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Oliga [24]
3 years ago
12

Can anyone pls Help me in dis pls

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

(-5, 0) and (-1, 0) are the solutions of -2(-x - 3)² + 8 = 0

Step-by-step explanation:

  • Step 1: Find the solutions of -2(-x - 3)² + 8 = 0.

Solutions are the intersecting points of y = -2(-x - 3)² + 8 and y = 0.

⇒ Solutions are (-5, 0) and (-1, 0)

  • Step 2: (-5, 0) and (-1, 0) are solutions of -2(-x - 3)² + 8 = 0
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A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the sa
Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider \triangle ABC:

\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

tan\theta = \dfrac{Perpendicular}{Base}

tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)

Now, let us have a look at another right angled triangle ABD:

Let us consider \triangle ABC:

\angle B = 90^\circ\\\angle ADB = 180-150 = 30^\circ

side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

tan\theta = \dfrac{Perpendicular}{Base}

tan 30 = \dfrac{d}{x+75}\\\text{Using equation (1)}:\\0.577 = \dfrac{d}{0.36d+75}\\\Rightarrow 0.207d + 43.27 = d\\\Rightarrow 0.793d = 43.27\\\Rightarrow d \approx 54.82\ ft

Correct answer is 54.82 ft.

7 0
4 years ago
Did I do this right? If so, are they congruent or not?
wolverine [178]

Answer:

yea

Step-by-step explanation:

7 0
3 years ago
The triangles below are similar. Find the length of the missing side (giving brainliest and thanks to all!)
andreev551 [17]

Answer:

x = 4

Step-by-step explanation:

I think this is correct

7 0
3 years ago
Read 2 more answers
The angled lines used to indicate the surfaces which are cut by the imaginary cutting-plane are called:
Scilla [17]

Answer:

Section lines

Step-by-step explanation:

Sectioning is the process of cutting a surface by an imaginary plane, the view of the surface that is cut is shown in the section view.

Section lines are used to indicate where an imaginary cutting plane cuts a material. The imaginary cut is then represented using section lines which are usually thin, crosshatched.

Section lines shows the surface that have been cut by the cutting plane. There are different ways of sectioning such as full section, half section, off set section and so on

8 0
3 years ago
If you pay $0.82 for every $1,000 of earthquake coverage, how much would $15,000 of coverage be?
Ann [662]
820
Explanation: it is .82x (1,000/15,000)
3 0
3 years ago
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