Answer:
<u>x = 30°</u>
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
<u>x = 30°</u>
Answer:
Direction parabola opens upward.
Vertex of parabola is (27,-9).
Axis of symmetry is 
.
Step-by-step explanation:
Note: Option sets are not correct.
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and x=h is the axis of symmetry.
If a<0, then parabola opens downward and if a>0, then parabola opens upward.
The given function is
...(2)
On comparing (1) and (2), we get
, so direction parabola opens upward.
, so vertex of parabola is (27,-9).
So, axis of symmetry is .
Answer:
7
Step-by-step explanation:
→ Substitute x = -1 into - 5x + 2
-5 × -1 = 5
5 + 2 = 7
Answer:
a=-6
Step-by-step explanation:
2(3-a)=18
3-a=18/2
3-a=9
a=3-9
a=-6
Answer:
There are 60 monkeys in the Zoo
Step-by-step explanation:
In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.
Let’s have the total number of monkeys be m.
60% are going monkeys. This means number of young monkeys is 0.6m.
The number of baby and old monkeys is obviously 0.4m.
Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m
Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.
Let’s project this mathematically;
This means ;
0.6m - 0.3m = 18
0.3m = 18
m = 18/0.3
m = 60
There are 60 monkeys in the zoo
