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3 years ago

What is this the relationship between the legs and the hypotenuse of a 45 - 45 - 90 triangle?

Mathematics

2 answers:

Studentka2010 [4]3 years ago

6 0

The length of the hypotenuse is (the length of each leg) times (the square root of 2).

Elena L [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The length of the hypotenuse and the legs of a 45 45 90 triangle are no different from any right triangle. It's simply:

a^2+b^2=c^2 where a and b are the legs and c is the hypotenuse.

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(x +y )(x -y), if x = -3, y=-5 PLS NO FILES OR I AM REPORTING YOU

luda_lava [24]

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

3 0

3 years ago

HELP PLEASSSE FOR 15 POINTS

blagie [28]

50x+40=y for doors galore

40x+60=y for g&h

I can't graph here sorry but hopefully you know how that works

9. 40x+60=50x+40

-40

40x+20=50x

-40x

10x=20

x=2

10. Doors galore because 1 hours equates to 90 while g&h is 100 and so 90>100 then Doors galore is cheaper

thank you & if this helped pls don't forget to give brainiest

6 0

2 years ago

Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.

Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

$cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)$

Plugging the values.

⇒ $cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)$

We know that the values :

$sin(45) =cos(45) = \frac{1}{\sqrt{2} }$

$sin(60)=\frac{\sqrt{3} }{2}$ and $cos(60)=\frac{1}{2}$

So,

⇒ $cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})$

⇒ $cos(45-60)=(\frac{1}{2\sqrt{2} } + \frac{\sqrt{3} }{2\sqrt{2} })$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )$

⇒ $cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }$ ...rationalizing

⇒ $cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}$

⇒ $cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}$ ...taking 2 as a common factor

⇒ $cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}$

To find the exact values we have to put the values of sq-rt .

As, $\sqrt{2}=1.41$ and $\sqrt{6} =2.44$

Then

⇒ $cos(45-60)=\frac{( 1.41+2.44)}{4}$

⇒ $cos(45-60)=\frac{( 3.85)}{4}$

⇒ $cos(45-60)=0.96$

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0

3 years ago

A police officer investigating a car accident finds a skid mark of 115 ft in length.

Minchanka [31]

Answer:

Speed of car = 49 mph (Approx.)

Step-by-step explanation:

Given:

Length of skid marked = 115 ft

Formula for skid mark = S = √21d

Where d = Length of skid marked

Find:

Speed of car

Computation:

Speed of car = √21d

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426

Speed of car = 49 mph (Approx.)

7 0

3 years ago

Compare:45/30 O 4.5/3

Soloha48 [4]

The answer is less than.

3 0

3 years ago