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3 years ago

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

Mathematics

1 answer:

natita [175]3 years ago

6 0

Answer:

n = 20°

m = 20°

Step-by-step explanation:

This is a special right triangle with angle measures of 45° 45° 90° and side lengths x, x, and x√2

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Algebra what a subject please write down all the rules when using algebra ill provide some below that I know

Andrews [41]

Step-by-step explanation:

Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.

Like Terms Rule: If two terms that share the same variable are separated by a binary operation, we can combine them.

For example, look at

$6 + 7x + 9x$

We can combine 7x and 9x.

$7x + ( + 9x) = 16x$

Add the coeffceint and keep the variable.

16x+6

Solving Algebraic Equations:

Alot questions in Algebra asks you to isolate a variable. For example,

$\frac{x}{2} + 6 = 9$

First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,

WHAT WE DO TO ONE SIDE. WE DO TO THE OTHER.

 $\frac{x}{2 } = 3$ 

Now, we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.

$x = 6$

If we plug this in, it is indeed true.

$\frac{6}{2} + 6 =$

$3 + 6 = 9$

Some other rules are

If we multiply a term by a one term, we only affect the term that is being multiplied, for example

$2x \times 3$

2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.

$2 \times 3 = 6(x)$

$2x \times 3 = 6x$

When we multiply 2 variables, we put the variable near each other. For example,

$x \times y = xy$

When we add term, we add the coeffcient parts

$y + y = 1y + 1y = 2y$

Know that

$y = 1y$

When we multiply same term variables, we get

$x \times x = {x}^{2}$

There is more formulas for Algebra. But these are the basicis.

8 0

3 years ago

This is algebra please help

Ghella [55]

Answer:

1/8 and 1/16

Step-by-step explanation:

The negative exponent just means to right the negative inverse.

For example:

4^-2 means 4^2 but in a fraction

the answer would be 1/16

4 0

3 years ago

What is the point slope form for a slope 6 and points -9,5

const2013 [10]

Answer:

y - 5 = 6(x + 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 6 and (a, b) = (- 9, 5), thus

y - 5 = 6(x - (- 9)), that is

y - 5 = 6(x + 9)

8 0

3 years ago

A hospital emergency room has collected a sample of 40 to estimate the mean number of visits per day. The sample standard deviat

zhuklara [117]

<h3>Answer: 8.323 (approximate)</h3>

====================================================

Explanation:

s = 32 = sample standard deviation

n = 40 = sample size

Despite not knowing the population standard deviation (sigma), we can still use the Z distribution because n > 30. When n is this large, the student T distribution is approximately the same (more or less) compared to the standard Z distribution. The Z distribution is nicer to work with.

At 90% confidence, the z critical value is roughly z = 1.645. This can be found using either a Z table or a calculator.

------------------

We have these values:

z = 1.645 (approximate)
s = 32
n = 40

Plug these values into the margin of error formula.

$E = z*\frac{s}{\sqrt{n}}\\\\E \approx 1.645*\frac{32}{\sqrt{40}}\\\\E \approx 8.32311480156318\\\\E \approx 8.323\\\\$

The margin of error is roughly 8.323

I rounded to 3 decimal places because z = 1.645 is rounded to 3 decimal places. If your teacher wants some other level of precision, then be sure to follow those instructions.

3 0

3 years ago

A car manufacturer wants to change the content of a certain automobile to have less steel in order to get better gas mileage. On

HACTEHA [7]

I would say that this study is an experiment.
The car manufacturer wants to test some changes that he wants to implement in his cars, which is why he has two control groups (standard cars and cars with the new content) to test those changes out. This is a typical experiment and not an observation as he is not really observing much.

3 0

4 years ago

Read 2 more answers