Answer:

Step-by-step explanation:
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
In this problem
m∠RPS=
------> external angle
so
m∠RPS=
we have
m∠RPS=

substitute the values

Solve for arc RS


From the above definition, we can say that the cross-section, as a result of the plane intersecting the sphere through its centre, will be a circle with the radius "r" same as that of the given sphere. Thus, the area of the cross section is 15.2 m²
Answer:
In the operation, simplify
9-a² = (3-a)(3+a)
Factorize
4a²-4a-24-------------------divide each term by 4
a²-a-6-------------------------factorize
a²-3a+2a-6
a(a-3)+2(a-3)
(a+2)(a-3)
Factorize
a²-6a+9
a²-3a-3a+9
a(a-3)-3(a-3)
(a-3)(a-3)
Rewrite operation as

Multiply by the recipricol

cancel the similar terms

Answer:
6 mph
Step-by-step explanation:
Use formula

where
D = distance
r = rate
t = time
In your case,
D = 12 mi
<u>Dina:</u>
D = 12 mi
r = 8 mph
t = ?
So,

<u>Masha:</u>
D = 12 - 3 = 8 mi
r = ?
t = 1.5 hours
Then

We are given the expression (x + 14) - (8 - 2x). The question is asking us to simplify this expression, and we can do that by first using the distributive property. This gives us x + 14 - 8 + 2x. Now, just combine like terms, which gives us 3x + 6. Therefore, the answer to your query is 3x + 6. Hope this helped and have a phenomenal day!