the surface area is 136
you need to subtract the surface area of the base. It is a square pyramid, so both the sides are 4 inches, meaning you need to multiply 4x4 which is 16 and subtract it from the rest of the area. 136-16=120
There are four identical triangles that have identical surface area because it is a square triangle. So you can divide 120 by four to get the area of one of the triangles. 120/4=30
the formula for the area of a triangle is 1/2 base x height. We know that the base is 4 because that is the length that was given to us. so we can plug in our numbers into the formula
30=1/2(4)(height)
30=2(height)
and from there we can solve. 30/2=15
the height of the triangle is 15, which is also the slant height
to check our work, 1/2(4)(15)=30
4x15=60
1/2x60=30
Answer:
Erik and Mike will meet at 1:24 PM
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Distance between Erik and Mike = 308 miles
Speed that Erik drove = 70 mph
Time Erik left = 10 AM
Speed that Mike drove = 50 mph
Time Mike left = 12 PM
2. At what time will they meet?
For answering the question, let's find how much miles Erik drove at 12 PM, when Mike started to drive towards Erik:
Miles driven by Erik after two hours = Speed * Time
Miles driven by Erik after two hours = 70 * 2
Miles driven by Erik after two hours = 140
Now we can calculate the distance between Erik and Mike at 12 PM, this way:
308 - 140 = 168
At 12 PM the distance between Erik and Mike is 168 miles
t = time it takes Erik and Mike to meet
The equation to solve for t is:
Distance Erik will travel = 70t
Distance Mike will travel = 50t
70t + 50t = 168
120t = 168
t = 168/120
t = 1.4 hours
1.4 hours = 1 hour + 4/10 * 60 minutes = 1 hour + 24 minutes
Time of the day Erik and Mike will meet = 12 PM + 1 hour and 24 minutes
Time of the day Erik and Mike will meet = 1:24 PM
Answer:
1:24 pm
Step-by-step explanation:
20 questions are worth 2 points and 15 questions are worth 4 points.
Let x represent the number of problems worth 2 points and y represent the number of problems worth 4 points.
The test will consist of 35 questions. Hence:
x + y = 35 (1)
There are 20 questions worth 2 points, hence x = 20:
x + y = 35
20 + y = 35
y = 15
Therefore 20 questions are worth 2 points and 15 questions are worth 4 points.
Find out more at: brainly.com/question/21105092