Answer: 33 square units
Step-by-step explanation:
Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.
Heron's formula:-
, where s is the semiperter and a,b and c are the side-lengths of the triangle.
Let a=16 , b=10 and c=8
Then,
Using Heron's formula:-
Answer:
B) SAS
Step-by-step explanation:
Notice that there are two pairs of congruent sides, AC is congruent with ZX, and BC is congruent with YZ. Since there's one angle in each triangle that's congruent to each other, we can say B is the only true answer.
Sin 45=x/s
s=x/sin 45
s=x√2
sin 60=s/12√6
(√3/2)(12√6)=x√2
(18√2)/√2=x
x=18
Answer:
The domains are;
0 < x < 3 for f(x) = 15
3 ≤ x ≤ 7 for f(x) = 22
7 < x ≤ 15 for f(x) = 30
Step-by-step explanation:
The duration the amusement park is opened, t = 15 hours
The number of days the amusement is opened = 7 days a week
The prices for the admission are;
x < 3 hours = $15
3 ≤ x ≤ 7 hours = $22
x > 7 hours = $30
The functions are;
f(x) = 15 when x < 3; The domain = 0 < x < 3
f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7
f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.
Answer:
There are 
rows in the theater.
Step-by-step explanation:
Given terms.
Seats in order 
will form an Arithmetic progression.
As the common difference 
,same for three consecutive terms so this an AP.
Now accordingly we can put the AP terms.
Total number of seats 
Seats in the first row 
Seats in the last row 
Summation of 
terms in AP
![S_n={\frac{n}{2}[2a+(n-1)d]}](https://tex.z-dn.net/?f=S_n%3D%7B%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%7D)
OR
![S_n=\frac{n}{2}[a+l]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Ba%2Bl%5D)
Using the second equation.
![1560=\frac{n}{2}[23+81]](https://tex.z-dn.net/?f=1560%3D%5Cfrac%7Bn%7D%7B2%7D%5B23%2B81%5D)
So the number of rows (n) in the theater 
