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Schach [20]
2 years ago
15

The picture shows a box sliding down a ramp.

Mathematics
2 answers:
forsale [732]2 years ago
8 0
In your question where as the picture shows a box sliding down a ramp and ask to calculate the distance, in feet, that the box has to travel to move form point A to point C and the best answer would be 12 cosec 65. I hope you are satistfied with my answer and if you need some clarification, please feel free to ask for more
bija089 [108]2 years ago
6 0

Answer:

AC=12cosec(65\°)\ ft

Step-by-step explanation:

we know that

In the right triangle ABC

sin(65\°)=\frac{AB}{AC}

In this problem we have

AB=12\ ft

Substitute and solve for AC

sin(65\°)=\frac{12}{AC}

AC=\frac{12}{sin(65\°)}

Remember that

cosec(65\°)=\frac{1}{sin(65\°)}

substitute

AC=12cosec(65\°)\ ft

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Round 66,681 to the nearest ten thousand
kolezko [41]

Answer:

70,000

Step-by-step explanation:

66,681 is closest to 70,000 rather than 60,000.

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2 years ago
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What is the standard form 2x-3x2=5??​
tigry1 [53]
35 because 2x-3.45.there is the answer 35
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2 years ago
Find the linear approximation of the function g(x) = 3 1 + x at a = 0. g(x) ≈ Correct: Your answer is correct. Use it to approxi
EleoNora [17]

Answer:

3.296x+3

2.835

3.330

Step-by-step explanation:

g(x) = 3^{1+x}

Let the linear approximation be L(x) at a = 0. This is given by

L(x) = g(a) + g'(a)(x-a)

g'(x) is the derivative of g(x). To find this, we use the form

If f(x) = a^x, then f'(x) =a^x\ln a

By doing this and applying chain rule for the power (which is a function of x), we have

g'(x) = 3^{1+x}\ln 3

Then

g'(0) = 3^{1+0}\ln 3 = 3.296

Also g(0) = 3^{1+0} = 3

Hence L(x) = 3+(x-0)\times3.296 = 3.296x + 3

For 3^{0.95}, 1+x = 0.95 and x=-0.05

Using this in L(x),

3^{0.95} = 3.296(-0.05) + 3 = 2.835

For 3^{1.1}, 1+x = 1.1 and x=0.1

Using this in L(x),

3^{1.1} = 3.296(0.1) + 3 = 3.330

7 0
3 years ago
Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are
Ganezh [65]

Answer:

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6} (1)

By definition of the perfect square trinomial:

25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}

33 + 20\sqrt{2} = a + b\cdot \sqrt{6}

And by direct comparison we have the following system:

a = 33 (2)

b\cdot \sqrt{6} = 20\sqrt{2} (3)

By (3), we solve for b:

b = \frac{20}{\sqrt{3}}

b = \frac{20\sqrt{3}}{3}

The values of a and b are 33 and \frac{20\sqrt{3}}{3}, respectively.

6 0
3 years ago
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.Which statements about the function are true? Select thre
sertanlavr [38]

The statements about the function that are true are

  • The vertex of the function is at (–3,–16).
  • The graph is increasing on the interval x > –3.
  • The graph is positive only on the intervals where x < –7 and where x > 1.

<h3>How to interpret the graph?</h3>

The equation of the graph is given as

f(x) = (x - 1)(x + 7)

The graph of the function is added as an attachment

On the graph, we have

Vertex = (-3, -16)

This is so because the graph has a minimum point of (-3, -16)

Also, the graph crosses the x-axis at x = 1 and x = -7

This means that the graph is positive at x >1 and x >-7

Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3

Read more about quadratic functions at

brainly.com/question/14933288

#SPJ1

7 0
1 year ago
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