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3 years ago

Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One hour later they are

Mathematics

1 answer:

marysya [2.9K]3 years ago

4 0

Answer:

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Sarah has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled 6 miles.

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Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

Llana [10]

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

The equation is written in vertex form:

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The vertical line through the vertex is x=h.

Your equation is ...

f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

The given equation can be written in vertex form:

g(x) = 5x² -10x +7

g(x) = 5(x² -2x) +7

g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

Your problem statement tells us ...

h(x) = -(x +2)² +2

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The coordinates of the vertex can also be read from the graph: (-2, 2).

<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

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2 years ago

Analyze the diagram below and complete the instructions that follow.<br><br> Find sin 60 degree

Effectus [21]

Given:

Right triangle

θ = 60°

To find:

sin 60°

Solution:

The reference image is attached below.

The given triangle is a right triangle.

θ = 60°

Using basic trigonometric ratio formula:

$$\sin \theta = \frac{\text{Opposite side to } \theta} {\text{Hypotenuse}}$

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Answer:

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