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hjlf
3 years ago
14

What is the formula for an eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 h

ours after passing each other on a highway. what is the speed, in miles per hour, of the eastbound car?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0
Draw a diagram to illustrate the problem as shown below.

Let v = speed of the westbound car, mph

Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.

After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph

The westbound car travels at 50 mph.
The eastbound car travels at v+4 = 54 mph

Answer: The eastbound car travels at 54 mph.

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ASE
eimsori [14]

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

<em>m<CBE + m<C + m<D + m<DEB = 360</em>

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

<em>m<CBE + m<C + m<D + m<DEB = 360</em>

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

<em />

3 0
3 years ago
Read 2 more answers
In the diagram, polygon ABCD is reflected across to make polygon A'B'C'D'. Which statement must be true?
UNO [17]
True polygon is the abcd polygon
6 0
3 years ago
Find angle measures of 4, 5, and 6
Cloud [144]

Answer:

ok

Step-by-step explanation:

ok so the sum mustbe 36

and as this is a parallelogram that means opposite angle are the same and so one of the is 125that means that the opposite is 125 too, the sum is 250

360-250=110 and as one of the side must sum up to the half of 110 which is 55 and substract (55-22=33)

4=33

so is 5 =33

6=22

3 0
2 years ago
Read 2 more answers
Help me out here pleaseeeeeee
Sveta_85 [38]

Answer:

(4, 80) Which is L

Step-by-step explanation:

First number should be on the X axis and the second on the Y axis.

6 0
3 years ago
Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below
mafiozo [28]

Answer:

a) \bar X = 369.62

b) Median=175

c) Mode =450

With a frequency of 4

d) MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5

<u>e)</u>s = 621.76

And we can find the limits without any outliers using two deviations from the mean and we got:

\bar X+2\sigma = 369.62 +2*621.76 = 1361

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

Replacing we got:

\bar X = 369.62

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

Median=175

Part c

The mode is the most repeated value in the sample and for this case is:

Mode =450

With a frequency of 4

Part d

The midrange for this case is defined as:

MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5

Part e

For this case we can calculate the deviation given by:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 621.76

And we can find the limits without any outliers using two deviations from the mean and we got:

\bar X+2\sigma = 369.62 +2*621.76 = 1361

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0
3 years ago
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