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____ [38]
3 years ago
11

Please help me:) !!!!!!

Mathematics
1 answer:
Naily [24]3 years ago
6 0

Answer:

Please find the solution in the image attached below.

Step-by-step explanation:

Tcos60 -2T sin(90-theta) = 0

Tcos60 = 2T(cos theta)

cos 60 = 2cos theta

cos60 = 2cos theta

1/4 = cos theta

theta = 75.5

So the angle to the vertical = 90-75.5 = 14.5

S

Resolving perpendicular

Tsin60 + 2Tsin75.5 - 2g = 0

T(sin 60 + 2sin75.5) = 2g

T = 19.6/sin 60 + 2sin75.5

T = 19.6/1.936 + 0.866

T = 19.6/2.802 = 7.0N

Hope this helps!

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if f is a differentiable function and f(0)=-1 and f(4)-3 then which of the following must be true there exists a c in [0,4] wher
iragen [17]

Answer:

True, see proof below.

Step-by-step explanation:

Remember two theorems about continuity:

  1. If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
  2. (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.

If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.

7 0
3 years ago
Plz help i have 9 min and i dont understand plz help worth 20 points
saw5 [17]

Answer:

no question

Step-by-step explanation:

3 0
3 years ago
6. In right triangle ABC, mZC=3y-10,
lorasvet [3.4K]

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

90\°+(y+40)\°+(3y-10)\°=180\°

Solve for y

4y+120=180

4y=180-120

4y=60

y=15

step 2

<em>Find the measure of angle B</em>

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

<em>Find the measure of angle C</em>

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

so

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

6 0
3 years ago
If y equals 6 , what is the value of x given 8x plus 5y equals 62
OverLord2011 [107]
8x+5(6)=62
8x+30=62
8x=32
x=4
6 0
3 years ago
Read 2 more answers
Help please need it by tonight
inysia [295]

Answer:

1) (n+5)(n-1)

2) (n-4)(n+3)

3) (v-4)(v-1)

4) (p-4)(p+2)

5)(7x-10)(x+1)

6)(7n-1)(n-9)

Step-by-step explanation:

1) Factors of -5 that add up to 4

2) Factors of --12 that add up to -1

3) Factors of 4 that add up to -5

4) Factors of -5 that add up to 4

5) 7x^{2}-3x-10

    7x^{2}+7x-10x-10

   7x(x+1)-10(x+1)

   (7x-10)(x+1)

6)7n^{2}-64n+9

    7n^{2}-63n-n+9

     7n(n-9)-(n-9)

     (7n-1)(n-9)    

4 0
3 years ago
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