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1 year ago

-(-(8)))Explain how to answer

Mathematics

1 answer:

GuDViN [60]1 year ago

3 0

$-(-(8))$

1. Remove the parenthesis using the next rules:

$\begin{gathered} -(+)=- \\ -(-)=+ \end{gathered}$

2. Start to remove the parentheses from the center to the edges:

$-(-(8))=-(-8)=+8=8$ <h2>Then, the solution is 8</h2>

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A 5 mile jogging path diagonal divides a rectangular park in half. The park is 4 miles long. Find the width of the park.

levacccp [35]

Answer: The required width of the park is 3 miles.

Step-by-step explanation: Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.

We are to find the width of the park.

As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,

where length DA = 5 miles, BD = 4 miles and AB = width = ?

Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.

Using Pythagoras theorem in triangle ABD, we have

$BD^2=AB^2+DA^2\\\\\Rightarrow AB=\sqrt{BD^2-DA^2}\\\\\Rightarrow AB=\sqrt{5^2-4^2}\\\\\Rightarrow AB=\sqrt{25-16}\\\\\Rightarrow AB=\sqrt{9}\\\\\Rightarrow AB=3.$

Thus, the required width of the park is 3 miles.

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3 years ago

1000(100+200-88)+22-4

krek1111 [17]

Answer:

212018

Step-by-step explanation:

that + that + that - that times that equals 212018

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6 0

3 years ago

Read 2 more answers

It takes a machine 15 hour to assemble a toy.

solniwko [45]

12 toys. Dividing 15 by 60 equals 4 so 4 tots in a hour. Then multiple the 4 toys an hour by 3 hours.

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3 years ago

A group of cat owners was asked about the number of cats each owns. The results are shown in the frequency table. Number of Freq

Yakvenalex [24]

Answer:

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2 years ago

Each of the 25 balls in a certain box is either red, blue or white and has a number from 1 to 10 painted on it. If one ball is t

Aneli [31]

Answer:

Not sufficient information

Step-by-step explanation:

Probability of white ball: P(W)

Probability of even number: P(E)

Probability of white ball or even number: P(W∨E) is asked

Considering case (1):

Probability of white ball and even number: P(W∧E) = 0

And we know that,

P(W∨E) = P(W) + P(E) - P(W∧E) = P(W) + P(E) - 0 = P(W) + P(E)

It is not sufficient to calculate the desired probability.

Considering case (2):

P(W) - P(E) = 0.2

Here, it is possible for P(W) and P(E) to get multiply values.

So P(W∨E) cannot be determined.

Considering cases (1) & (2):

P(W∧E) = 0 and P(W) - P(E) = 0.2

So, P(W∨E) = P(W) + P(E) = P(E) + 0.2 + P(E) = 2P(E) + 0.2

Again multiple answers are possible.

Such as, for P(E) = 0.4 (10 even balls) ⇒ P(W∨E) = 1

but for P(E) = 0.2 (5 even balls) ⇒ P(W∨E) = 0.6

So, the information are not sufficient.

3 0

3 years ago