All categories

3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

Answer:

XAW = 3(23) = 69 degrees.

WAY = 23 + 88 = 111 degrees.

ZAY = 8(12) - 23 = 73 degrees.

XAZ = 6(12) + 35 = 107 degrees.

Step-by-step explanation:

You might be interested in

Suppose you have a score of 35 in a game. On your next turn, you get a 50-point penalty. What is your new score?

Vsevolod [243]

35-50. = -15. You are 15 points in the hole

4 0

3 years ago

Find the number of faces on this solid.

snow_lady [41]

Answer:

5 faces

Step-by-step explanation:

4 triangle faces + 1 square base face = 5 faces in total

7 0

3 years ago

Read 2 more answers

Find all possible values of α+

const2013 [10]

Answer:

$\rm\displaystyle 0,\pm\pi$

Step-by-step explanation:

please note that to find but α+β+γ in other words the sum of α,β and γ not α,β and γ individually so it's not an equation

===========================

we want to find all possible values of α+β+γ when tanα+tanβ+tanγ = tanαtanβtanγ to do so we can use algebra and trigonometric skills first

cancel tanγ from both sides which yields:

$\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \alpha ) \tan( \beta ) \tan( \gamma ) - \tan( \gamma )$

factor out tanγ:

$\rm\displaystyle \tan( \alpha ) + \tan( \beta ) = \tan( \gamma ) (\tan( \alpha ) \tan( \beta ) - 1)$

divide both sides by tanαtanβ-1 and that yields:

$\rm\displaystyle \tan( \gamma ) = \frac{ \tan( \alpha ) + \tan( \beta ) }{ \tan( \alpha ) \tan( \beta ) - 1}$

multiply both numerator and denominator by-1 which yields:

$\rm\displaystyle \tan( \gamma ) = - \bigg(\frac{ \tan( \alpha ) + \tan( \beta ) }{ 1 - \tan( \alpha ) \tan( \beta ) } \bigg)$

recall angle sum indentity of tan:

$\rm\displaystyle \tan( \gamma ) = - \tan( \alpha + \beta )$

let α+β be t and transform:

$\rm\displaystyle \tan( \gamma ) = - \tan( t)$

remember that tan(t)=tan(t±kπ) so

$\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm k\pi )$

therefore when k is 1 we obtain:

$\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta\pm \pi )$

remember Opposite Angle identity of tan function i.e -tan(x)=tan(-x) thus

$\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm \pi )$

recall that if we have common trigonometric function in both sides then the angle must equal which yields:

$\rm\displaystyle \gamma = - \alpha - \beta \pm \pi$

isolate -α-β to left hand side and change its sign:

$\rm\displaystyle \alpha + \beta + \gamma = \boxed{ \pm \pi }$

when is 0:

$\rm\displaystyle \tan( \gamma ) = -\tan( \alpha +\beta \pm 0 )$

likewise by Opposite Angle Identity we obtain:

$\rm\displaystyle \tan( \gamma ) = \tan( -\alpha -\beta\pm 0 )$

recall that if we have common trigonometric function in both sides then the angle must equal therefore:

$\rm\displaystyle \gamma = - \alpha - \beta \pm 0$

isolate -α-β to left hand side and change its sign:

$\rm\displaystyle \alpha + \beta + \gamma = \boxed{ 0 }$

and we're done!

8 0

3 years ago

Read 2 more answers

(2x - 1) ft (x + 4) ft 7 ft

anygoal [31]

What is the question?

7 0

3 years ago

How many tons are equal to 36,000 pounds?

patriot [66]

Hello There! I'll be glad to help you! :0

Question:

How many tons are equal to 36,000 pounds?

Answer:

Step-by-step explanation:

To convert a pound measurement to a ton measurement, divide the weight by the conversion ratio.

Since one ton is equal to 2,000 pounds, you can use this simple formula to convert:

tons = pounds ÷ 2,000

The weight in tons is equal to the pounds divided by 2,000.

And you could multiply 2,000 by 18 and get the answer 36,000

Hope This Helps you!

Have an Amazing day!

<h2>If you have any questions please ask! :]</h2>

8 0

2 years ago

Read 2 more answers