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2 years ago

Their are 10 people in a race, how many ways can they be arranged in 1st, 2nd and 3rd place?

Mathematics

1 answer:

-Dominant- [34]2 years ago

6 0

Answer:3/8

Step-by-step explanation:

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Somebody please help me

monitta

Answer: (x-3)/(4)=(x)/(10)

X=5

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2 years ago

A single ice skating pass costs $2.75. A monthly pass costs $24.00. Peter estimates he will go skating 8 times this month and Ju

trasher [3.6K]

Answer:

Yes they should.

Step-by-step explanation:

If they both buy it peter will only be spending 2 dollars more but justin will be spending $9 less

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2 years ago

What is time in the equation

kotegsom [21]

Where is the equation

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3 years ago

Can someone help me out with this?

dybincka [34]

1/8 + 1/4

the least common multiple of 8 and 4 is 8. Convert 1/8 and 1/4 to fractions with denominator 8.

1/8 + 2/8

Because 1/8 and 2/8 have the same denominator, add them by adding their numerators.

1+2/8

add 1 and 2 to get 3

3/8 or 0.375

4 0

2 years ago

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