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3 years ago

Use this picture and help please

Mathematics

2 answers:

Svetlanka [38]3 years ago

6 0

65 degrees because then it adds to 180 degrees

Paladinen [302]3 years ago

3 0

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

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If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

<u>Given:</u>

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

<u>Therefore:</u>

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

5 0

3 years ago

PLEASE HELP ASAP! THANK YOU

Dafna1 [17]

Answer:

39 m.

Step-by-step explanation:

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2

b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

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3 years ago

Is the length of your classroom greater than or less than one kilometer?

Y_Kistochka [10]

That would depend on the size of your classroom. but, typically the answer is no

3 0

3 years ago

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Examine each number. What number can you add to this number to make a number that has a whole-number square root?

Fantom [35]

the answer is 470

Step-by-step explanation:Because 470+470 which equals 940 and the square root is 30

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3 years ago

How do you know when to add numbers? what is the sign rule

VARVARA [1.3K]

The most familiar case is that where you see a " + " sign between two numbers; that's an indication to add the two numbers (or terms) together.

Also, the instruction, "sum up the following," is a command to find the sum of all the numbers that follow.

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3 years ago