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3 years ago

Help please, i need this done asap thanks in advance

Mathematics

1 answer:

alina1380 [7]3 years ago

7 0

Answer:

<AOC

<AOB

<BOC

Step-by-step explanation:

The central angles are formed at point O, which is the center of the circle.

All the central angles are marked in the attachment.

The central angles are

: $m\angle AOC$ . This is a right angle and it is 180 degrees.

: $m\angle AOB$

: $m\angle BOC$

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1) At AJ Welding Company they employ 253 people, 108 employees receive 2 weeks of paid 1) _______ vacation each year. Find the r

Fantom [35]

Answer:

108 : 145

Step-by-step explanation:

253 - 108 = 145

Ratio of those who receive 2 weeks of paid vacation is 108

Ratio of those paid vacation is not 2 weeks is 145

108 : 145

5 0

3 years ago

Caleb's mother said they will drive 1 /4 hour to get there, and they will drive another 1 /4 hour back. Once they arrive, Caleb'

Nezavi [6.7K]

Answer: They are away for $2\dfrac{3}{4}\ hours$ from home.

Step-by-step explanation:

Since we have given that

Time to get there = $\dfrac{1}{4}$

Time to get back = $\dfrac{1}{4}$

Number of soccer games = 3

Time for each soccer games = $\dfrac{3}{4}$

So, total time for 3 games would be

$3\times \dfrac{3}{4}=\dfrac{9}{4}$

So, the time for which they will be away from home is given by

$\dfrac{1}{4}+\dfrac{9}{4}+\dfrac{1}4}=\dfrac{1+9+1}{4}=\dfrac{11}{4}=2\dfrac{3}{4}\ hours$

Hence, they are away for $2\dfrac{3}{4}\ hours$ from home.

3 0

4 years ago

Find the equation of ellipse passing throgh (1,4) and (-3,2)

irinina [24]

Answer:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

Step-by-step explanation:

we want to figure out the ellipse equation which passes through (1,4) and (-3,2)

the standard form of ellipse equation is given by:

$\displaystyle \frac{(x - h {)}^{2} }{ {a}^{2} } + \frac{(y - k {)}^{2} }{ {b}^{2} } = 1$

where:

(h,k) is the centre
a is the horizontal redius
b is the vertical radius

since the centre of the equation is not mentioned, we'd assume it (0,0) therefore our equation will be:

$\displaystyle \frac{ {x}^{2} }{ {a}^{2} } + \frac{{y}^{2} }{ {b}^{2} } = 1$

substituting the value of x and y from the point (1,4),we'd acquire:

$\displaystyle \frac{ 1}{ {a}^{2} } + \frac{16}{ {b}^{2} } = 1$

similarly using the point (-3,2), we'd obtain:

$\displaystyle \frac{ 9}{ {a}^{2} } + \frac{4 }{ {b}^{2} } = 1$

let 1/a² and 1/b² be q and p respectively and transform the equation:

$\displaystyle \begin{cases} q + 16p = 1 \\ 9q + 4p = 1 \end{cases}$

solving the system of linear equation will yield:

$\displaystyle \begin{cases} q = \dfrac{3}{35} \\ \\ p = \dfrac{2}{35} \end{cases}$

substitute back:

$\displaystyle \begin{cases} \dfrac{1}{ {a}^{2} } = \dfrac{3}{35} \\ \\ \dfrac{1}{ {b}^{2} } = \dfrac{2}{35} \end{cases}$

divide both equation by 1 which yields:

$\displaystyle \begin{cases} {a}^{2} = \dfrac{35}{ 3} \\ \\ {b}^{2} = \dfrac{35}{2} \end{cases}$

substitute the value of a² and b² in the ellipse equation , thus:

$\displaystyle \frac{ {x}^{2} }{ \dfrac{35}{3} } + \frac{{y}^{2} }{ \dfrac{35}{2} } = 1$

simplify complex fraction:

$\displaystyle \frac{ {3x}^{2} }{ 35 } + \frac{{2y}^{2} }{ 35 } = 1$

and we're done!

(refer the attachment as well)

8 0

3 years ago

Elijah drives 9 miles to his friends house in 1/6 hour. How fast does Elijah drive, in miles per hour? If he drives at this rate

katrin [286]

Answer:

He drives at 54 mph. He will get 108 miles if he drives at that rate for 2 hours.

Step-by-step explanation:

9 miles in 1/6 of an hour

9x6=driving speed of 54mph

54x2 is 108 miles

7 0

3 years ago

Find the equation in terms of x of the line through the points (-4,-6) and (1,9)

Annette [7]

Answer:

y = 3x + 6

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - (-6) / 1 - (-4)

15/5

= 3

y = 3x + b

9 = 3(1) + b

9 = 3 + b

6 = b

4 0

3 years ago