Hey I tried, hope it helps... can't work it out, all the best
Hello there!
The only thing we have to do here is remember our trigonometric functions!
sin=y/r
cos=x/r
tan=y/x
sec=r/x
csc=r/y
cot=x/y
Knowing that tanᎾ=15/8, we know that y=15 and x=8
Now we need to look at the answer choices and see if they are correct.
A. secᎾ=17/8
Since secᎾ=r/x and r=17 and x=8, this is correct.
B. cosᎾ=15/17
Since cosᎾ=x/r and x=8 and r=17, this is wrong.
C. cotᎾ=8/15
Since cotᎾ=x/y and x=8 and y=15, this is also correct!
D. cscᎾ=17/15
Since cscᎾ=r/y and r=17 and y=15, this is right too.
I really hope this helps!
Best wishes :)
Step-by-step explanation:
1) i will asume x2 and z2 are squares here.
ok, here we only have restrictions to x and z, so y can take all the values in R.
is a circle of radius 6, you can see this if for example we set z = 0, then x goes from -6 to 6, the same if we set x = 0 then z goes from -6 to 6.
and the equation
describes a circle.
So here, the region is the solid cylinder of radius 6, where the Y axis is also the axis of the cylinder.
2) you tipped the same inequality but different numbers in the right side, here i think you are saying that the inequalities describes the set of all points whose distance from the y-axis is equal or less tan 6.
Answer:
3x²+6x+2
Step-by-step explanation:
f(x)+g(x)-h(x)
=(3x+5)+(4x²-2)-(x²-3x+1)
=3x+5+4x²-2-x²+3x-1
=6x²+2+3x
=3x²+6x+2 (rearrange)
Answer:
48 cubes
Step-by-step explanation:
step 1
Find the volume of one 1/2 unit cube
The volume of the cube is given by

where
b is the length side of the cube
we have

substitute


step 2
Divide the volume of the prism by the volume of one cube
