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Doss [256]
2 years ago
13

two bicycle riders start from the same point and ride in opposite directions. one rider is moving twice as the other. in 3 hours

, they are 72 miles apart. find the rate of each rider.​
Mathematics
1 answer:
Likurg_2 [28]2 years ago
5 0

Step-by-step explanation:

let X = speed of slow bicycle rider

2x=speed of fast bicycle rider

3(x+2x)=72

X=8mph(slowest bicycle rider)

2x=16mph(fastest bicycle rider)

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solmaris [256]
Do you have a picture
8 0
1 year ago
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What is the measure of the third angle?
SCORPION-xisa [38]
The total amount of degrees in a triangle is 180. All three angles should add up to 180˚

We know that 40+60 = 100

The next step is to do 180-100 to get the other angle.
180-100 = 80

So the measure of the third angle is 80˚

Hope this helps!

(Also if you want to do this in one equation, you would do 40+60+x = 180
40+60+x = 180
100+x = 180 (combine like terms)
x = 80 (Subtract 100 from both sides)
7 0
3 years ago
Please help. Find the value of x in the triangle shown below.<br> 5<br> 8
Levart [38]

Answer:

x=+-\sqrt{89}

Step-by-step explanation:

x^{2}=8^{2} + 5^{2}

x^{2}=64+25

x^{2}=89  

x=+-\sqrt{89}

4 0
3 years ago
Simplify the following: 6i^3 +4j^2 -6i<br> Please show work
Vadim26 [7]

Answer:

Concept: Vectors

  1. I think the confusion here might be the usage of i and j
  2. Just to let you know, i=x and j=y
  3. So let's use that fact to conceptualize this
  4. 6x^3+4y^2-6x
  5. We can simplify by applying a common factor
  6. 2(x^3+2y^2-3x)
  7. Thats the most we can simplify this
6 0
2 years ago
Real estate ads suggest that 56 % of homes for sale have​ garages, 27 % have swimming​ pools, and 16 % have both features. ​a) W
Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},  

A = {homes with pool and garage}  = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A  

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

5 0
3 years ago
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