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2 years ago

The perimeter of a triangle is 105 cm. If each of the two legs is exactly twice the length of the

Mathematics

1 answer:

Reptile [31]2 years ago

4 0

<em>Greetings from Brasil...</em>

According to the question of the statement, we can conclude that

PQ = 2B

QR = 2B

PR = base = B

Perimeter = P = 105

P = PQ + QR + PR

105 = 2B + 2B + B

B = 21

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Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United Sta

Molodets [167]

Answer: $5656.85

Step-by-step explanation:

The standard error of the mean measures the dispersion of sample means about the population mean .

It is also known as the standard deviation of its sampling distribution.

Formula : $SE=\dfrac{\sigma}{\sqrt{n}}$ , where $\sigma$ = population standard deviation.

n= sample size.

As per given , we have

$\sigma=\$40,000$

sample size : n= 50

Then, the standard error of the mean will be :-

$SE=\dfrac{\$40000}{\sqrt{50}}=\$5656.85424949\approx\$5656.85$

Hence, the standard error of the mean= $5656.85

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2 years ago

Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much

oksano4ka [1.4K]

Answer: 31 : 9

Step-by-step explanation:

Assume the following:

Alice's amount = P

Bob's amount = Q

Amount received = n

If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.

P + n = 4(Q - n)

P + n = 4Q - 4n

P = 4Q - 4n - n

P = 4Q - 5n - - - - (1)

If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob

P - n = 3(Q + n)

P - n = 3Q + 3n

P = 3Q + 3n + n

P = 3Q + 4n - - - - - - (2)

Equating both equations - (1) and (2)

4Q - 5n = 3Q + 4n

4Q - 3Q = 4n + 5n

Q = 9n

Express P in terms of n, use either equation (1) or (2)

From equation 2:

P = 3Q + 4n

Substituting Q = 9n

P = 3(9n) + 4n

P = 27n + 4n

P = 31n

Alice's amount = P, Bob's = Q

Ratio = P:Q

31 : 9

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2 years ago

If Angle 6 is congruent to angle 10 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Li

Nina [5.8K]

Answer:

Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.

Step-by-step explanation:

The missing figure is attached.

You need to remember that:

1- A Transversal is defined as a line that intersects two or more lines.

2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:

a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.

b. Corresponding angles: are those pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.

In this case, you can identify in the figure that:

$\angle 6$ and $\angle 10$ are Corresponding angles.

$\angle5$ and $\angle 7$ are Vertical angles.

Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.

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2 years ago

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oksano4ka [1.4K]

Answer:

1.4 × 10^-8

Step-by-step explanation:

The chip is 14 nanometers

14 * .000000001

.000000014

Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation. The exponent will be -8 because we moved it 8 places to the right

1.4 × 10^-8

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2 years ago

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Likurg_2 [28]

If we letx as the number of Caramel Apple lollipops soldy as the number of Gourmet lollipops sold
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hope this helps and brainliest :)

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2 years ago

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