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3 years ago

One positive number is one-fifth of another number. The difference between the two numbers is 328, find

Mathematics

1 answer:

Trava [24]3 years ago

6 0

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = $\frac{1}{5}x$

Their difference = 328

$x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\$

x = 410

Positive number = $\frac{1}{5}*410=82$

The numbers are 410 , 82

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Type the correct answer in each box.

Mariulka [41]

Answer:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$r=\sqrt{(2+4)^{2}+(-3-5)^{2}}$

$r=\sqrt{(6)^{2}+(-8)^{2}}$

$r=\sqrt{100}\ units$

$r=10\ units$

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

we have

$(h,k)=(5,-4)\\r=10\ units$

substitute

$(x-5)^2+(y+4)^2=10^2$

$(x-5)^2+(y+4)^2=100$

6 0

3 years ago

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

xxMikexx [17]

i think its 92 yd

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2 years ago

Read 2 more answers

The circumcenter is the center of the. circle

erma4kov [3.2K]

The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.

The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.

4 0

2 years ago

Read 2 more answers

Consider an experiment with sample space S 5 50, 1, 2, 3, 4, 5, 6, 7, 8, 96 and the events A 5 {0, 2, 4, 6, 8} B 5 {1, 3, 5, 7,

Brut [27]

Answer with Step-by-step explanation:

S={0,1,2,3,4,5,6,7,8,9}

A={0,2,4,6,8}

B={1,3,5,7,9}

C={0,1,2,3,4}

D={5,6,7,8,9}

a.A'=S-A

A'={0,1,2,3,4,5,6,7,8,9}-{0,2,4,6,8}

A'={1,3,5,7,9}

b.C'=S-C

C'={0,1,2,3,4,5,6,7,8,9}-{0,1,2,3,4}

C'={5,6,7,8,9}

c.D'=S-D

D'={0,1,2,3,4,5,6,7,8,9}-{5,6,7,8,9}

D'={0,1,2,3,4}

d. $A\cup B=$ {0,2,4,6,8} $\cup$ {1,3,5,7,9}

$A\cup B=$ {0,1,2,3,4,5,6,7,8,9}=S

e. $A\cup C$ ={0,2,4,6,8} $\cup$ {0,1,2,3,4}

$A\cup C$ ={0,1,2,3,4,6,8}

f. $A\cup D$ ={0,2,4,6,8} $\cup$ {5,6,7,8,9}

$A\cup D$ ={0,2,4,5,6,7,8,9}

8 0

3 years ago

Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week

Natali [406]

Answer:

Step-by-step explanation:

6 0

2 years ago