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ser-zykov [4K]
3 years ago
8

Jordan’s baked 4 apple pies.She wants to share them equally among 3 of her neighbors.What fractional part of the pies will each

neighbor get?
Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

Answer:

they will each get 1 and 1/3 pie

Step-by-step explanation:

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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
2 years ago
HELP PLEASE&lt;3 <br> Find the missing angle <br> Btw its trigonometry
ira [324]

Answer:

x = 16.6

Step-by-step explanation:

Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:

tan(\theta) = \frac{opposite}{adjacent} \\tan(31^o)=\frac{10}{x}\\x=\frac{10}{tan(31^o)} \\x \approx 16.64279

which rounded to one decimal is

x = 16.6

6 0
3 years ago
What is the ratio of purple cylinders to total cylinders, there are 7 purple and 1 yellow.
Dominik [7]

Answer:

7:8

Step-by-step explanation:

There are 7 purple cylinders. There are 8 total cylinders (7 purple and 1 yellow). So the ratio is 7:8

3 0
3 years ago
Rate of change for 71, 62,53,44
Vladimir79 [104]

Answer:-9

Step-by-step explanation:

71-62=9

62-53=9

53-44=9

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3 0
2 years ago
1. Define a variable and write each phrase as an algebraic expression.
katen-ka-za [31]

Answer:

6x=6c?

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Step-by-step explanation:

I'm sorry if i got this wrong

7 0
2 years ago
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