Answer:
1496.79 mm squared
Step-by-step explanation:
Have a good day :)
Answer:
<h3>Right π over 2 Up 2.</h3>
Step-by-step explanation:
We are given a trigonometric function f(x) = −3 cos(2x − π) + 2.
We need to explain the transformations in the given function being applied.
We can see that 2 is being added to −3 cos(2x − π) in th given function.
<em>According to rules of transformations, y=f(x)+D, shifts D units up if D is a positive number.</em>
Therefore, for adding 2 in −3 cos(2x − π), it would shift 2 units up.
Let us see other transformation being applied there.
We can see that π is being subtracted in parenthesis from 2x.
<em>According to rules of transformations, y=f(x-C), shifts C units right if C is a positive value.</em>
Therefore, on subtracting π from 2x in −3 cos(2x) inside parenthesis, the function shifts π units right.
Therefore, correct option for transformations would be :
<h3>Right π over 2 Up 2.</h3>
Answer:
1,200 kilometers (km)
Step-by-step explanation:
The scale of a map = 1:30000000
There are two cities that are 4 cm apart on the map
<u>
First: Find the distance between them</u>
Distance between them = 4 cm × 30,000,000 = 120,000,000 cm
<u>Second: Convert</u>
120,000,000 cm = 1,200 km
So distance between the cities is 1,200 km
Answer:
Step-by-step explanation:
For his birthday, Mr. Moore and three of his friends went to a movie. This means that they are 4 persons
They each got a ticket for $7.00 and the same snack from the concession stand. This means that the total cost of the tickets would be 4 × 7 = $28
If Mr. Moore's mom paid $42 for the group's tickets and snacks, it means that total cost of tickets + total cost of snacks = $42
Let the cost of each snack be $x
Since they are 4 persons and total cos of snacks and tickets is $42,
Total cost of snack will be 4 × x =
Total cost of ticket will be 4 × 7. So
(4 × x) +(4 × 7) = 42
Factorising 4, the expression becomes
4(x + 7) = 42
Solving the equation,
4x + 28 = 42
4x = 42 - 28 = 14
x = 14/4 = 3.5
Each snack cost $3.5
The 4 snacks cist $14