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katrin2010 [14]
3 years ago
11

Rectangle TUVW is dilated by a scale factor of 3

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

31

Step-by-step explanation:

93/3=31

So UV is equal to 31

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The angle of depression from the top of a building to a point
AleksandrR [38]

The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point  on the ground is 45 degrees.

Step-by-step explanation:

The given is,

                 The angle of depression from the top of a building to a point  on the ground is 45 degrees.

                 Height of the building is 280 meter.

Step: 1

                 Given diagram is a right angled diagram,

                 For right angle triangle,

                              90° = 45° + 45°    

                                     = 90°  

                 Trignometric ratio,

                            sin ∅ = \frac{Opp}{Hyp}....................(1)

                For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point  on the ground is 45 degrees.

                 Where, Opp side = 280 meters

                               Hyp side = x

                                           ∅ = 45°

                 Equation (1) becomes,

                                  sin 45° = \frac{280}{x}

                          0.70710678 =  \frac{280}{x}

                                            x =  \frac{280}{0.70710678}

                                            x = 395.979

               Distance between point on the ground from the top of the building,  x ≅ 396 meter                                                

                Trignometric ratio,

                                     cos ∅ = \frac{Adj}{Hyp}

                                   Cos 45 = \frac{Adj}{396}

                                         Adj = (0.70710678)(396)

              Bottom length, Adj = 280 meter

Result:

           The distance between point on the ground from the top of the building is 396 meter.

8 0
3 years ago
I am really bad at math. What is AC?
kotykmax [81]
The line from a to c
4 0
3 years ago
Read 2 more answers
12x + 3x = ___? Please explain
Paladinen [302]

Answer:15x

Step-by-step explanation:you add 12 + 3 which equals 15 and then you just carry the x over

6 0
3 years ago
Simplify the radical expression. Please explain how you got your answer.<br><br> √25/4
astra-53 [7]
√25/4=5/2 because 5/2 times 5/2 equal 25/4. Hope it help!
6 0
3 years ago
Mario start collecting stamps in January and buys 12 stamps each month.Karen starts collecting stamps in July and buys 18 starts
Goryan [66]

Answer:

12 months

Step-by-step explanation:

Given that:

Mario:

12 stamps per month

Since January

Karen :

18 stamps per month

Starts on july

Number of stamps collected by Mario till the end of June :

12 * 6 = 72 stamps

For Mario :

72 + 12x

For karen:

18x

Where x is the number of months after karen starts :

Equate both equations

72 + 12x = 18x

72 = 18x - 12x

72 = 6x

x = 72/6

x = 12

After 12 months

Number of months after karen starts, will they have same amount of stamp

7 0
3 years ago
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