Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A = 
bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
× 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A = × BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )
Answer:
66
Step-by-step explanation:
EHG is a straight line so it is 180°.
You already know the value of FHG, so you can find the value of 2x.
180° = 48° + 2x
2x = 180° - 48°
= 132
x = 132° ÷ 2
= 66
Answer: $525
Step-by-step explanation:
The formula for Simple interest is calculated as PRT where
P = Principal = $7500
R = Rate = 3.5%
T = Time = 2 years
Interest = PRT
= 7500 × 3.5% × 2
= 7500 × 0.035 × 2
= $525
2 x 4 = 8
2 x X = 2x
so 8 + 2x
Answer:
There are 5 steps. The solution is (5/4,5)
Step-by-step explanation:
1. In the y+5x=x+10 equation, subtract 5x from both sides to get y=-4x+10.
2. Set y=-4x+10 and y=4x equal to each other to get -4x+10=4x
3. Add 4x to both sides, which leaves you with 10=8x
4.Divide both sides by 8 to get x=10/8 or 5/4 when you simplify
5. Plug 5/4 into the y=4x equation and multiply 5/4 by 4/1, which leaves you with 20/4, or 5.
So the solution to this problem is (5/4,5). If you graph these two equations, you will get the same solution.
