇒ 1/2(bh) × 3 = a²
∴ But a = h (shown in diagram)
⇒ 3/2(bh) = h²
⇒ <u>h = 3b/2</u>
<u>Now, taking tan θ</u> :
⇒ tan θ = b/h
⇒ tan θ = b/(3b/2)
⇒ tan θ = 2b/3b
⇒ tan θ = 2/3
Answer:
The total cost is $345
Step-by-step explanation:
Zoe purchased a barbecue grill originally priced at $600
Discount % = 50%
So, cost after discount = 
Cost after discount =300
Sales tax in Fairfax is 15%
So, cost including tax = 300+0.15(300)
Cost including tax = 345
Hence The total cost is $345
Answer:
4.5m/s^2
Step-by-step explanation:
Given data
Mass= 200kg
Force= 895N
Required
the acceleration a
We know that
F=ma
a= F/m
substitute
a= 895/200
a= 4.5 m/s^2
Hence the accelaration is 4.5m/s^2
Answer:
y = 33.94 mm
x = 19.80 mm
Step-by-step explanation:
Because AC = CB, then ∠ABC = 45°
cos ∠ABC = 24/y
cos 45° = 0.7071 = 24/y
y = 33.94 mm
EF/BC = x/y
14/24 = x/33.94
24x = 475.16
x = 19.80 mm