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2 years ago

Perpendicular lines are always, sometimes , never coplanar

Mathematics

2 answers:

daser333 [38]2 years ago

8 0

They are always on a coplanar

stiv31 [10]2 years ago

3 0

Answer:

Perpendicular lines are always coplanar.

Step-by-step explanation:

Coplanar lines are lines drawn on the same plane. So whenever you have

perpendicular lines (i.e lines at right angle to each other), they are always coplanar. This is because they are drawn on the same plane.

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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

3 years ago

Last question of the day........<br> Was Orange a Color or A fruit First?

Stolb23 [73]

Answer:

colour

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLZ LOOK AT THE IMAGE AND PLZ TELL ME THE ANSWER I WILL GIVE BRAINLESS

raketka [301]

Answer:

a) Unit price :

12 cupcakes for $29 = $2.42

50 cupcakes for $129 = $2.58

Reasoning:

12 cupcakes for $29 = $29 ÷ 12 cupcakes which gives 2.416666667 and if rounded off gives you $2.42.
50 cupcakes for $129 = $2.58 accurately.

b) 12 cupcakes for $29 gives the lowest unit price as $2.42 is less than $2.58.

<em>I hope this answer will help you !!!!</em>

7 0

2 years ago

What is the domain of f?

Sedbober [7]

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

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2 years ago

Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What

MArishka [77]

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

6 0

3 years ago