Answer:
(a) x = 
(b) x = 
Step-by-step explanation:
A. sum of angles in a polygon = (n - 2) 180
The polygon given is an irregular pentagon, where n = 5
So that;
sum of angles in a pentagon = (5 - 2) 180
= 3 x 180
= 
Thus,
x + 90 + 76 + 110 + 136 =
x + 412 =
x = - 412
x =
B. The polygon given is an irregular pentagon, where n = 5.
Let the supplementary angle with angle 38 be represented by y,
y + 38 = 180
y = 180 - 38
= 
y =
Let the supplementary angle with x be represented by z, so that;
z + 72 + 120 + 100 + 142 =
z + 434 =
z = - 434
= 
z =
But, x + z = 
Then;
x + =
x = -
=
x =
Answer:
x = 8.0 m
Step-by-step explanation:
With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.
Answer:
Compount interest earns more. Difference between 2 interest is $92 445.39
Step-by-step explanation:
Simple Interest:
p = $10000
r = 3%
t = 2years
I = (10000×3×2)/100
= $600
Total amount = $10 600
Compound Interest:
p = $100000
r = 3/730 (daily)
t = 730 (2yrs)
A = 100000[1+(3/73000)]^730
= $103 045.39 (2d.p)
Difference = $103045.39 -
$10600
= $92 445.39
(Correct me if i am wrong)
Answer:
134.73
Step-by-step explanation:
Solving for m:
243 = m + 108.27
243 - 108.27 = m + 108.27 - 108.27
134.73 = m
Answer:
56/5
Step-by-step explanation:
2 4/10=24/10
8 4/5=44/5
24/10+44/5=24/10+88/10=112/10=56/5
