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balandron [24]
3 years ago
10

Two ropes are attached to the bumper of a car. Rope A is pulled with a force of 60 pounds at an angle of 30° to the horizontal g

round, and rope B is pulled with a force of 80 pounds at an angle of 15° to the horizontal ground. The same effect can be produced by a single rope pulling with what force and at what angle to the ground?
Mathematics
1 answer:
lbvjy [14]3 years ago
8 0
<span>The forces caused by these two ropes could be equally produced by a single rope pulling at 138.82 pounds at an angle of 21.42 degrees to the horizontal ground. This can be found by considering each rope as the hypotenuse of a triangle. One leg of these triangles is the ground, and the other is perpendicular to the ground. Using Sine and Cosine you can find the components of the force in the horizontal and vertical directions. These are then added to find the resultant force components. The pythagorean theorem can then be used to find the net force of 138.82 pounds, and inverse tangent can be used to find the resultant angle of 21.42 degrees. *These calculations were done to two significant digits. If more precision is desired you can repeat these calculations to the desired number of significant digits.</span>
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Given the points (3, 0) and (-1, -3), which of the statements below is true?
nalin [4]
Answer:
We know the x-intercept only

Explanation:
To answer this equation, we need to go through the options individually and use both points to determine if they are true or false.

• Option 1 - False
According to the the first point given, we know the x-intercept is (3, 0).

• Option 2 - True
We only know the x-intercept. It is (3, 0) which is the first point given. We do not know the y-intercept.

• Option 3 - False
We do not know the y-intercept. We only know the x-intercept. In order to know the y-intercept the second point given must include a zero as the x point. The second point give does not include a zero. It is (-1, -3).

• Option 4 - False
We do not know the y-intercept
8 0
4 years ago
... tbh idek anymore
stepan [7]
1/4 is the correct answer
4 0
3 years ago
Read 2 more answers
Can someone please explain to me how to do numbers 2 and 3??
LenaWriter [7]
The answer to question 3 is 1 person orders chicken and the other 5 had steak dinner.

the way you work this out is you half 6 which is three and then do 3x14 and 3x17
3x14=42
3x17=51
42+51=93
this is too less so you have to do less of the cheaper meal (14) and more of the dearer one (17) so I went to 1x14 and 5x17
1x14=14
5x17=85
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add these together and it makes 99

the answer to question 14 is 5 adults and 3 students

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6 0
3 years ago
Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

f(x)=Le^{-Lx}

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

f(x)=e^{-x}

For a)

P(T>2)

P(T>2)=1-P(T\leq 2)

P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx

P(T>2)=1-(-e^{-2}+1)

P(T>2)=e^{-2}=0.1353

For b)

P(T\geq 10/T>9)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

P(T\geq 10/T>9)=P(T\geq 1)

P(T\geq 1)=1-P(T

P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679

4 0
3 years ago
What is -2x - 10 = - 14x - 7?
jek_recluse [69]

x=4 because if you add 7 to 10 you get -2x-3=-14x then you add -2x to -14x and you get -3=-12 then you divide by -3 and -12 to get 4


3 0
3 years ago
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