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Alisiya [41]
3 years ago
9

Find the Percent Change from 75 Yards to 54 Yards

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

75

Step-by-step explanation:

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Answer both with STEPS
Amanda [17]

Answer:

7 )

x =  \frac{3\sqrt{2} }{2}

y= 3

8 )

x=6\sqrt{6}

y= 9\sqrt{2}

Step-by-step explanation:

7  )                                 8)

In Δ ABC                                      In Δ XYZ            

∠ C = 45°                                          ∠ X = 60°

∠ A = 90°                                           ∠ Y = 90°

AC= \frac{3\sqrt{2} }{2}             XY= 3\sqrt{6}

To Find :

x = ?

y = ?

Solution:

We Know

In Δ ABC

∠ C = 45°

∠ A = 90°

∴ ∠ B = 45°  ......Angle sum property of a triangle i.e 180°

∴  Δ ABC is an Isosceles Triangle

∴ AC = AB = x =  \frac{3\sqrt{2} }{2}

Now appplying Trignometry identity we get

\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\sin 45 = \frac{AC}{BC}\\\\\frac{1}{\sqrt{2} } =\frac{\frac{3\sqrt{2} }{2}}{y}\\\\y=\frac{3\times \sqrt{2}\times \sqrt{2}  }{2}\\\\y= 3

Now In Δ XYZ

∠ X = 60°

∠ Y = 90°

∴∠ Z = 30°  . .....Angle sum property of a triangle i.e 180°

Now appplying Trignometry identity we get

\tan X = \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}

\tan 60 = \frac{YZ}{XY}\\\\\sqrt{3} =\frac{y}{3\sqrt{6} }\\  y= 3\sqrt{3} \sqrt{6} \\y= 9\sqrt{2}

Now,

\sin X = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\\\sin 60 = \frac{YZ}{XZ}\\ \\\frac{\sqrt{3} }{2} =\frac{9\sqrt{2} }{x} \\\\x=\frac{18\sqrt{2} }{\sqrt{3} } \\\textrm{after fationalizing the denominator root 3 we get}\\\\x=6\sqrt{6}

8 0
3 years ago
Fill in the table so it represents a linear function.
olga2289 [7]

Answer:

(From left to right) 2  5  8

Step-by-step explanation:

1. Find the gap (between the first and last terms) 11 - (-1) = 12

2. Divide by the number of times the linear term is added: 12/4=3

3. Use the common difference to find the missing values.

6 0
3 years ago
Which pair of angles must be supplementary?
Alenkasestr [34]
The answer is: <4 and <5

7 0
3 years ago
Read 2 more answers
Which angles are congruent to each other
katrin2010 [14]

Answer:

Step-by-step explanation:

um

4 0
2 years ago
Im broke have this but like whats 24X58-9=<br><br><br><br> 800x24=?
Mekhanik [1.2K]

Answer:

24X58-9=1,383

800x24=19,200

Step-by-step explanation:

24x58=(24x8)+(24x50)

24x8=160+32=192

24x50=200+1,000=1,200

192+1,200=1,392-9=1,383

800x24=3,200+16,000=19,200

4 0
2 years ago
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