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2 years ago

Work out the length of AB. Give your answer to 3 significant figures. A=(-1,6) B=(5,3)

Mathematics

1 answer:

lisabon 2012 [21]2 years ago

4 0

Answer:

D = 6.71

Step-by-step explanation:

For Finding Length, we'll use the distance Formula:

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

=> D = $\sqrt{(5+1)^2+(3-6)^2}$

D = $\sqrt{6^2+(-3)^2}$

D = $\sqrt{36+9}$

D = $\sqrt{45}$

D = 6.71

The length of AB is 6.71

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b) The diameter of a circular coin is 1:14 cm. How many coins of the same size are required to place in a Straight row to cover

ArbitrLikvidat [17]

Answer:

It will take about 1675 whole 1.14 cm coins to make a straight row of 19.1 m distance

Step-by-step explanation:

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1 year ago

Read 2 more answers

30 PTS!!!!! Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day. Cole plans to eat multiple ba

ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3 bananas each day. These 3 bananas contain $3\cdot 0.3=0.9$ mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4 mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

$0.9+4x\ mg$

Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day, so

$11\le 0.9+4x\le 22$

Solve it:

$11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275$

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3 bananas each day. He pays $\$2\cdot 7=\$14$ for bananas per week.

If Cole spends a total of $20 on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10 vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2 additional vitamins he purchases) and they cost

$\$0.50(x-10)$

This amount of money is exactly $6, so

$0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22$

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on answer in Part A.

5 0

2 years ago

Read 2 more answers

Se distribuyen 400 bolsas en tres urnas sabiendo que la primera tiene 80 menos que la segunda y esta tiene 60 menos que la terce

laiz [17]

Answer:

Primeras urnas = 60 bolsas

Segundas urnas = 140 bolsas

Terceras urnas = 200 bolsas

Step-by-step explanation:

Deje que las urnas se representen de la siguiente manera

Primeras urnas = a

Segundas urnas = b

Terceras urnas = c

Se nos dice en la pregunta

400 bolsas se distribuyen en tres urnas

Por lo tanto,

a + b + c = 400 bolsas ......... Ecuación 1

Por la pregunta sabemos que

1) El primero tiene 80 menos que el segundo

a = b - 80

2) Y este segundo tiene 60 menos que el tercero

b = c - 60

Por tanto, c = b + 60

Por lo tanto, sustituimos b - 80 por ayb + 60 por c en la Ecuación 1

a + b + c = 400 bolsas ......... Ecuación 1

b - 80 + b + b + 60 = 400 bolsas

Recopilar términos similares

b + b + b - 80 + 60 = 400 bolsas

3b = 400 + 80 - 60

3b = 420

b = 420/3

b = 140 bolsas

Por lo tanto, el número de bolsas en la segunda urna = 140 bolsas

Dado que a = b - 80

a = 140 bolsas - 80

a = 60 bolsas

Por lo tanto, el número de bolsas en la primera urna = 60 bolsas

Dado que c = b + 60

b = 140 bolsas

c = 140 + 60

c = 200 bolsas.

El número de bolsas en las terceras urnas = 200 bolsas.

4 0

2 years ago

According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most

AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 186, \pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

His 95% confidence interval is (0.065, 0.155).

4 0

1 year ago

Ariel snowboarded down a mountain that has a vertical height of 1,200 feet. She traveled a distance of 2,400 feet from the top o

KIM [24]

For this case what you should do is use the following trigonometric relationship
senx = (1200) / (2400)
senx = 0.5
Clearing the angle we have
x = ASIN (0.5)
x = 30
Answer:
The angle of elevation from the base to the top of the mountain is 30 °

6 0

2 years ago