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natita [175]
3 years ago
11

If tan A = 4/5; what does CSC A =? Round to nearest tenth.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Answer:

1.6

Step-by-step explanation:

\tan \: A =  \frac{4}{5}  \\  \\  \cot \: A =   \frac{1}{ \tan \: A }  =  \frac{1}{ \frac{4}{5} }  =  \frac{5}{4}  \\  \\ csc\: A = \sqrt{1  +   {cot}^{2}\: A}     \\  =  \sqrt{1 +   { \bigg( \frac{5}{4}  \bigg)}^{2}  } \\  = \sqrt{1 +  \frac{25}{16} }   \\  = \sqrt{\frac{16 + 25}{16} }   \\  =   \sqrt{\frac{41}{16}}  \\  =  \frac{ \sqrt{41} }{4}  \\  =  \frac{6.40312424}{4}  \\  = 1.60078106 \\  \therefore \: csc \: A =1.6

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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
Solve -2/3 n< 16 What is the following must be true about the causes and the results Grove select the
pantera1 [17]

Answer:

-24

Step-by-step explanation:

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5 0
3 years ago
Geometry Question: BK bisects angle ABC and M angle ABK=28.3 degrees. Find M angle KBC and M angle ABC.
Nookie1986 [14]

Answer:

ABK = 28.3

Step-by-step explanation:

Given

ABK = 28.3

Required

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Since BK is a bisector of ABC at B,

this implies that:

ABK = KBC

Substitute 28.3 for ABK

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7 0
3 years ago
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I don't get this can somebody help me
Alex17521 [72]
2x° + 1 + x° - 6 + 59°= 360°

3x° + 54° = 360°

3x = 306°

x = 102°

2(102°) + 1°= 204° + 1° = 205°

102° - 6°= 96°

205° + 96° + 59°= 360°
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3 years ago
Charlene wants to build a fence around her rectangular garden. The garden measures 20 meters by 60 meters. 
myrzilka [38]
The perimeter because the fence goes AROUND the yard, not in it.

P = 2w + 2l

P = 2(60) + 2(20)

P = 120 + 40

P = 160

Charlene needs 160 meters of fencing material.
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3 years ago
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