Answer:
9 inches
Step-by-step explanation:
Diameter=D
Radius=R
D=(2)R
(18)=(2)R
18/2=2/2 R
9=R
Answer:
The total number of train tickets Aaron can buy=4
Step-by-step explanation:
a). Determine first expression
Let the number of each mode of transport be as follows;
bus ticket=b
train ticket=t
b). Determine the second expression
Let the total cost be expressed as shown;
total cost=(cost per bus ticket×number of bus tickets)+(cost per train ticket×number of train tickets)
where;
total cost=$520
cost per bus ticket=$64
number of bus tickets=b=3
cost per train ticket=$82
number of train tickets=t
replacing;
(64×3)+(82×t)=520
192+82 t=520
82 t=520-192
82 t=328
t=328/82=4
t=4
The total number of train tickets Aaron can buy=4
Recall that:
sin(A + B) = sinAcosB + cosAsinB
Therefore:
sin11°cos19° + cos11°sin19° = sin(11° + 19°)
= sin30° = 0.5
I hope this explains it.
Answer:
Q1. 13 passengers
Q2. 0.1756 (approx. 0.18)
Step-by-step explanation:
Q1. 267 seats are available on the plane
5% is expected to fail to show up
Hence, no of passengers expected not to show up = 267 * 0.05
= 13.35 (approx 13 passengers)
Q2. See working in the attachment as I had to explain it step by step.
Answer: Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.
