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Alexxandr [17]
3 years ago
11

Use function notation to represent each statement:

Mathematics
2 answers:
aev [14]3 years ago
7 0

Answer: V(4)=257

Step-by-step explanation:

It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time

Mashutka [201]3 years ago
5 0

Answer:

f(1) = 257

Step-by-step explanation:

x-variable: 1 (time is the independent variable)

y-variable: 257 (number of visitors is the dependent variable)

When the time is at 1 (1pm), there are 257 visitors

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Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'
GrogVix [38]

Answer:

The area of triangle M is 1.44 times the area of triangle M.

Step-by-step explanation:

From Geometry we remember that the area formula of the triangle is:

A = \frac{1}{2}\cdot b\cdot h (1)

Where:

b - Base of the triangle, dimensionless.

h - Height of the triangle, dimensionless.

A - Area of the triangle, dimensionless.

The dillation of the triangle by a scale factor means that:

A' = \frac{1}{2}\cdot b'\cdot h' (2)

b' = k\cdot b (3)

h' = k\cdot h (4)

Where:

b' - Dilated base of the triangle, dimensionless.

h' - Dilated height of the triangle, dimensionless.

A' - Dilated area of the triangle, dimensionless.

k - Dilation factor, dimensionless.

If we know that k = 1.2, then the area formula for the dilated triangle is:

A' = \frac{1}{2}\cdot (k\cdot b)\cdot (k\cdot h)

A' = k^{2}\cdot \frac{1}{2}\cdot b\cdot h

A' = k^{2}\cdot A

Therefore, the area of triangle M is 1.44 times the area of triangle M.

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