Answer:
17
Step-by-step explanation:
a[2]+b[2]=c[2]
8*8+15*15=hypotenuse.
64+225=289

hypotenuse=17
Answer:
0.1
Step-by-step explanation:
To set this question up:
1/2 / 5
To solve this turn 5 into 5/1. Then multiply by the reciprocal. (1/5) 1/2 times 1/5 is 0.1
45÷9=5 So then 6x5=30 A=30
Answer:
(At least) 10 centimeters.
Step-by-step explanation:
The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.
We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.
First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:
Since the radius is 2.5 cm, the volume of the full ice cream scoop is:
The volume of a cone is given by:
The radius of the cone is 2.5 cm. Therefore:
The volume of the cone should be equal to the volume of the scoop. So.
The height of the cone should be (at least) 10 cm.
Answer:
16 singles, 56 couples
Step-by-step explanation:
There's two linear equations that we can make: one for money and one for people.
Let the number of single tickets be s and the number of couple tickets be c
.
We know that the amount of money we make is $ = 20
s
+
35
c
=
2280
We also how many people can come P =
1
s
+
2
c
=
128
We know that both s are the same and both c are the same. We have two unknowns and two equations, so we can do some algebra to solve for each.
Take the first minus twenty times the second:
20
s
+
35
c =2280
−
20
s
−
40
c
=
−
2560
−
5
c
=
−
280
⇒
c
=
56
Plugging this back into the second equation,
s
+
2
c
=
s
+
2
⋅
56
=
s
+
112
=
128
⇒
s
=
16