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2 years ago

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics

1 answer:

galina1969 [7]2 years ago

6 0

Answer:

Answer:

50.2

Step-by-step explanation:

$ut = \sqrt{ {6}^{2} + {5}^{2} } \\ \sqrt{36 + 25} \\ \sqrt{61 } \\ using \: cosine \: rule \\ cos \: u = \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times \sqrt{61} } \\ \\ = \frac{25 + 61 - 36}{78} \\ \\ = \frac{50}{78 } \\ \cos \: u = 0.64 \\ m \:u = 50.2$

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Determine whether the underlined number is a statistic or a parameter. In a study of all 1963 employees at a college, it is foun

Ann [662]

Answer:

1. Parameter because the value is a numerical measurement describing a characteristic of a population

Step-by-step explanation:

A parameter is a fixed measure which describes the whole population while a statistic is a characteristic of a sample (which is a portion of the target population).

In a study of all 1963 employees at a college, it is found that "40%" own a computer.

The study involved the entire population of employees in the college, therefore the result describes the computer owning characteristics of the whole population under study. It is therefore a parameter.

The correct option is 1.

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3 years ago

What is the volume of a sphere with a radius of 4

Ede4ka [16]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.

$V = \frac{4}{3}\pi r^{3}$

Here, we are given that our sphere has a radius of 4 units.

So plugging into the formula, we have $(\frac{4}{3})(\pi)(4 units)^{3}$ .

Start by simplifying the exponent.

(4 units)³ is equal to (4 units) (4 units) (4 units) or 64 units³.

So we have $(\frac{4}{3})(\pi)(64 units^3})$ .

Next, we multiply (4/3)(64) which can

be thought of as (4/3)(64/1)

So multiplying across the numerators and across the denominators,

we have $\frac{256}{3} \pi units^{3}$ .

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3 years ago

Please Help). Use the figure below to answer the questions. A) Describe in words a sequenc of transformations that maps □ABC to

lesya [120]

Answer:

See below

Step-by-step explanation:

The initial ordered-pairs are $(x, y)$

We have a rotation of 90 degrees counterclockwise with respect to origin

Note. Previously the points were

$A(-3, 4), B(-3, 0), C(-1, 3)$

After the rotation, we have

$A(-4, -3), B(0, -3), C(-3, -1)$

Thus, $(x, y) \rightarrow (-y, x)$

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3 years ago

Complete the square on the following quadratic x2+10x+9=0

kakasveta [241]

Given a quadratic equation $x^{2} +ax+c=0$

1. the first thing we do when we want to compete the square, is write the coefficient of x as 2 times a number.

In our case the coefficient of x is 10, so we write 10 as 2*5

2. then we write + $5^{2}$ and - $5^{2}$ to the expression:

$x^{2} +2*5*x+ 5^{2} -5^{2}+9=0$

$(x^{2} +2*5*x+ 5^{2}) -25+9=0$

$(x+5)^{2}-16=0$

Answer: $(x+5)^{2}-16=0$

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3 years ago

What is the arithmetic mean for the following numbers,88,80,75,70,38,45,70,60,60,50

Natalija [7]

Answer:

63.6

Step-by-step explanation:

X=£fx/n

= 88+80+75+70+38+45+70+60+60+50/10

= 636/10

= 63.6

Mark me as Brainliest.

Please feel free to ask if you have any questions.

Thanks

5 0

2 years ago