Answer:
35.6 yd²
Step-by-step explanation:
Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.
We are Given just 1 side, UV (w). Use the law of sines to find UW (v).
Thus:
W = 137°
w = 19 yd
V = 180 - (137 + 22) = 21° => sum of triangle
v = ??
Plug in the values and solve for v
Multiply both sides by sin(21)
(approximated)
Find area of ∆UVW:
Area = ½*UV*UW*sin(U)
Area = ½*v*w*sin(U)
= ½*10*19*sin(22)
Area = 35.6 yd² (to nearest tenth)
The height of the parallelogram is 8 because using the pythagorean theorem, a^2+b^2=c^2
6^2+x^2=10^2
36+x^2=100
100-36=64
square root of 64=8
area of parallelogram:
a=bh
a=8*14
a=112 units ^2
hope this helps!
2.15
1hr is 60 min so
60÷15=4
45miles×2hrs=90
45÷4=11.25
90+11.25=101.25 miles
101.25 miles÷ 25 miles per gallon= 4.05 gallons
4.05 gallons× $2.75 per gallon= $11.1375
$11.1375= $11.14
Alicia spends $11.14 on gas to get to work
Answer:
x^2 +x +1
Step-by-step explanation:
See below for the tableau. The quotient is x^2 +x +1.
___
The remainder is 2.
D+100+40=180
d=180-100-40=40 (sum of all angles)
e= 100+40= 140 (exterior angle)
180-140=40
C+50+40=180
C=180-50-40= 90 (right angle)
A=50
B=180-90-50= 40
