Answer:
D) 171 cm²
Step-by-step explanation:
You don’t actually need to decompose it. You could just do it as a trapezoid:
(15+23)/2=19
19x9=171
If you want to decompose it into 2 triangles and a rectangle:
10=15x9=135
1/2(3)(9)=13.5
1/2(5)(9)=22.5
135+13.5+22.5=171 also
Answer: The waiting time will be 32 minutes when 240 people in line.
Step-by-step explanation:
Let us assume that the waiting time is directly proportional to the number of people in the queue.
Equation of direct proportion between variables x and y : 
Put
to find
.

Hence, the waiting time will be 32 minutes when 240 people in line.
Answer: option c.
Step-by-step explanation:
You need to remember the identity:

The inverse of the tangent function is arctangent. You need to use this to calculate the angle "R":
You know that you need to find the measure of "R" and
(which is the opposite side) and
(which is the adjacent side), you can sustitute values into 
Then, you get:

Answer:
a) 450. b) 1:1.25 c) 32 rooms
Step-by-step explanation:
1. 100*4.5 = 450
2. 16:20 divide by 4 -> 4:5 (simplifies to 1:1.25)
3. 64/2 = 32 rooms needed. They have 16.
Sorry if answers are wrong, the picture quality is really poor for me.
Answer:
Jack wants to give a treat to his 4 friends. Jack buys a big chocolate
filled cake. He divides the cake into 1/3 pieces. How much cake did each friend get?