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klemol [59]
3 years ago
8

Two similar rectangular prisms have a scale factor of 3.4/5.1 .Find the ratio of their volumes. The answer choices are

Mathematics
1 answer:
Zinaida [17]3 years ago
3 0

b. \:  \frac{8}{27}

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5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.​
lesya692 [45]

9514 1404 393

Answer:

  ±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

  |x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

  sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

  A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

  A·cos(c) = 3   and   A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

  (A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

  x = A·sin(θ +c) . . . . for some angle c

  x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0
3 years ago
The scatterplot shows the average monthly outside temperature and the monthly electricity cost.
Vanyuwa [196]

Answer: 600

Step-by-step explanation:

I just took the test

8 0
2 years ago
What is the solution to the following system of equations 4x + 2 = -2y 6y - 18 = 6x
Pavel [41]

Answer:

The solution to the system of equations are;

x = -4/3

y = 5/3

Step-by-step explanation:

To find the Solution, we would carry the Operation simultaneously.

4x + 2 = -2y .........(i)

6y - 18 = 6x ..........(ii)

First let's rearrange the equations, to make the journey smoother

2y + 4x = -2 ...........(iii)

6y - 6x = 18 ...........(iv)

Let's Multiply equation (III) by 3 so as to have a uniform spot to begin elimination.

3.2y + 3.4x = -2 . 3

6y + 12x = -6............... (v)

Let's subtract equation (v) from equation (iv)

= 0y - 18x = 24

-18x = 24

x = - 24 / 18

x = -4/3

Let's substitute (x = -4/3) in equation (ii), so that we can solve for the value of y:

6y - 18 = 6x

6y - 18 = 6 (-4/3)

6y - 18 = -8

6y = -8 + 18

6y = 10.

y = 10 / 6

y = 5/3

The solution to the system of equations are;

x = -4/3

y = 5/3

8 0
3 years ago
Please show who u got this
devlian [24]

Answer:

1. 7776

2. 64

Step-by-step explanation:

6×6×6×6×6

6×6=36

simplify:

36×36×6

36×36=1296

1296×6=7776

2.

2×2×2×2×2×2

2×2=4

simplify:

4×4×4

16×4 =64

4 0
3 years ago
Read 2 more answers
1 -For what value of x is line a parallel to line b
IgorC [24]

Answer:

1) x = 17,  line a parallel to line b

2) x = 18,  line a parallel to line b

Step-by-step explanation:

If line a parallel to line b then (10x - 40) + 50 = 180

Solve for x

10x - 40 + 50 = 180

Combine like terms

10x + 10 = 180

10x = 170

  x = 17

x = 17,  line a parallel to line b

-------------------------------------------------

If line a parallel to line b then 5x - 16 = 74

Solve for x

5x - 16 = 74

5x = 90

  x = 18

x = 18,  line a parallel to line b

 

4 0
3 years ago
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