Answer:
1). a
2). b
3). c
4). d
Step-by-step explanation:
From the picture of a cone attached,
Radius of the circular top = r
Height of the cone = h
Slant height of the cone 'l' = 6
Area of the circular top of the cone with radius 'r' = πr²
Amount of space inside the cone = Volume of the cone = 
The amount of wrapper needed to cover the side of the ice cream cone, not including the circular top of the cone = πrl = πr(6 in.)
The vertical height 'h' of the cone when the cone is standing upright = 
[By Pythagoras theorem, l² = h² + r² ⇒ h = 
]
Answer:
See below.
Step-by-step explanation:
We know that
tanA + tan B
tan (A + B) = ---------------------
1 - tanAtanB
Substituting for A + B
tan (A + B) = tan pi/4 = 1.
tanA + tan B
So ------------------ = 1
1 - tanAtanB
Therefore tanA + tan B = 1 - tanAtanB.
Answer:
A) 8, 15, 17.
Step-by-step explanation:
Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.
The Pythagorean theorem states that: 
Thus:
Option A:
→ 17 = 17 OK!
Option B:
→ 10 ≠ 12 NO
Option C:
![\sqrt{9^2+11^2} = [tex]\sqrt{202}](https://tex.z-dn.net/?f=%5Csqrt%7B9%5E2%2B11%5E2%7D%20%3D%20%5Btex%5D%5Csqrt%7B202%7D)
[/tex] → 
≠ 21 NO
Option D:
→ 
≠ 16 NO
