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3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer:

A. a = √2

b = √2

Step-by-step explanation:

Apply trigonometric function to find a and b:

Reference angle = 45°

Hypotenuse = 2

Opposite side = a

Adjacent side = b

✔️Apply SOH to find a, which is:

Sin 45 = Opp/Hyp

Sin 45 = a/2

2*Sin 45 = a

2*1/√2 = a (sin 45 = 1√2)

2/√2 = a

Rationalize

(2*√2)/(√2*√2) = a

2√2/2 = a

√2 = a

a = √2

✔️Apply CAH to find b, which is:

Cos 45 = Adjacent/Hypotenuse

Cos 45 = b/2

2*Cos 45 = b

2*1/√2 = b (Cos 45 = 1√2)

2/√2 = b

Rationalize

2√2/2 = b

√2 = b

b = √2

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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of

satela [25.4K]

Answer:

The position P is:

$P = 87\^x + 75\^y$ ft Remember that the position is a vector. Observe the attached image

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity $s_0$ is:

$y(t) = y_0 + s_0t -16t ^ 2$

Where $y_0$ is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

$s_0 = 82sin(58\°)$ ft/sec

$s_0 = 69.54$ ft/sec

Thus

$y(t) = 69.54t -16t ^ 2$

The height after 2 sec is:

$y(2) = 69.54 (2) -16 (2) ^ 2$

$y(2) = 75\ ft$

Then the equation that describes the horizontal position of the ball is

$X(t) = X_0 + s_0t$

Where

$X_ 0 = 0$ for this case

$s_0 = 82cos(58\°)$ ft / sec

$s_0 = 43.45$ ft/sec

$X(t) = 43.45t$

After 2 seconds the horizontal distance reached by the ball is:

$X (2) = 43.45(2)\\\\X (2) = 87\ ft$

Finally the vector position P is:

$P = 87\^x + 75\^y$ ft

6 0

3 years ago

Answer 37, 38, and 39 and make sure to answer with either the letter or with one of the answers shown! SHOW YOUR WORK PLEASE!!

ollegr [7]

Answer:

I didn't even realize until I had written all of the answers down that they are all C.

37 = C. 15%

38 = C. 2 $x^{3}$

39 = C. 48

Step-by-step explanation:

37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.

38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or 2 $x^{3}$ .

39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.

8 0

3 years ago

Please anyone can give me it's urgent....

Pavlova-9 [17]

Step-by-step explanation:

From the figure it is clear that:

x+110°=180

x=180-110

x=70

For y:

the left exterior angle of line q is also70.

By the definition of alternate exterior angle:

y=70

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3 0

3 years ago

Find the surface area of the composite solid below. (2 ft, 2 ft, 2 ft, 3 ft)

elixir [45]

Answer:

44 sq. ft

Step-by-step explanation:

5(2^2) = 20

4(3x2) = 24

20+24 = 44

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3 years ago

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nalin [4]

1689.32 hope this helps

6 0

3 years ago

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