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svp [43]
3 years ago
7

Three men are trying to hold a ferocious lion still for the veterinarian. The lion, in the center,is wearing a collar with three

ropes attached to it and each man has hold of a rope. Charlie is pulling in the direction N60 W with a force of 350 pounds and Sam is pulling in the direction N45E with a force of 400 pounds. What is the direction and magnitude of the force needed on the third rope to counterbalance Sam and Charlie.(Draw a diagram 1st)
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0
The answer 
<span>the third rope to counterbalance Sam and Charlie is F
and vectF +vectF1 +vectF2 =vect0
let's consider axis
y'y  </span>vectF = -F
      vectF 1= F1cos60
      vectF 2= F2cos45
-F = -F1cos60-F2co45
so F= F1cos60+F2co45= 350x0.5+400x0.7=457.84 pounds
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mash [69]

Answer: 7.2ft not sure if ur rounding answers. If nearest whole number than 7ft.

Step-by-step explanation:

Use Pythagorean theorem.

4^2 + 6^2 = c^2

16 + 36 = 52 = c^2

C = 7.2ft

7 0
3 years ago
A blueprint for a room has a scale of 1 in. to 3 ft. On the blueprint, one wall measures 9 in. in length. If L represents the le
zaharov [31]

If the scale is 1 inch to 3 feet, and the wall is 9 inches, then our equation would be:

9 x 3 = L    9 x 3 = 27     So, L = 27!

6 0
3 years ago
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A patient's total surgery charges are $1,278. The patient must pay the annual deductible of $1,000, and the policy states a 80-2
musickatia [10]

Answer:

The patient owe $1255.6 .

Step-by-step explanation:

As given

A patient's total surgery charges are $1,278.

The patient must pay the annual deductible of $1,000.

The policy states a 80-20 coinsurance.  (i.e 20% of the surgery amount is given by the patient .)

20% is written in the decimal form .

= \frac{20}{100}

= 0.20

20% of patients surgery cost  =  0.20 ×  $1278

                                                 = $ 255.6

Patients owe = Deductible cost + 20% of patients surgery cost

                      = $1000 + $255.6

                      = $ 1255.6

Therefore the patient owe $1255.6 .

8 0
4 years ago
The can of tomatoes is three times as tall but one-third as wide as the can of tuna. What is true about the areas of their label
aivan3 [116]
Area of the label is calculated as diameter*PI*height
So if height of tomato can is 3 times the can of tuna: hTOM=3*hTUNA
Diameter of a tomato can is three times smaller so: dTOM=dTUNA÷3

so Area of a tomato can label= A=(dTUNA÷3)*PI*3*hTUNA
A=dTUNA*PI*hTUNA

and the area of a tuna can label=
A=dTUNA*PI*hTUNA

So, the label areas are the same.
5 0
3 years ago
What is the relationship between the volume of a cone<br> and the volume of a cylinder? Explain.
marysya [2.9K]

Hello There!

<u><em>The volume of a cylinder is pi * r^2 * h. It's a circle times the height. </em></u>

<u><em></em></u>

<u><em>The volume of a cone is (1/3) * pi * r^2 * h. So it is one third of the volume of a cylinder with the same dimensions. </em></u>

3 0
4 years ago
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