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3 years ago

How to find the unknown length of right triangle

Mathematics

1 answer:

agasfer [191]3 years ago

7 0

If it is a right triangle than one angle is 90 degrees, so the other two angles(plus the 90 degrees)must add up to 180 degrees.
Hope this helps! :3

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Prove each of these identities.

Virty [35]

<h3>Answer:</h3>

➲ ( 1 + sec x )( cosec x - cot x ) = tan x

Solving for L.H.S

$\implies\quad \sf{(1+sec\:x)(cosec\:x-cot\:x) }$

$\implies\quad \sf{ \left(1+\dfrac{1}{cos\:x}\right)\left(\dfrac{1}{sin\:x}-\dfrac{cos\:x}{sin\:x}\right)}$

$\implies\quad \sf{ \left(\dfrac{1+cos\:x}{cos\:x}\right)\left(\dfrac{1-cos\:x}{sin\:x}\right)}$

$\implies\quad \sf{ \left(\dfrac{1-cos^2 x}{cos\:x.sin\:x}\right)}$

$\implies\quad \sf{ \left( \dfrac{sin^2 x}{cos\:x.sin\:x}\right)}$

$\implies\quad \sf{ \left( \dfrac{sin\:x.\cancel{sin\:x}}{cos\:x.\cancel{sin\:x}}\right)}$

$\implies\quad \sf{\left( \dfrac{sin\:x}{cos\:x}\right) }$

$\implies\quad\underline{\underline{\pmb{ \sf{tan\:x}}} }$

➲ ( 1+ sec x )( 1- cos x ) = sin x. tan x

Solving for L.H.S

$\implies\quad \sf{ ( 1+ sec\:x)(1-cos\:x)}$

$\implies\quad \sf{\left(1+\dfrac{1}{cos\:x} \right) \left( 1-cos\:x\right)}$

$\implies\quad \sf{ \left(\dfrac{cos\:x+1}{cos\:x} \right)(1-cos \:x)}$

$\implies\quad \sf{\dfrac{1-cos^2 x}{cos\:x} }$

$\implies\quad \sf{\dfrac{sin^2x}{cos\:x} }$

$\implies\quad \sf{sin\:x.\left( \dfrac{sin\:}{cos\:x}\right) }$

$\implies\quad\underline{\underline{\pmb{ \sf{sin\:x.tan\:x}}} }$

7 0

3 years ago

I need so.e help with this

Flauer [41]

Answer:

(3,7) is not a solution

Step-by-step explanation:

You fill in the values x=3 and y=7 in both equations and see if you end up with something that is true.

-5·3 - 2·7 = 23 is not true, because it simplifies to -29 = 23

no need to look further, but if you would, the second equation is also false:

3 + 4·7 = -19 is also not true.

The real solution by the way is (-3, -4).

3 0

3 years ago

If point P is 3/7 the distance from A to B, then it is ____ the distance from B to A.

IrinaVladis [17]

The answer is 4/7, because if A to P is 3/7 of the way, going to B would be to the end. So, you have to go 4/7 of the way to get to the end.

5 0

4 years ago

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A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car do

alukav5142 [94]

Answer:

0 sec. I help him get the tourist too :)

Step-by-step explanation:

jk, but her cub takes 13 and the mama 4

6 0

3 years ago

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Select all the equivalent to a^2/a^9 assume a doesnt equal 0

Alenkinab [10]

a ^ 2 / a ^ 9
For this case what you should do is use the power properties to write the expression in different ways.
Three different ways to write the expression are:
Way 1:
a ^ 2 / a ^ 9 = a ^ (2-9) = a ^ (- 7) = 1 / a ^ 7
1 / a ^ 7
Way 2:
a ^ 2 / a ^ 9 = a ^ (2-9) = a ^ (- 7)
a ^ (- 7)
Way 3:
a ^ 2 / a ^ 9 = a ^ 2 * a ^ (- 9)
a ^ 2 * a ^ (- 9)
Answer:
all the equivalent to a ^ 2 / a ^ 9 are:
1 / a ^ 7
a ^ (- 7)
a ^ 2 * a ^ (- 9)

6 0

3 years ago

Read 2 more answers