Answer:
diameter=22
circumference=22pi
Step-by-step explanation:
diameter=2*radius
so 2*11=22
circumference=2pi*r
=2*11*pi
=22pi
Answer:
the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths
= (9 
n ) + (20 (3/5)n) = 9n + 12n = 21n
Step-by-step explanation:
i) there are n noodles in a necklace
ii) there are 9 necklaces
iii) therefore the number of noodles used to make the nine necklaces = 9 n = 9n
iv) there are 3/5 noodles in a wreath
v) there are 20 wreaths
vi) therefore the number of noodles used to make the nine necklaces
= 20 (3/5)n = 12n
vii) the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths
= (9 n ) + (20 (3/5)n) = 9n + 12n = 21n
Answer and Explanation:
The problem provides the following information:
Hypotenuse
=
h
y
p
=
5129
ft
Vertical drop
=
o
p
p
=
1275
ft
To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:
sin
θ
=
o
p
p
h
y
p
θ
=
sin
−
1
(
o
p
p
h
y
p
)
θ
=
sin
−
1
(
1275
ft
5129
ft
)
θ
=
sin
−
1
(
0.2485864691
)
θ
=
14.3938824691
≈
14.4
∘
The angle of depression is
14.4
Answer:
130
Step-by-step explanation:
sum of supplementary angle is 180
180-50
130
