Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
Answer:
and
Step-by-step explanation:
A conjunction is formed when two statements join with the connector <u>and.</u>
The symbol used for a conjunction is:
∧
to mean AND.
For example, when you have two statements :
p : It will rain today.
q : I will fetch water.
You can connect the statements to form a compound statement :
It will rain today and i will fetch water. ( p ∧ q ).
21 is the first one, 2.27 is the second answer. Hope it helps!
Answer:
4524.9
Step-by-step explanation:
<u>Area of a parallelogram:</u>
A = bh
A = 63 x 90
A = 5670
<u>Area of half-circle:</u>
A = (πr²)/2
A = (π x 27²)/2
A = (π x 729)/2
A = 729/2π
<u>Combined:</u>
5670 - 729/2π
4524.9
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
