Answer:
A = 20sinθ(6 + 5 cosθ) cm²
Step-by-step explanation:
Drop perpendiculars DE and CF to AB.
Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.
The formula for the area of the trapezium is
A = ½(a + b)h
DE = 10sinθ
AE = 10cosθ
BF = 10cosθ
EF = CD = 12 cm
AB = AE + EF + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ
A = ½(a + b)h
= ½(12 +12 + 20 cosθ) × 10 sinθ
=(24 + 20 cosθ) × 5 sinθ
= 4(6 + 5cosθ) × 5sinθ
= 20sinθ(6 + 5 cosθ) cm²
Answer:337.5 miles
Step-by-step explanation:
Find the unit rate 135/6 = 22.5/1
He can drive 22.5 miles on 1 gallon of gas
Then multiply by 15
22.5x15= 337.5
<h2>Greetings!</h2><h3>When multiplying two roots together, you can rearrange the equation so that the roots are next to each other and so are the whole numbers:</h3>
2 x 3 x 
x 
<h3>This means that 2 x 3 is simple, = 6,</h3><h3>But when multiplying
you simply multply the two numbers and put them in a square root:</h3>
= 
<h3>But this can be square rooted to 6, which then means that the equation is now:</h3>
2 x 3 x 6 = 36
<h3>So the simplified form is 36.</h3>
<h2>Hope this helps!</h2>
Answer:
Rewrite the equation as
3
b
+
4
c
=
a
.
3
b
+
4
c
=
a
Subtract
4
c
from both sides of the equation.
3
b
=
a
−
4
c
Divide each term by
3
and simplify.
Tap for more steps...
b
=
a
3
−
4
c
3
Step-by-step explanation:
