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3 years ago

7 people went to the movies the number of sdults was one more than the number of children write and solve an equation

Mathematics

1 answer:

Kamila [148]3 years ago

7 0

Answer:

7=X+Y there are 4 adults and 3 children

Step-by-step explanation:

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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

The following graph is of an exponential function of the form y=a*bx.

FromTheMoon [43]

Answer:

WAIT no one has ever answered this?? what....

Step-by-step explanation:

5 0

3 years ago

Whats a branch of mathmatics that uses variables

Ainat [17]

A branch of mathematics that uses variables is algebra

4 0

3 years ago

In choosing this year 327 voted musical and 115 voted drama. How many more students voted musical than drama

Lapatulllka [165]

Answer:

212 more student voted musical than drama .

Step-by-step explanation:

As given

In choosing this year 327 voted musical and 115 voted drama.

More students voted musical than drama = Total students voted for musical - Students voted for drama .

Putting values in the above

More students voted musical than drama = 327- 115

= 212

Therefore 212 more student voted musical than drama .

5 0

3 years ago

How can i find the surface area of a rectangle

omeli [17]

Answer:

Legenth times width

Step-by-step explanation:

3 0

3 years ago

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