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2 years ago

12

Ameer uses \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a bottle of shampoo to give each of his dogs a bath.

He has 555 dogs all together.

1 answer:

svet-max [94.6K]2 years ago

7 0

Answer:

138 3/8

Step-by-step explanation:

total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles

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Calculate the average rate of change for the given function, from x = 2 to x = 7.

damaskus [11]

The correct answer is D

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2 years ago

each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

so

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

6 0

2 years ago

An office has 30 computers. Seventeen of the 30 are Macintosh, and the remaining thirteen are windows. Two computers are randoml

Alex Ar [27]

Answer:

0.5085

Step-by-step explanation:

Given that an office has 30 computers. Seventeen of the 30 are Macintosh, and the remaining thirteen are windows.

When two computers are randomly selected without replacement

no of ways of selection = $60C2 = 1770$

No of ways of selecting one window and one Mac = $30C1(30C1) = 900$

Prob that the sample contains exactly one windows machine and exactly one Macintosh= $\frac{900}{1770} =0.5085$

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2 years ago

Please give me a hand

Westkost [7]

Answer:

2

Step-by-step explanation:

7x - 2x = 13 - 3

5x = 10

x = 2

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2 years ago

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Rove the sum of two rational numbers is rational where a, b, c, and d are integers and b and d cannot be zero.

liubo4ka [24]

Answer:

$\frac{ad+bc}{bd}$

Step-by-step explanation:

$Greetings!$

$I'm~Isabelle~Williams~and~I~will~be~answering~your~question!$

$Let,\frac{a}{b} ~and ~\frac{c}{d}~be~two~rational~numbers, ~where~ b ~and~ d ~are~ not~ zero ~and~ a, ~b, ~c ~and \\~d ~are~ integers.$

$1.~Given:$

$\frac{a}{b} +\frac{c}{d}$

$2.~Now,~we~multiply~to~get~a~common~denominator:$

$\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}$

$3.~Then~simplify:$

$\frac{a}{b}+\frac{c}{d}=\frac{ad}{bd}+\frac{cb}{db}=\frac{ad+bc}{bd}$

$4.~Since,b\neq 0,~d\neq 0,~then,~bd,~ad,~bc~and~ad+bc~are~integers~too.~So~the\\ fraction~will~be:$

$\frac{ad+bc}{bd}$

$Thus,~making~it~a~rational~number!$

$Hope~this~answer~helps!~and~have~an~amazing~day~ahead!$

$-Isabelle~Williams$

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2 years ago

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