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Llana [10]
2 years ago
9

Find the value of sin H rounded to the nearest hundredth, if necessary. Help please

Mathematics
1 answer:
Travka [436]2 years ago
7 0

Answer:

sinH ≈ 0.47

Step-by-step explanation:

sinH = \frac{opposite}{hypotenuse} = \frac{IJ}{HJ} = \frac{16}{34} ≈ 0.47 ( to the nearest hundredth )

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Which of the choices best describes this arithmetic sequence?<br> -3, 1, 5, 9, 13,...
zloy xaker [14]

Answer:

Add by 4

Step-by-step explanation:

-3+4=1

1+4=5

5+4=9

9+4=13

3 0
2 years ago
Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?
spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

\frac{d}{dx}\cdot f(x)

Now the sum of the 2 functions is shown below

y=f(x)+g(x)

Diffrentiating both sides with respect to 'x' we get

\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

\frac{dy}{dx}

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

h=f(x)\cdot g(x)

Diffrentiating both sides with respect to 'x' we get

h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0
3 years ago
Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b
Nata [24]

Answer:

a = -2 , b = -8

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   ax - y = 8 ⇒ (1)

   2x + y = b ⇒ (2)

∵ The system create infinitely many solutions

∴ The lines are coincide

- The equations must be equal, then multiply equation(1) or (2) by -1 to

  make the coefficient of y in the two equations equal

∴ -ax + y = -8

∴ 2x + y = b

∵ Their coefficients of x are equal

∵ Their coefficients of y are equal

∵ Their numerical terms are equal

∵ The coefficient of x in equation (1) is -a and in equation (2) is 2

∴ -a = 2 ⇒ multiply both sides by -1

∴ a = 2

∵ The numerical term in equation (1) is -8 and in equation (2) is b

∴ b = -8

* The values for a and b will create infinitely many solutions are -2 , -8

5 0
3 years ago
A car starts moving at 9:00 am and moves at a constant speed. At what time will the car be at the distance 200 miles from the st
andriy [413]

. i got the answer of 2:00

Step-by-step explanation:

yea

6 0
3 years ago
Read 2 more answers
Please help been stuck on this for 40 minutes
choli [55]

we have given y interms of x.

we have given that add 2 to x.

which means y=x+2

so we have x=2 ,y=x+2=2+2=4.

so when x=2 ,y=4.

x=4,y=x+4=4+2=6..

y=x+2,y=6+2=8.

3 0
3 years ago
Read 2 more answers
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