The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: brainly.com/question/14285697
Answer:
total cost for Samantha to get her degree = $5,128.2
Step-by-step explanation:
Number of trimesters per year = 3
Number of years = 4
∴ Total number of trimesters throughout college = 3 × 4 = 12 trimesters
Tuition per trimester = $2.350
Total tuition (12 trimesters) = 2.350 × 12 = $28.2
cost of books per trimester = $425
cost of books throughout college (12 trimesters) = 425 × 12 = $5,100
total cost for Samantha to get her degree = total cost of tuition + total cost of books
total cost for Samantha to get her degree = 28.2 + 5,100
total cost for Samantha to get her degree = $5,128.2
Answer:
d. 0.4013
Step-by-step explanation:
Half of the area under the normal curve is found to the left of the midpoint, where z=0. For negative values of z, the area under the curve is less than half.
Area under a normal curve is always a positive value between 0 and 1, so will never be negative.
The only value that can be an area in a left-hand tail is 0.4013.
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<em>Additional comment</em>
That value corresponds to z ≈ -0.25.
