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7nadin3 [17]
3 years ago
15

Can you help me with this question please THANK YOU IF YOU HELP ME

Mathematics
1 answer:
Tresset [83]3 years ago
3 0
Assume ∠a and ∠b are acute
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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,
kati45 [8]

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

7 0
3 years ago
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Samantha wants to redecorate her room. She would like to replace the carpet and needs
CaHeK987 [17]
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6 0
3 years ago
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Can someone tell me if im right? PLEASE DONT JUST SAY YES if you don’t know
tia_tia [17]

Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

3 0
3 years ago
John deposited $500 in a savings account at an annual interest rate of 5%. If John does not deposit or withdraw any money, what
Cloud [144]

Answer:

The answer is 250 in interest.

Step-by-step explanation:

I=prt, I=(500)(0.05)(10)

5 0
3 years ago
47.9 less than k is -21.6
Law Incorporation [45]
K is equal to -69.5 K=69.5 You put it in an equation 47.9-K=-21.6Then you subtract 47.9 from both sides and you get K=69.5 
3 0
3 years ago
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