Answer: 110°
<u>Step-by-step explanation:</u>
∠A ≅ ∠B
since ∠A = 35° (given), then ∠B = 35°
Use the Triangle Sum Theorem to find ∠C:
∠A + ∠B + ∠Q = 180°
35° + 35° + ∠Q = 180°
70° + ∠Q = 180°
∠Q = 110°
The central angle (∠AQB) ≅ arc AB
since ∠AQB = 110° (solved above), then arc AB = 110°
Step-by-step explanation:
-17 < 3 - 5x
-3 -3 step 1: subtract 3 from both sides
-20 < -5x
/-5 /-5 step 2: divide both sides by 5
4 < x
Answer:
D. y ≥ 2x – 2
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≥
2
x
+
2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≥
−
2
x
+
2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≤
2
x
−
2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≥
2
x
−
2
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%
b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%
Answer:
C
Step-by-step explanation:
So first, you find the area of a rectangle, which would be 15 * 30 = 450. Next, find the area of the semicircle by doing
(you have to divide by 2 because it's only have a circle).
The radius is half of 15, so 15 / 2 = 7.5. This would be:




The last step is to add 450 + 88.3125 = about 538.3 m^2