Area as a function of length can be written as
f(l) = l^2
And volume of cube can be expressed as a function of side s as,
f(s) = s^3
Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:


Last, to find c we just notice that it is supplementary with an angle of measure 65, so:


So our angles are a=40, b=50, c=115.
Hello!
The find the volume of a cone you divide the product of the base and height by 3. First we find the area using

r².
A=49(3.14)=153.86
Now we multiply this by the height.
153.86(18)=2769.48
Now we divide by 3.
2769.48/3=923.16
Now we divide this number by 21 to see how many days it will take for the container to become empty.
923.16/21=43.96≈44
Therefore, our answer is
A) 44 days.
I hope this helps!
Y=250+2x is the amount she spends
y=12x is the amount she makes
If the amount she spent = the amount she makes then she break even
250+2x=12x
250=12x-2x
250=10x
So x = 250/10=25 necklaces she needs to sell to break even
Answer is 25 necklaces
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:




