Answer: the base is 28 inches. The altitude is 9 inches
Step-by-step explanation:
Let h represent the altitude of the sign.
Let b represent the length if the base of the sign.
The warning sign is triangular in shape.
The formula for determining the area of a triangle is expressed as
Area = 1/2bh
The base of the sign is 9 inches longer than the altitude. This means that
b = h + 9
If the area of the sign is 266 square inches, it means that
266 = 1/2 × h(h + 9)
266 × 2 = h(h + 9)
532 = h² + 9h
h² + 9h - 532 = 0
h² + 28h - 19h - 532 = 0
h(h + 28) - 19(h + 28) = 0
h(h + 28) - 19(h + 28) = 0
(h + 28)(h - 19) = 0
h = 19 or h = - 28
Since the height cannot be negative, then h = 19
b = h + 9 = 10 + 9
b = 28
You know this is just a formula, right?
Answer:
Example to help you out!
May rides her bike the same distance that leah walks. may rides her bike 10 km/h faster than leah walks. if it takes may 1 h and leah 3 h to travel that distance, how fast does each travel?
----------------------------------------
May DATA:
time = 1 hr. ; rate = x+10 mph ; distance = rt = (x+10)*1 mi
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Leah DATA:
time = 3 hr. ; rate = x mph ; distance = rt = 3x mi
-----------------------
Equation:
distance = distance
x+10 = 3x
2x = 10
x = 5 mph (Leah's rate)
x+10 = 15 mph (May's rate)
Step-by-step explanation:
The dataset 78 is an outlier of the dataset
<h3>How to determine the true statement about the outlier?</h3>
The dataset is given as:
1, 12, 13, 15, 18, 20, 35, 37, 40, 78
Where
Q1 = 13
Q3 = 37
The boundaries of the outliers are given as:
L = Q1 - 1.5 * (Q3 - Q1)
U = Q3 + 1.5 * (Q3 - Q1)
Substitute the known values in the above equation
L = 13 - 1.5 * (37 - 13) = -23
U = 37 + 1.5 * (37 - 13) = 73
This means that the data elements outside the range -23 to 73 are outliers.
78 is outside this range
Hence, 78 is an outlier of the dataset
Read more about outliers at:
brainly.com/question/3631910
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