Answer:
60 miles per hour southeast.
Step-by-step explanation:
We are told that the car is moving southeasternly, so that answers the question right off the bat. The car is moving 120 miles per 2 hours. We need to know how much it moves in one hour though, so we must divide hours and miles by 2. We ger 60 miles per hour.
Step-by-step explanation:
As seen from the graph, f(x) and g(x) intersect each other when x = 3.
Hence, f(3) = g(3).
Answer:

Step-by-step explanation:
The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

where:
is the area of the base, where
L is the length of the base
is the area of each triangular face, where
h is the height of the face
Substituting,

For the model in this problem,
L = 12
h = 8
Therefore, the surface area here is:

The system of equations to find the cost of one adult ticket, a, and the cost of one child ticket, c are Roy's; 6a+2c=66 Elisa's 5a+4c=62.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let's consider adults tickets be a and child tickets be c
so
Roy's purchase
6a+2c=66------1
Elisa's purchase
5a+4c=62-------2
Hence, the system of equations
6a+2c=66------1
5a+4c=62-------2
solving simultaneously
6a+2c=66
5a+4c=62
Also,
12a+4c=132
-5a+4c=62
7a=70
a=$10
put a=70 in 1
6(10)+2c=66
60+2c=66
2c=66-60
2c=6
c=$3
Learn more about equations here;
brainly.com/question/10413253
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Answer:
2784 cm^2
Step-by-step explanation:
I have indicated in the pic there are 4 types of rectangles:
green : 20 x 4 = 80
red : 18 x 4 = 72
yellow : 20 x 18 = 360
blue : 18 x 16 = 288
green has 6 identical surface area so 6 x 80 = 480
red has 4 so 4 x 72 = 288
yellow has 4 so 4 x 360 = 1440
blue has 2 so 2 x 288 = 576
total : 480 + 288 + 1440 + 576 = 2784