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Over [174]
3 years ago
6

Can someone help me find the area of this shape.

Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

37 ft²

Step-by-step explanation:

The figure is composed of a triangle and a square

Therefore, area of the figure = area of the triangle + area of the square

= ½bh + s²

Where,

b = 1.5 + 4 + 1.5 = 7 ft

h = 6 ft

s = 4 ft

Plug in the values into the equation

Area of the figure = ½*7*6 + 4²

= 21 + 16

= 37 ft²

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Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
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3 years ago
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3 years ago
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yarga [219]
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6 0
4 years ago
What is the value of this expression? (-2)^5
s344n2d4d5 [400]

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8 0
3 years ago
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Use the Central Limit Theorem to find a mean given a probability Question A video game company sells an average of 132 games a m
aev [14]

Answer:

The number of games must a store sell in order to be eligible for a reward is 135.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of video games sold in a month by the sores.

The random variable <em>X</em> has a mean of, <em>μ</em> = 132 and a standard deviation of, <em>σ</em> = 9.

It is provided that the company is looking to reward stores that are selling in the top 7%.

That is, P (\bar X > \bar x) = 0.07.

The <em>z</em>-score related to this probability is, <em>z</em> = 1.48.

Compute the number of games must a store sell in order to be eligible for a reward as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

\bar x=\mu+z\cdot \sigma/\sqrt{n}

   =132+1.48\times (9/\sqrt{36})\\\\=132+2.22\\\\=134.22\\\\\approx 135

Thus, the number of games must a store sell in order to be eligible for a reward is 135.

5 0
3 years ago
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