Answer:
sinѲ = -1/√5 or -√5/5
Step-by-step explanation:
On the Cartesian plane, we have radius (r) and angle (Ѳ) theta.
On the Cartesian plane we also have x, y where:
x = r cosѲ .......Equation 1
and y = r sinѲ ........Equation 2
r = √x² + y²
In the question we are given points (2,-1)
Where x = 2 , y = -1
We would solve for r by substituting 2 for x and -1 for y
r = √ 2² + -1²
r = √ 4 + 1
r = √5
In the question, we were asked to find what sin theta (Ѳ) is. Hence, we would be substituting √5 for r in Equation 2
y = r sinѲ
Where y = -1 and r = √5
-1 = √5 sinѲ
Divide both sides by √5
sinѲ = -1/√5
We can also represent sin Ѳ in a proper form, by multiplying both top and bottom by √5
sinѲ = -√5/5
Therefore, sinѲ = -1/√5 of -√5/5
Answer: The answer is 9 3/4.
Step-by-step explanation: When converting an improper fraction to a mixed number, the first step to take is figure out how many times the denominator goes into the numerator. The number 4 goes into 39
9 times(4 x 9 = 36). The remainder 3 becomes the numerator of the denominator 4, therefore 39/4 converted to a mixed number is 9 3/4.
Answer:
Step-by-step explanation:
Alright, lets get started.
QM is the diameter given.
NL is the tangent given.
The tangent makes 90 degree angle with diameter.
hence the angle QML will be : 90° ............... Answer
Similarly, QMN will also be 90°
The angle PMQ is given as 27°
Hence the angle PMN will be = 
Hence the angle PMN will be =
° ..................... Answer
Hope it will help :)
Answer:
the formula for the volume of a cone is:
1/3hπr²
1/3×12m×π×8m=100.48m³
Answer:
$120
Step-by-step explanation:
<u><em>The complete question is</em></u>
Shelley designed the patio below, in which one side of the patio is a wall of the house. The length of each side of a square on the grid represents 3 meters.
Shelley plans to enclose the patio with fencing. If fencing costs $5 per meter, how much will it cost to enclose the patio?
$40
$60
$120
$180
<u><em>The picture in the attached figure</em></u>
Find the perimeter of the patio in units (without the wall of the house)

Multiply the perimeter by the cost of the fencing per meter
