Answer:
15 in.
Use this website : http://graysonmath.com/wp-content/uploads/2018/10/HM2_6.4-Practice-Key.pdf
Step-by-step explanation:
Answer:
4P4 means the number of ways (permutations) of arranging 4 items from a collection of 4 items.
Step-by-step explanation:
It could be c but I’m not sure
Tan (Ф/2)=⁺₋√[(1-cosФ)/(1+cosФ)]
if π<Ф<3π/2;
then, Where is Ф/2??
π/2<Ф/2<3π/4; therefore Ф/2 is in the second quadrant; then tan (Ф/2) will have a negative value.
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
Now, we have to find the value of cos Ф.
tan (Ф)=4/3
1+tan²Ф=sec²Ф
1+(4/3)²=sec²Ф
sec²Ф=1+16/9
sec²Ф=(9+16)/9
sec²Ф=25/9
sec Ф=-√(25/9) (sec²Ф will have a negative value, because Ф is in the sec Ф=-5/3 third quadrant).
cos Ф=1/sec Ф
cos Ф=1/(-5/3)
cos Ф=-3/5
Therefore:
tan(Ф/2)=-√[(1-cosФ)/(1+cosФ)]
tan(Ф/2)=-√[(1+3/5)/(1-3/5)]
tan(Ф/2)=-√[(8/5)/(2/5)]
tan(Ф/2)=-√4
tan(Ф/2)=-2
Answer: tan (Ф/2)=-2; when tan (Ф)=4/3
9514 1404 393
Answer:
cone: 138.16 in²
pyramid: 352 m²
Step-by-step explanation:
Use the appropriate formula from your list of area and volume formulas.
<u>Area of a Cone</u>
A = πr(r +h) . . . . . where r is the radius and h is the slant height
The radius is half the diameter, so is 4 inches.
A = π(4 in)(4 in + 7 in) = 44π in² ≈ 138.16 in²
__
<u>Lateral Area of a Square Pyramid</u>
A = 2sh . . . . . where s is the side length of the base and h is the slant height
A = 2(8 m)(22 m) = 352 m²
