Mellie

Hi! Good to see you too! I feel bad that I rarely come on anymore. You guys are amazing at answering questions all the time.

Hi Melody! Just checking up on this site haha. You guys always help a TON.

Since each letter corresponds with the respective letter given, you can just put it in the same order. What I mean is A corresponds with D, B with E, and C with F. So, if you want CAB, you can do FDE. (a)

and for FED, you can get CBA (b)

I’m pretty sure the answer is 3.5 m/s because 14 meters divided by 4.0 seconds is 3.5. 

Ok so I think the form is ax^2+bc+c

So, 2x^2-3x+3

I did not think that this could be factored, so I am using the quadratic equation:

(-b+-sqrt(b^2-4ac))/2a

(3+-sqrt(9-4(2)(3)))/4

(3+-sqrt(-15))/4

Sqrt(-15) can have "i" taken out because it's imaginary. 

(3+-isqrt(15))/4

answer 1: (3+i sqrt(15))/4

answer 2: (3-i sqrt(15))/4

I hope this is actually correct. 

The volume equation for a cone is (1/3)pi*r^2*h. 

We can plug in the given values. 

(1/3)*3.14*15^2*60

this will give you 14,130 ft^3

I'm hoping I'm correct. Let me know!

We know that sec(x) is equal to cos(x) because it is the reciprocal of cosine.

So, choice d cannot be correct because cos(x) cannot be 0, because it would result in an undefined answer. 

We we know that cosine is adjacent/ hypotenuse. Of course, the reciprocal would be hypotenuse/adjacent. 

If if you look at choice b, c, and e, the numerators (hypotenuse) are all smaller than the denominator (adjacent side). This is not possible because the hypotenuse in a triangle cannot be less than one side. 

this is why choice A must be correct

We know that 23pi/2 is in between 270°(3pi/2) and 360°(2pi).

So, it's reference angle is 24pi/12 - 23pi/2 (because 2pi/1 is equal to 24pi/12).

The reference angle will be pi/12.

We know that sin+cos is equal to 90. and 90° in radians is pi/2. So, (pi/2) - (pi/12) will give you the value of theta, which is 5pi/12

Oh thanks! I'm pretty sure the angles are half the arc measure. So, A would be 60, B would be 80, and C is 40 :)

Thank you geno!! <3

HI!!! I haven't been here in a while. It's good to see you too! Thank you so much for all your help!