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galben [10]
3 years ago
9

Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12,

10). There is a rest stop half way between A and B.
1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.
Mathematics
2 answers:
kati45 [8]3 years ago
7 0

Answer:

Question 1: b) Find the total distance from A to B

Distance formula:

d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2

d=Square root of (6-4)^2+(12-8)^2+(10-2)^2

d= 9.165 = 9.17 units

erastova [34]3 years ago
7 0

Answer:

1 a

Use the midpoint formula:

m=x1+x2/2, y1+y2/2, z1+z2/2

m= 4+6/2 ,8+12/2, 2+10/2

m= (5 ,10, 6)

Step-by-step explanation:

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Please help!! will give brainliest ASAP
soldier1979 [14.2K]

Answer:

c = 36.06

Step-by-step explanation:

a² + b² = c²

20² + 30² = c²

400 + 900 = c²

c² = 1300

\sqrt{c^2} =\sqrt{1300}

c = 36.06

8 0
3 years ago
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
Basile [38]

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

5 0
3 years ago
Read 2 more answers
The more frequently heroin is used, the greater the risk of permanent damage of addiction or dependence.
gulaghasi [49]
Answer...... True

Explanation:
heroin is a addictive substance and the more you take it the greater risk of developing short and long term effects
4 0
3 years ago
Read 2 more answers
A total of $10,000 is invested in two mutual funds. The first account yields 5% and the second account yields 6%. How much was i
Aleks [24]

Answer:

$2,500 was invested in the first account while $7,500 was invested in the second account

Step-by-step explanation:

Here in this question, we want to find the amount which was invested in each of the accounts, given their individual interest rates and the total amount that was accorded as interest from the two investments

Now, since we do not know the amount invested , we shall be representing them with variables.

Let the amount invested in the first account be $x and the amount invested in the second account be $y

Since the total amount invested is $10,000, this means that the summation of both gives $10,000

Mathematically;

x + y = 10,000 ••••••(i)

now for the $x, we have an interest rate of 5%

This mathematically translates to an interest value of 5/100 * x = 5x/100

For the $y, we have an interest rate of 6% and this mathematically translates to a value of 6/100 * y= 6y/100

The addition of both interests, gives 575

Thus mathematically;

5x/100 + 6y/100 = 575

Multiplying through by 100, we have

5x + 6y = 57500 •••••••••(ii)

From 1, we can have x = 10,000-y

let’s substitute this into equation ii

5(10,000-y) + 6y = 57500

50,000-5y + 6y = 57500

50,000 + y = 57500

y = 57500-50,000

y = 7,500

Recall;

x = 10,000-y

so we have;

x = 10,000-7500 = 2,500

3 0
3 years ago
Find the diameter of a circle with an
hjlf

Answer: 832

Step-by-step explanation:

trust i got correct

4 0
2 years ago
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