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1 year ago

What is the measurment of the angle TRS?

1 answer:

8 0

From the figure we notice that the triangle is an isosceles one. This means that the angles RTS and RST are the same. Hence:

$m\angle RTS=m\angle RST=71$

To find the remaining angle we need to use the fact that the sum of the interior angles of any triangle is 180, then:

$m\angle TRS+m\angle RTS+m\angle RST=180$

Plugging the values we know and solving for TRS we have:

$\begin{gathered} m\angle TRS+71+71=180 \\ m\angle TRS=180-71-71 \\ m\angle TRS=38 \end{gathered}$

Therefore, the angle TRS is 38°.

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Solve the simultaneous equations 8 x + 5 y = 28 4 x + 5 y = 16

Nostrana [21]

Answer:

x=3, y=0.8

Step-by-step explanation:

8x+5y=28

4x+5y=16

Subtract the second simultaneous equation from the first.

You are left with: 4x=12

12/4=3

x=3

Substitute this back into one of the equations.

8(3)+5y=28

8*3=24

28-24=4

4=5y

4/5=0.8

y=0.8

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3 years ago

Read 2 more answers

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kaheart [24]

I’m going to say the top one it seems like that would be correct

6 0

2 years ago

Read 2 more answers

Help plz:) photo attached

bonufazy [111]

Answer:

y=5x+25

Step-by-step explanation:

Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25

y=5(0)+25

y=0+25

y=25

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2 years ago

A car traveled from Los Angeles to San Francisco in 6 hours at an average rate of x miles per hour. If the car returned along th

Alenkinab [10]

Answer:

Step-by-step explanation:

What we need to know simply is the time taken for both trips. We know the car spent 6 hours on the first leg, that is settled.

What we do not know is the time spent on the second leg. To get the time spent on the second leg of the journey, we only need to get the total distance divided by the speed.

We can get the distance using the first part of the question. The time is 6 hours and the speed is x miles per hour, the total distance is this 6x miles.

Now we need to know the time spent on the second leg of the journey. We know that the distance is the same. Hence the time spent is 6x/y where y is the speed for the second leg and 6x is the length of each leg

Now the total time spent is thus (6x/y +6) hours. We need to however convert this to minutes. We do this by multiplying by 60

(6x/y + 6) * 60

4 0

2 years ago

Let (-7, 2) be a point on the terminal side of 0.

nekit [7.7K]

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are $\sin \theta = \frac{2}{\sqrt{53}}$ , $\sec \theta = -\frac{\sqrt{53}}{7}$ and $\tan \theta = -\frac{2}{7}$ .

<h3>How to determine the exact values</h3>

In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:

Sine

$\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}$ (1)

Secant

$\sec \theta = \frac{\sqrt{x^{2}+y^{2}}}{x}$ (2)

Tangent

$\tan \theta = \frac{y}{x}$ (3)

If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:

Sine

$\sin \theta = \frac{2}{\sqrt{53}}$

Secant

$\sec \theta = -\frac{\sqrt{53}}{7}$

Tangent

$\tan \theta = -\frac{2}{7}$

<h3>Remark</h3>

The statement reports typing errors, correct form is shown below:

<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>

To learn more on trigonometric functions: brainly.com/question/6904750

#SPJ1

5 0

1 year ago