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2 years ago

Please help! Need to pass!

Mathematics

1 answer:

WINSTONCH [101]2 years ago

4 0

The height of the ramp of Raúl is calculated as; 8ft

<h3>How to use the principle of similar triangles?</h3>

Both big and small triangles are similar triangles because all three of their corresponding angles are congruent.

Now, to get the height we will use the concept of similar triangles to get;

h/2 = 12/3

Cross multiply to get;

h = 24/3

h = 8 ft

Thus, the height of the ramp of Raúl is 8ft.

Read more about similar triangles at; brainly.com/question/14285697

#SPJ1

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Consider the proof for the identity csc(x)+sin(x)=(2-cos^(2)(x))/(sin(x)).

spin [16.1K]

1. given:

csc(x) + sin(x)

2. definition of csc(x) :

1/sin(x) + sin(x)

3. combining fractions with a common denominator:

(1 + sin²(x))/sin(x)

4. expanding 1 = cos²(x) + sin²(x) :

(cos²(x) + sin²(x) + sin²(x))/sin(x)

5. simplifying:

(2 sin²(x) + cos²(x))/sin(x)

6. employing the same identity as in (4) :

(2 (1 - cos²(x)) + cos²(x))/sin(x)

7. expanding 2 (1 - cos²(x)) :

(2 - 2 cos²(x) + cos²(x))/sin(x)

8. simplifying:

(2 - cos²(x))/sin(x)

8 0

2 years ago

What is a conversion factor that you can use to convert gallons to pints

OLEGan [10]

You can use quarts to convert

first do pints to quarts

then do quarts to gallons

3 0

3 years ago

Read 2 more answers

Which shows 53^2-47^2 being evaluated using the difference of square method

tia_tia [17]

I think it would be the last one from my calculations im not positive but its what makes sense.

4 0

4 years ago

Here we will study the function f (x) = e ^ x sin (x), where x ∈ [0, 2π]. a) Determine where the function is decreasing and incr

Semmy [17]

fff

$f(x) = e^x sin (x)$

To find increasing and decreasing intervals we take derivative

$f'(x) = e^xsin(x)+e^x(cosx)= e^x(sinx+cosx)$

Now we set the derivative =0 and solve for x

$e^x(sinx+cosx)=0$

sinx + cosx =0

divide whole equation by cos x

$\frac{sinx}{cosx} + \frac{cosx}{cosx} =0$

tanx +1 =0

tanx = 1

$x=\frac{3\pi }{4}$ and $x=\frac{7\pi}{4}$

Now we pick a number between 0 to $\frac{3\pi }{4}$

Lets pick $\frac{\pi }{2}$

Plug it into the derivative

$f'(x) =e^{\frac{\pi }{2}}(sin(\frac{\pi}{2})+cos(\frac{\pi }{2}))$

= 4.810 is positive

So the graph of f(x) is increasing on the interval [0, $x=\frac{3\pi }{4}$ )

Now we pick a number between $\frac{7\pi}{4}$ to 2pi

Lets pick $\frac{11\pi}{6}$

Plug it into the derivative

$f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))$

= 116 is positive

So the graph of f(x) is increasing on the interval $(\frac{7\pi }{4}, 2\pi)$

Increasing interval is $(0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)$

Decreasing interval is $(\frac{3\pi}{4}, \frac{7\pi}{4})$

(b)

The graph of f(x) increases and reaches a local maximum at $x=\frac{3\pi}{4}$

The graph of f(x) decreases and reaches a local minimum at $x=\frac{7\pi}{4}$

(c)

f(0) = 0

$f(2\pi)=0$

$f(\frac{3\pi }{4})=7.46$

$f(\frac{7\pi}{4})=-172.64$

Here global maximum at $x=\frac{3\pi}{4}$

Here global minimum at $x=\frac{7\pi}{4}$

3 0

3 years ago

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Factorise fully<br> 15x-10

padilas [110]

Answer:

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Factor

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Step-by-step explanation:

6 0

3 years ago