A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people visited the shopping center,
1 answer:
9514 1404 393
Answer:
a) 179
b) 21
Step-by-step explanation:
When making a Venn diagram for a problem like this, it often works well to fill in the "both" quantity first. Then that is subtracted from the number for grocery to find "grocery only", and from the number for drug store to find "drug store only." The sum of the numbers inside the circles (88+33+58) is the number who shopped at the grocery or drug store. The number who shopped at neither is the difference between this number and the total number of shoppers (200-179).
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Answer:
a). Area = 54 square units
b). Perimeter = 33.7 units
Step-by-step explanation:
Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).
(a). Area of the triangle ABC = (Absolute value)
By substituting the values from the given vertices,
Area =
=
=
= (-54) unit²
Therefore, absolute value of the area = 54 square units
(b). Distance between two vertices (a, b) and (c, d)
d =
AB =
=
= 10.295 units
BC =
=
= 11.402 units
AC =
= 12 units
Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12
= 33.697
≈ 33.7 units