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Answer:
m = -1
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
-13 = 5(1 + 4m) - 2m
Step 2: Parenthesis (distribute)
-13 = 5 + 20m - 2m
Step 3: Combine like terms (m)
-13 = 5 + 18m
Step 4: Subtract 5 on both sides
-18 = 18m
Step 5: Divide both sides by 18
-1 = m
Step 6: Rewrite
m = -1
Answer:
The lateral area of this square pyramid is 100 in^2
Step-by-step explanation:
The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.
In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.
AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):
1/2 x 10 x 5 = 25
Multiply that by 4 since all 4 triangular faces are similar:
25 x 4 = 100
So the lateral area of the square pyramid is 100 in^2.
Please rate my answer once you know its score! :DD
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
Answer:
6.33 m/s
Step-by-step explanation:
Given that,
The world record for the men’s 10000 meters was 26 minutes 17.53 seconds.
Distance = 10000 m
Time, t = 26 minutes 17.53 seconds = 1577.53 s
We need to find the average speed throughout the race. It is equal to total distance divided by total time taken.
So, the average speed is 6.33 m/s.
