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Elenna [48]
3 years ago
14

Choose the option that best answers the question. The hypotenuse of a right triangle is 16 ft longer than the length of the shor

ter leg. If the area of this triangle is exactly 120 ft2, what is the length of the hypotenuse in feet?
Physics
1 answer:
FrozenT [24]3 years ago
3 0

Answer: The hypotenuse is 26 ft.

Step-by-step explanation: Let's call the shorter leg of the triangle x. The hypotenuse would be x + 16 and the other leg is y.

As the area is 120, we know that x.y/2 = 120 (because it's a right triangle).

This way, y = 240/x

we know that in a right triangle, we have a² = b² + c²

(x + 16)² = x² + y²

(x + 16)² = x² + (240/2)²

x² + 32x + 256 = x² + 57600/x²

32x + 256 = 57600/x²

32x³ + 256x² = 57600 (÷ 32)

x³ + 8x² = 1800

x = 10

∴

x + 16 = 26

y = 240/10 = 24

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Two forces of 83 pounds and 56 pounds act simultaneously on an object. The resultant forms an angle of 52° with the 56-pound for
Nikitich [7]

Answer:

95.9°

Explanation:

The diagram illustrating the action of the two forces on the object is given in the attached photo.

Using sine rule a/SineA = b/SineB, we can obtain the value of B° as shown in the attached photo as follow:

a/SineA = b/SineB,

83/Sine52 = 56/SineB

Cross multiply to express in linear form

83 x SineB = 56 x Sine52

Divide both side by 83

SineB = (56 x Sine52)/83

SineB = 0.5317

B = Sine^-1(0.5317)

B = 32.1°

Now, we can obtain the angle θ, between the two forces as shown in the attached photo as follow:

52° + B° + θ = 180° ( sum of angles in a triangle)

52° + 32.1° + θ = 180°

Collect like terms

θ = 180° - 52° - 32.1°

θ = 95.9°

Therefore, the angle between the two forces is 95.9°

3 0
3 years ago
Fast need answers <br>Find the amount of force if the body has pressure of 178 Pa on 18 mm²​
guajiro [1.7K]

Answer:

Force = 3.204Newton

Explanation:

Given the following data;

Pressure = 178

Area = 18 mm² to meter = 18/1000 = 0.018 m²

To find the force;

Force = pressure * area

Force = 178 * 0.018

Force = 3.204 Newton.

4 0
3 years ago
A wave can be described as
rewona [7]
A wave can be described as the disturbance of particles in an area. Think about it this way: particles (matter) carry energy. For all the laws of physics to work, this energy must be "traded" somehow. This happens by miniscule vibrations in the particles, which are apparent disturbances. This creates a wave, and therefore a wave is, indeed, a disturbance.<span />
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3 years ago
In a house, a circuit often includes multiple electrical outlets which are parallelconnected to a single voltage source. Each of
valkas [14]

Answer:

In parallel circuits, if one element has a problem, it can be eliminated and the rest of the elements continue to work.

Explanation:

There are two ways to connect electrical circuits, in series and in parallel.

Series circuits have the problem that when one element is damaged, the entire circuit is interrupted and runs out of power.

In parallel circuits, if one element has a problem, it can be eliminated and the rest of the elements continue to work.

In Breaker it is connected in series so that when some maintenance is needed, all the energy can be interrupted simultaneously and if some equipment tries to consume a lot of energy, the circuit prevents this action by interrupting the energy of the entire circuit

5 0
4 years ago
You are standing at the top of a cliff that has a stairstep configuration. There is a vertical drop of 6 m at your feet, then a
Zigmanuir [339]

Answer:

4.5 m/s

Explanation:

The rock must barely clear the shelf below, this means that the horizontal distance covered must be

d_x = 5 m

while the vertical distance covered must be

d_y = 6 m

The rock is thrown horizontally with velocity v_x, so we can rewrite the horizontal distance as

d_x = v_x t

where t is the time of flight. Re-arranging the equation,

t=\frac{d_x}{v_x} (1)

The vertical distance covered instead is

d_y = \frac{1}{2}gt^2

where we omit the term ut since the initial vertical velocity is zero. From this equation,

t=\sqrt{\frac{2d_y}{g}} (2)

Equating (1) and (2), we can solve the equation to find v_x:

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6 0
3 years ago
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