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4 years ago

Find the value of x (3x-9) (x + 7)

Mathematics

1 answer:

laila [671]4 years ago

3 0

Answer:

x=-3 and x=-7

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

4 years ago

Which statement is true about the two triangles?

mote1985 [20]

C is the correct answer

4 0

3 years ago

What is the y-intercept of the graph of the function f(x) = x^2 + 3x + 5?

Semenov [28]

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

7 0

3 years ago

Look at this graph:

oksian1 [2.3K]

Answer:

-2-10

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 4.338 as a fraction when the 338 is repeating i give brianliest

Inga [223]

If x = 4.338338338…, then

1000x = 4338.338338338…

and subtracting x from this eliminate the trailing decimal.

1000x - x = 4338.338338338… - 4.338338338…

999x = 4334

x = 4334/999

6 0

3 years ago