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Andrews [41]
3 years ago
9

Suppose the force actice on a column that helps to support a building is normally

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

UHHHHHH

Step-by-step explanation:

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Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your wo
vazorg [7]

Answer:

Therefore,

x=y= 4\sqrt{2}=5.6568\ units

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠C = ∠A = 45°

AB = y

BC = x = adjacent side

AC = 8 = hypotenuse

To Find:

x = ?

y = ?

Solution:

In Right Angle Triangle ABC by Cosine Identity we have

\cos C = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

substituting the above given values we get

\cos 45 = \dfrac{BC}{AC}=\dfrac{x}{8}

\dfrac{1}{\sqrt{2} } =\dfrac{x}{8}\\\therefore x=\dfrac{8}{\sqrt{2} } \\Rationalizing\ we\ get\\\therefore x=\dfrac{8}{\sqrt{2}}\times \dfrac{\sqrt{2} }{\sqrt{2}}}\\\therefore x=4\sqrt{2}=4\times 1.4142=5.6568\ units

As The triangle is 45 - 45 - 90

It is an Isosceles Right triangle

x=y..... Isosceles Triangle property

\therefore y=4\sqrt{2}=4\times 1.4142=5.6568\ units

Therefore,

x=y= 4\sqrt{2}=5.6568\ units

8 0
3 years ago
Olivia ties 2.5 feet of ribbon onto one balloon. How many yards of ribbon does olivia need for 18 balloons
Lerok [7]
1yd=3ft\to1ft=\frac{1}{3}yd\\--------------------\\2.5ft\to1\ ballon\\\\therefore\\\\18\times2.5ft=45ft\to18\ ballons\\\\45ft=45\times\frac{1}{3}yd=\boxed{15yd}\leftarrow answer
4 0
3 years ago
Read 2 more answers
Solve system of equations:<br><br> -8x - 10y = 10<br> 3x + 2y = 12
Svetlanka [38]

Answer:

x=10

y = -9

Step-by-step explanation:

-8x - 10y = 10

3x + 2y = 12

Multiply the second equation by 5

5(3x + 2y) = 12*5

15x+10y = 60

Add this to the first equation to eliminate y

-8x - 10y = 10

15x+10y = 60

-----------------------

7x  + 0y  = 70

Divide by 7

7x/7 = 70/7

x = 10

Now find y

3x+2y = 12

3(10) +2y = 12

30 +2y =12

Subtract 30 from each side

2y = 12-30

2y = -18

Divide by 2

2y/2=-18/2

y = -9

5 0
2 years ago
1/4=?/12 subtracting unlike denominators fifth grade
vodomira [7]

Answer:

1 / 4 = 3/12

Step-by-step explanation:

Use LCM for the denominator

3 0
3 years ago
Read 2 more answers
The angles of a quadrilateral are in ratio 1:2:3:4.find the measure of each angles
Andrew [12]
The ratio is 1:2:3:4

1+2+3+4=10x

360/10

36*1
36*2
36*3
36*4

Are the angles
6 0
3 years ago
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