two cars leave an intersection at the same time, one travelling at 70km/h along one road and the other car travelling at 80km/h along the other road. After 2 hours they are 218 km apart. At what angle, to the nearest minute, do the roads meet at the intersection.

Answers

Answer 1

Answer: $v_1=70\ km/h\nv_2=80\ km/h\nt=2h\n\nv=(s)/(t)\to s=vt\n\ns_1=70\ km/h\cdot2h=140\ km\ns_2=80\ km/h\cdot2h=160\ km\n\nlook\ at\ the\ picture$

$218^2=140^2+160^2-2\cdot140\cdot160\cdot cos\alpha\n\n47524=19600+25600-44800cos\alpha\n\n47524=45200-44800cos\alpha\n\n44800cos\alpha=45200-47524\n\n44800cos\alpha=-2324\ \ \ \ /:44800\n\ncos\alpha\approx-0.051875\Rightarrow\alpha\approx92^o58'$

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What is the value of m2-2mn+n2 for m=-2 and n=4

Answers

Answer: The required value is 36.

Step-by-step explanation: We are to find the value of the following expression for m = -2 and n = 4 :

$m^2-2mn+n^2.$

Substituting the values m = -2 and n = 4 in the given expression, we get

$m^2-2mn+n^2\n\n=(-2)^2-2* (-2)* 4+4^2\n\n=4+16+16\n\n=36.$

Thus, the required value is 36.

m2 -2mn + n2 =4 - (-16) + 16 =20 + 16 = 36Have a nice days.......

what is the equation of the line that passes through the points (-2,1) and (1,10)? a) 3x-y=-7 b)3x-y=-5 c)3x-y=5 d)x 3y=-5

Answers

The answer is a.
Substitute (-2,1) and (1,10) into each answer. Only a is correct because you will get -7 from both points.

Can 39/121 be simplified and if so what is it??

Answers

Hi there!

Unfortunately, the beautiful fraction you've given us is simplified enough, and it cannot go any lower than what it is. So basically, you're left with $(39)/(121)$

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is?

Answers

I can only half answer this question, as it doesn't tell what form of distance is used

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g
d=15(1)
d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

Answer:The constant of proportionality is 15.

Given 2x - y = 6, solve for y

Answers

This is not possible, however it can only be an even number.

there can be many possibilities example if x = 4 and y = 2 .

The height of a meeting room that's measures 19 m by 12 m is 3 m. Glen plans to apply 2 coats of paint to the walls of the room. A 4 L can of paint covers about 30m What is the surface area of the walls to be painted? How many cans of paint will Glen need?

Answers

so this meeting room is 3 by 19 by 12

surface area/wall area=2(height times width)+2(height times depth)+2(width times depth)

lets say 3=height
depth=19
width=12

2(3 times 12)+2(3 times 19)+2(12 times19)=2(36)+2(57)+2(228)=72+114+456=642

2 coats of paint so surface area times 2
642 times 2=1284
assuming 30m means 30 square meters we divide 1284 by 30 and get
1284/30=42 and 4/5 or 42.8
then find how many cans by dividing by 4
42.8/4=10 and 1.4/2=10.7, but you cant buy 0.7 of a can so round up and get
11 cans of paint

he needs 11 cans of paint

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