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oksano4ka [1.4K]
3 years ago
10

I have to find y and I’m lost

Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

240.3

Step-by-step explanation:

The 31° angle shown at the top of the figure is congruent to the alternae interior angle inside the triangle at the lower right. "Alternate interior" is language associated with the angles related to a transversal crossing parallel lines.

Here, the parallel lines are the horizontal line from which 31° is measured and the horizontal line marked 400 ft. It may not be obvious at first, but the arrow markings on those lines signify that they are parallel. The transversal in this case is the diagonal line marked with an x.

So, the length y is opposite the angle you know is 31°, and the length 400 ft is adjacent to it. The mnemonic SOH CAH TOA reminds you that the relation between these is ...

Tan = Opposite/Adjacent

Filling in the values you know, you have ...

tan(31°) = y/(400 ft)

Multiplying by 400 ft give ...

y = (400 ft)·tan(31°) ≈ 240.3 ft

___

When you compute this on your calculator, be sure it is in "degrees" mode.

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Can anyone please help me out with this?
nika2105 [10]
It works well to write the given angles on the diagram, then make use of the relationships for right angles and triangles.

8 0
3 years ago
4. Find the slope of the line that passes through the points:<br> (-6,-1) and (4,1)
finlep [7]

Answer:

Slope: 1/5

Step-by-step explanation:

To find the slope of a line when given two points, you find the change in y over the change in x.

1 - (-1) = 2 (change in y)

4 - (-6) = 10 (change in x)

2/10 simplified is 1/5.

Hope this helps :)

7 0
3 years ago
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bija089 [108]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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1 unit by 2 units by<br> units
Julli [10]

Answer:

2

Step-by-step explanation:

1 unit by 2 unit means area.

So, know that in area you multiply length times width, you multiply 2 and 1.

1·2

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8 0
3 years ago
The radius of a sphere is increasing at a rate of 0.5 centimeters per minute. At a certain instant, the radius is 17 centimeters
Usimov [2.4K]

Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a <u>sphere of radius r</u> is given by:

V = \frac{4\pi r^3}{3}

Applying <u>implicit differentiation</u>, the rate of change is of:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that \frac{dr}{dt} = 0.5, r = 17, thus:

\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

A similar problem is given at brainly.com/question/11496075

3 0
3 years ago
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