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alexdok [17]
3 years ago
13

Fill in the missing numbers: 8, 18, 11, 15, 5, 4, 14, 9, 19, 1, 7, 17, 6, 16, etc.

Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

20 2 3 6 10 998778889899999

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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
PLEASE HELP ASAP!!! It is urgent please.
Lubov Fominskaja [6]

Answer:

Diagonal \ of \ cuboid =\sqrt{ l^2 + b^2 +h^2} = \sqrt{121+25+49} = \sqrt{195}

option D

4 0
2 years ago
Plz help fast!!
Leto [7]

Answer:

D. 16 km

Step-by-step explanation:

Hope this helps!

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41.3+0.7 adding and subtracting decimals
viktelen [127]
The answer would be 42
Because the 0.3 (from the number 41.3) and 0.7 make 1 so basically it would be 41+1=42
(Sorry if wrong! Mark brainiest if right!)
8 0
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What’s the area of a circle that’s 11 meters
Ivenika [448]

Answer: 380.13271108436 meters2

Step-by-step explanation: This would be the answer if it was radius

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3 years ago
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