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adell [148]
3 years ago
12

A train travels from Chicago,Illinois to Los Angeles, ca in 1 day and 15 minuets. The distance between the two cities is 2,015.3

miles. How fast was the train going on average
Mathematics
1 answer:
OLga [1]3 years ago
6 0
So speed = distance / time
15 minutes is 0.25 of an hour
24 hours in a day

2015.3/24.25

83.1051546 mph
or 83 mph



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57°
noname [10]

Answer:

c = 29

Step-by-step explanation:

Law of sines is given as: \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

\frac{b}{sin(B)} = \frac{c}{sin(C)}

Substitute

\frac{41}{sin(79)} = \frac{c}{sin(44)}

Multiply both sides by sin 44

\frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44)

\frac{41*sin(44)}{sin(79)}*sin(44) = c

c = 29.0140633 ≈ 29

3 0
3 years ago
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
2 years ago
How can I tell when figures are similar?
Anestetic [448]
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
4 0
3 years ago
Read 2 more answers
What is the volume of a rectangular pool that is 20.00 meters long, 12.00 meters deep, and 13.00 feet wide (1 meter
almond37 [142]

Answer:

240 m³

Step-by-step explanation:

volume = length × width × depth

240 m³ = 20 m × 1 m × 12 m

3 0
2 years ago
Many companies "grade on a bell curve" to compare the performance of their managers and professional workers. This forces the us
GarryVolchara [31]

Answer:

option A

Step-by-step explanation:

given,

10% A grades     80% B grades      10% C grades

This year, managers with scores less than 35 received C's and those with scores above 425 received A's.

The mean has to be middle of two corresponding cutoff value

              \mu = \dfrac{35+425}{2}

                      μ = 230

Cutoff Off C grade corresponds with the area of 0.10 is table A.

corresponding z- score according to Table A

           Z = -1.28

now, standard deviation

    z = \dfrac{x-\mu}{\sigma}

    \sigma= \dfrac{x-\mu}{z}

    \sigma= \dfrac{35-230}{-1.28}

       σ = 152.3

Correct answer is option A

4 0
3 years ago
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