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Rus_ich [418]
3 years ago
9

Two cars leave an intersection at the same time. One heads due south at 55 mph. The other travels due west. After 2 hours, the b

earing of the car headed west from the car headed south is 324 . How far apart are they at that time?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer:

136 miles

Step-by-step explanation:

Distance is product of speed and time.

Given the car that moves South takes 2 hours then the speed is 55 mph

D=st

Where s is speed, t is time and D is distance covered. Substituting 2 hours for time and 55 mph for s then

Distance=2*55=110 miles

Using trigonometry

Cos 36°=110/x

X=110/cos 36°=135.967477524977 miles

Alternatively

X=110/sin 54°=135.967477524977

Rounded off, this is approximately 136 miles

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Is 45.03 greater then 40.44 or are they equivalent?
Leno4ka [110]

Answer:

greater

Step-by-step explanation: 45 and 40

8 0
4 years ago
Read 2 more answers
A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
Vinil7 [7]

Answer:

1537pounds

Step-by-step explanation:

Given parameters:

  Weight of baby at birth  = 7.25 pounds

   

Unknown:

Weight at the end of 8months = ?

Solution:

 From the second sentence;

    Weight at the end of the eighth month = 212 x weight at birth.

Input the parameters and solve;

  Weight at the end of eighth month = 212 x  7.25  = 1537pounds

7 0
4 years ago
Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers
enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0
4 years ago
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
mart [117]

Answer:

The area is 11317.51

Step-by-step explanation:

The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.

b+c<a

133+174 < 240

A triangle can be formed

To use Herons formula for the area

We find S = 1/2( a+b+c)

                 = 1/2(240+133+174)

                 =  1/2 (547)

                     = 273.5


Area = sqrt( S (S-a) (S-b)(S-c))

           sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))

           sqrt((273.5)(33.5) (140.5) (99.5))

            sqrt(128085964.4)

           11317.50699

The area is 11317.51

5 0
4 years ago
What is the equation for the line that passes through (3, 2) and has a slope<br> equal to 1/3
lana66690 [7]

Answer:

y=1/3x+1

Step-by-step explanation:

6 0
3 years ago
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