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grandymaker [24]
2 years ago
15

Which of these strategies would eliminate a variable in the system of equations?

Mathematics
1 answer:
romanna [79]2 years ago
8 0

Answer:

Step-by-step explanation:

A

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A rectangle is 4.2 centimetres wide and each diagonal is 8.6 centimetres long. What is the measure of the angle between a diagon
CaHeK987 [17]

Answer:

60.8^\circ

Step-by-step explanation:

First, let's check side lengths.

Using the Pythagorean theorem we can find the length of the other side of the rectangle.

a^2 + b^2 = c^2

4.2^2 + b^2 = 8.6^2

b^2 = 56.32

b = 7.5

The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.

For the angle in question, the 4.2 cm side is the adjacent leg.

The diagonal of 8.6 cm is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

\cos \alpha = \dfrac{adj}{hyp}

\cos \alpha = \dfrac{4.2~cm}{8.6~cm}

\alpha = \cos^{-1} \dfrac{4.2~cm}{8.6~cm}

\alpha = 60.8^\circ

3 0
3 years ago
Use the given functions f and g to find f + g, f − g, fg, and f g . State the domain of each. (Enter your answer for the domain
xeze [42]

Answer: The answers are stated below

Step-by-step explanation: Attached below is the explaination of the solution.

4 0
3 years ago
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