Answer:
V(cylinder) = πr²h
h=3 cm
r=2 cm
V(cylinder) = πr²h = π*2²*3 =12π cm³
Answer : 12π cm³.
A volleyball league organizer collected $2,040 for both divisions of volleyball teams. The Blue division costs $160 per team and the Red division cost $180 per team. How many teams will play in each division.
<h3><u>Answer:</u></h3>
6 teams will play in each division
<h3><u>
Solution:</u></h3>
Given that volleyball league organizer collected $2,040 for both divisions of volleyball teams
The blue division costs $160 per team
The Red division cost $180 per team.
Let the number of blue teams be "b"
Let the number of red teams be "r"
Total cost = number of blue teams x cost of blue division per team + number of red teams x cost of red division per team
Total cost = 160b + 180r
2040 = 160b + 180r
Assuming both divisions have the same number of teams, we substitute b = r = x
2040 = 160x + 180x
2040 = 340x
x = 6
So 6 teams will play in each division
Answer:
People like oranges
Step-by-step explanation:
Given:
Mo likes oranges. Jai likes oranges. Ben likes oranges.
We have a few different options;
Option A: People don't like other fruit, such as apples. This can't be possible because we have only been given people who like oranges.
Option B: People on like oranges. This can't be possible because only is the case where people do not like any fruit except oranges, and we are not sure of this.
Option C: People like oranges. This can be possible because Mo, Jai, and Ben likes oranges
Option D: People like fruit. This can't be possible because we are not sure if people like all fruits or not
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
Answer:
This is a 30-60-90 triangle so you would do this formula:
Short side (opposite the 30 degree angle) = x.
Hypotenuse (opposite the 90 degree angle) = 2x.
Long side (opposite the 60 degree angle) = x√3.
Step-by-step explanation:
