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svet-max [94.6K]
2 years ago
14

Find the exact value of y.

Mathematics
1 answer:
Scilla [17]2 years ago
8 0

Answer:

y = \sqrt{3}

Step-by-step explanation:

Use 45-45-90 triangle proportions y: y : y\sqrt{2}

The hypotenuse is y\sqrt{2} so \sqrt{6}=y\sqrt{2}

y = \sqrt{3}

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What is the value of a
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Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x) .
Nadya [2.5K]
See the attached figure. The original triangle is shown in red (triangle ABC). The line of reflection is the blue dashed line. This is the equation y = x. Reflecting triangle ABC over the line y = x results in the purple triangle A'B'C'. 

Note how the x and y values swap places. 
We have...
point A = (5,1) turn into point A' = (1,5)
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8 0
3 years ago
Find the cosine of T.
Ronch [10]

Answer:

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Step-by-step explanation:

The cosine of t is equal to the x-coordinate of point P

6 0
2 years ago
Calculate the side lengths a and b to two decimal places
muminat

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374

\frac{\text{Sin110}}{b}=0.060374

b = \frac{\text{Sin110}}{0.060374}

b = 15.56

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a = \frac{\text{Sin45}}{0.060374}

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

3 0
3 years ago
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