Answer:
when n=0, x=18°
when n=1, x= 90°
when n=2 x=18+72*2=162°
when n=3, x=18+72*3=234°
when n=4, x=18+72*4=306°
or
x= 18 + 72n, when n={0,1,2,3,4}
Step-by-step explanation:
4sin(5x) =4
sin(5x) = 1
sin(α) = 1, when α=90° + 360n
5x = 90° +360n
x= 18 + 72n
when n=0, x=18°
when n=1, x= 90°
when n=2 x=18+72*2=162°
when n=3, x=18+72*3=234°
when n=4, x=18+72*4=306°
when n=5, x°=18+72*5 = 378°
General answer : x= 18 + 72n, when n={0,1,2,3,4}
Answer:
Let c represent the number of cows
Let h represent the number of horses
There are 2 more horses than cows in a field
⇒there are extra two horses are always than cows
⇒ horses-cows =2
⇒ hourses=2+cows
⇒ h =2+c
There are 16 animals in the field in all.
⇒ h +c=16
⇒ (2+c)+c=16
⇒ 2+2c=16
⇒ 2+2c-2=16-2
⇒2c=16-2
⇒ 2c=14
c=7
Step-by-step explanation:
Answer: $107
Step-by-step explanation:
Tip = 20 % of $90
= 20/100 × $90
=$18
Sales tax at 10% = 10/100 × $90
= $9
Total cost= $90 + $18 + $9
= $107
Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer:
30.6
Step-by-step explanation:
The area of a parallelogram is base * height.
Base = 6.8
Height = 4.5
6.8 * 4.5 = 30.6
