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3 years ago

Clearly mark on the coordinate plane the location of the ordered pairs and

Mathematics

1 answer:

ladessa [460]3 years ago

3 0

Answer:

Point $J(4,0)$ lies on $x-$ axis and point $M(-2,-3)$ lies quadrant III.

Step-by-step explanation:

A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.

Here, coordinate axes are $x-$ axis and $y-$ axis.

Let's first mark the points in the coordinate plane.

See the attached figure.

From the figure, it can be observed that point $J(4,0)$ lies on $x-$ axis and point $M(-2,-3)$ lies quadrant III.

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If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour

snow_tiger [21]

Rachel and her sister Fran together can paint the living room in $\frac{10}{7}$ hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint $\frac{1}{5}$ th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint $\frac{1}{x}$ th part of the living room in 1 hour

By proportions,

⇒ $\frac{1}{2}$ + $\frac{1}{5}$ = $\frac{1}{x}$ {using operation proportions and addition}

⇒ $\frac{7}{10}$ = $\frac{1}{x}$

⇒x= $\frac{10}{7}$

⇒ together they can paint $\frac{7}{10}$ th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in $\frac{10}{7}$ hours

Learn more about paint here:

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6 0

2 years ago

The diameter of a sphere is 12 inches.what is the volume of the sphere to the nearest cubic inch ?

miss Akunina [59]

Answer:

The volume of the sphere is 288π or 904.778 cubic inches.

Step-by-step explanation:

$given \\ diameter \: of \: sphere \: = 12 \: inches \\ radius \: of \: sphere \: = \frac{diameter}{2} \\ radius \: = \frac{12}{2} = 6 \: inches \\ volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{3} \\ here \: r \: = \: 6 \: in \\ volume \: of \: sphere = \frac{4}{3} \pi \: {6}^{3} \\ \\ volume \: of \: sphere = \frac{4}{3} \pi \times 216 \\ \: \: = 4\pi \times 72 \\ \: \: = 288\pi \\ \: \: = 904.778 \: cubic \: inches$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

4 0

3 years ago

Find the circumference in inches

Alborosie

Answer:

Step-by-step explanation:

2×radius with pi, 28*pi=28 pi or 87.92

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3 years ago

Read 2 more answers

Given the information below, QRS is UVT similar to ? If so, give the scale factor.

viktelen [127]

$Look\ at\ the\ picture.\\\\\Delta QRS\sim\Delta UVT\ if\ \frac{|QR|}{|UV|}=\frac{|RS|}{|VT|}\\\\\frac{|QR|}{|UV|}=\frac{8}{18}=\frac{4}{9}\\\\\frac{|RS|}{|VT|}=\frac{16}{34}=\frac{8}{17}\\\\Answer:A.\ No,\ the\ triangles\ are\ not\ similar.$

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3 years ago

F(x)=9x^2 g(x)= sqrt 12-x/3 (f o g)(-4)

Slav-nsk [51]

$f(x)=9x^2 \\ g(x)=\frac{\sqrt{12-x}}{3} \\$ So,first step is to write $(fog)(-4)) =f[g(-4)] \\$

Now we start from inner paranthesis ,we need to first find value of $g(-4) =\frac{\sqrt{12-(-4)}}{3}\\ =\frac{\sqrt{12+4}}{3}\\
=\frac{\sqrt{16}}{3}\\
=\frac{4}{3}\\
(fog)(-4)) =f[g(-4)] =f(\frac{4}{3}) =9(4/3)^{2} =9*(16/9) =144/9 =16$

8 0

3 years ago