The 90° CCW transformation is
... (x, y) ⇒ (-y, x)
For your point, this is ...
... (-3, -4) ⇒ (-(-4), -3) = (4, -3)
___
What boxes?
We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:
cot(θ) = (√55)/3
So we know that θ is an acute angle in a right triangle, and we get:
sin(θ) = 3/8
Remember that:
- sin(θ) = (opposite cathetus)/(hypotenuse)
- hypotenuse = √( (opposite cathetus)^2 + (adjacent cathetus)^2)
Then we have:
opposite cathetus = 3
hypotenuse = 8 = √(3^2 + (adjacent cathetus)^2)
Now we can solve this for the adjacent cathetus, so we get:
adjacent cathetus = √(8^2 - 3^2) = √55
And we know that:
cot(θ) = (adjacent cathetus)/(opposite cathetus)
Then we get:
cot(θ) = (√55)/3
If you want to learn more, you can read:
brainly.com/question/15345177
Answer: 15
Step-by-step explanation:
15 newspapers in every recycling bin
Answer:
el nuevo salario es 4680
Step-by-step explanation:
Dado
Salario = 4.500
Incremento = 4%
Necesario
Determinar el nuevo salario
El nuevo salario se calcula utilizando lo siguiente:
Nuevo salario = salario anterior + 4% * salario anterior
Nuevo salario = 4500 + 4% * 4500
Nuevo salario = 4500 + 180
Nuevo salario = 4680
Por lo tanto, el nuevo salario es 4680
Imagine that the variable c represents something tangible, like an orange. So what this equation is asking is subtract 1 orange from 12 oranges. So you are left with 11 oranges.
Another way to think about this problem is if you rewrite the equation slightly to:
12c - c =
12c - 1c =
11c
