The picture shows a triangular island: Which expression shows the value of q? r cos 55°
r sin 55°
s/sin55°
s/cos55°

In trigonometric ratios, the cos (x) = adjacent over hypotenuse.

Therefore, in the diagram,  cos (55°) = s/q

To isolate q, divide both sides by s

cos (55°) / s = 1/ q

Then flip both numerators and denominators (raise both sides to the power of -1)

q = s / cos (55°)

S/cos 55

Step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24