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AURORKA [14]
2 years ago
14

7 45° X Find the value of x . Write your answer in simplest form.

Mathematics
1 answer:
Masja [62]2 years ago
5 0

Answer:

7√2

Step-by-step explanation:

From the diagram given;

Hypotenuse = x

Opposite = 7

Angle = 45 degrees

According to SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 45 = 7/x

x = 7/sin45

x = 7/1/√2

x = 7 * √2/1

x = 7√2

Hence the value of x is 7√2

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Maggie is standing on a platform that is 8 feet above the ground. She throws a ball in the air that hits the ground after 2 seco
Paha777 [63]

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

<h3>How to find the free fall formula for a given scenario</h3>

An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:

h =h_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2} (1)

Where:

  • h_{o} - Initial height, in feet.
  • v_{o} - Initial speed, in feet per second.
  • t - Time, in seconds.
  • g - Gravitational acceleration, in feet per square second.

If we know that t = 2\,s, h_{o} = 8\,ft, h = 0\,ft, g = -32.174\,\frac{ft}{s^{2}}, then the height formula is:

0 = 8 +2\cdot v_{o} - \frac{1}{2}\cdot (32.174)\cdot (2)^{2}

0 = -56.348+2\cdot v_{o}

v_{o} = 28.174\,\frac{ft}{s}

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105

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2 years ago
The square rootof which number is rational a7. b 1.96. c. 0.04. d. 13​
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Answer:

B and C

Step-by-step explanation:

We need to find which one of these numbers is a perfect square. We know 7 and 13 can be eliminated since they're prime numbers so they can't be perfect squares. B and C are both perfect squares so that's the answer.

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A. What is the volume, in cubic feet, of the box in the diagram?
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Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

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Multiplicative Identity Property.

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