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3 years ago

The angel in the triangle.

Mathematics

1 answer:

adell [148]3 years ago

7 0

Answer:

Step-by-step explanation:

Subtract 73 from 180 to get 107. Then divide 107 by 2 to get 53.5 degrees. For each angle. Meaning angle B is 53.5 or 54 degrees.

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If a number is increased by its square, the result is 72 find the number

gregori [183]

Translating into a mathematical equation:

n + n^2 = 72

Rewriting, n^2 + n - 72 = 0
Factoring, (n+9)(n-8) = 0
Solving for n: n = -9 or n = 8

You must check both answers before accepting one, the other or both.

Example: suppose we check out n = 8. Then 8 + 8^2 = 72 is true, and n = 8 is a solution. Is n = -9 a solution? Try it.

8 0

2 years ago

Daniel says that when the irrational number 7√3 is multiplied by any rational number, the product is always an irrational number

jeka94

Answer: 0

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

Explanation:

When we multiply 0 by any number, we get 0 as a result

x*0 = 0

0*x = 0

for any number x.

The number 0 is rational since we can write it as a fraction of two integers

0 = 0/1

If Daniel were to correct his statement to say "multiply by any <u>nonzero</u> rational number", then his statement would be correct that the result is irrational.

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Extra info:

Here's a proof showing why Daniel's claim is correct if we consider nonzero rational numbers

Let p be a nonzero rational number, so p = a/b for integers a,b where neither a or b are zero

Let q be an irrational number. We cannot write q as a ratio of two integers

The claim is that p*q is irrational. For now let's assume the opposite. So assume p*q is rational. This means p*q = r/s for integers r,s

This would be the same as (a/b)*q = r/s which solves to q = (r/s)*(b/a) = (rb)/(sa) making q rational, but that contradicts the fact we made q irrational earlier.

Therefore, the assumption p*q is rational cannot be the case, and p*q must be irrational.

7 0

2 years ago

For 15 points, label this:

MAXImum [283]

Source of magnetic force - Nail

Source electric force - battery cell

<h3>What is an electromagnet?</h3>

We know that the electromagnet is a type of magnet whose magnetic property depends on the interaction of the magnetic material with an electric field. We can see in the image that the nail which serves as the magnetic material is connected to a cell which is the source of the given electric current.

It the follows that the nail above is the source of the magnetic force because the coils of wire while the battery cell is the source of the electrical force.

Learn more about electromagnet:brainly.com/question/3427992

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4 0

1 year ago

What is the quotient?

Sergio039 [100]

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

$\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343$

6 0

3 years ago

An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287

Gennadij [26K]

The required value of mean and variance is 203 and 3942 respectively.
Hence option B is correct.

The sample includes the following claims: 192, 113, 200, 287, and 225.

<h3>What is Statistic?</h3>

The statistic is the study of mathematics which deal with relations between comprehensive data.

Mean(x) = 192+113+200+287+225/5
x = 203

variance = $\frac{\sum(x-x_i)^2}{n^2-1}$

=summation of squared value/n^2−1

=15769/25−1

=15769/24

=3942

Thus, the required value of mean and variance is 203 and 3942 respectively.

Learn more about Statistics here:

brainly.com/question/23091366

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8 0

1 year ago