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:
V= 240 sq cm
A= 268 sq cm
Step-by-step explanation:
V= l * w * h
V= 10 * 8 * 3
V= 240 sq cm
A=2(wl+hl+hw)
A=2(8*10 + 3*10 + 3*8)
A= 268 sq cm
Answer:
AOB+BOC=180 grade
=>AOB=80 grade
MOB=40 grade
BON=50 grade
=>MON=90 grade
Step-by-step explanation:
answered
D. Infinitely many because the lines will never Intersect which means there are infinitely solutions
Answer:
Step-by-step explanation:
The two sides add up to 12. If the third "side" of the triangle is 12, then 5 and 7 will lie horizontally on 12.
So the maximum value must be less than 12. What's the smallest x could be?
well 5 + something must be > than 7. If they are not larger than 7, then 5 and something will lie on 7 just as it did before. So how big is something?
5 + y > 7
5 - 5 + y > 7 - 5
y > 2
So the range is 2 < x < 12
How else could you write this?
2 < x
x < 12 is one way.
