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2 years ago

What's the distance between (0,2) and (0,8)?

Mathematics

1 answer:

N76 [4]2 years ago

7 0

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

$\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}$

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

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Noah bought 4 tacos and paid $6. At this rate, how many tacos could he buy for $15? Jada's family bought 50 tacos for a party an

lesya [120]

Answer:

-Noah could buy 10 tacos for $15.

-Jada's tacos were not the same price as Noah's tacos.

Step-by-step explanation:

You can use a rule of three to find the amount of tacos that Noah could buy with $15:

$6 → 4

$15 → x

x=(15*4)/6=10

At this rate, Noah could buy 10 tacos for $15.

Now, to find out if Jada's tacos were the same price as Noah's tacos, you have to find the price per taco in each case by dividing the amount paid by the number of tacos bought:

Noah: 15/10=1.5

Jada: 72/50=1.44

According to this, Jada's tacos were not the same price as Noah's tacos.

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3 years ago

A roped-off area of width x is created around a 30- by 10-foot rectangular museum display of Native American artifacts. The comb

Monica [59]

Answer: $4x^{2}+80x-500=0$

Step-by-step explanation:

1. You know that:

- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.

- The dimensions of the rectangular museum are: 30 ft by 10 ft.

- The combined area of the display and the roped-off area is 800 ft².

2. The area of the rectangular museum can be calculated with:

$A=l*w$

Where $l$ is the lenght and $w$ is the width.

You have that the lenght and the width in feet are:

$l=30\\w=10$

3. Let's call $x$ the width of the roped-off area. Then, the combined area is:

$A_c=l_c*w_c$

Where

$A_c=800$

$l_c=l+x+x=30+2x$

$w_c=w+x+x=10+2x$

4. Substitute values and simplify. Then:

$800=(30+2x)(10+2x)$

$800=300+60x+20x+4x^{2}\\4x^{2}+80x-500=0$

5 0

3 years ago

If f(x)= -2 , what is x?

kkurt [141]

NANI?!?! WHERES g(x)

7 0

3 years ago

find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker

kumpel [21]

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = $^{52}C_8$

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = $^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1$ [since 1 suit has 13 cards]

The required probability = $=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}$

$=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757$

Hence, the required probability is 0.003757 (approx).

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3 years ago

for the first 18 days of the month, buffet dinner generate $11,800 in sales. The buffet sale target for the month is $18,650. Gi

sesenic [268]

Your Daily Sale Goal should be $611.61 to achieve the $18.65k monthly goal

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3 years ago