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Answer:
w = 4 cm
Step-by-step explanation:
recall that the area of a triangle is given by
A = (1/2) x base length x height
we are given:
A = 10 cm²
base length = 5 cm
height = w
substituting the values above into the equation,
A = (1/2) x base length x height
10 = (1/2) x 5 x w
20 = 5w
w = 20/5
w = 4 cm
Simplifying that expression will be
32m + 56mp = 8m (4 + 7p)
Answer:
9.00 square units
Step-by-step explanation:
The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.
The subintervals are:
0 ≤ x ≤ 1
1 ≤ x ≤ 2
2 ≤ x ≤ 3
3 ≤ x ≤ 4
MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:
f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25
f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25
f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25
f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25
So the total approximate area is:
A = 3.25 + 1.25 + 1.25 + 3.25
A = 9.00
Graph: desmos.com/calculator/x8dcibqszo
