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3 years ago

Identify the two remote interior angles that correspond to angle 4.

Mathematics

2 answers:

Kryger [21]3 years ago

6 0

Answer:

<1 and <2 are the remote interior angles for angle 4

Step-by-step explanation:

The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4

<1 and <2 are the remote interior angles

Alchen [17]3 years ago

4 0

Answer:

1 & 2

Step-by-step explanation:

Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)

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A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 10 characters long, and that eac

Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

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4 0

3 years ago

(i) Challenge: Thembi received 8% discount on an item which cost

Paul [167]

Answer:

$x = 0.25$

Step-by-step explanation:

Given

$Cost\ Price = 6 + x$

$Discount =8\%$

$Amount\ Paid = R6 - x$

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

$Amount\ Paid = Cost\ Price * (100\% - Discount)$

$Amount\ Paid = (6 + x) * (100\% - 8\%)$

$Amount\ Paid = (6 + x) * 92\%$

Express as decimal

$Amount\ Paid = (6 + x) * 0.92$

Open bracket

$Amount\ Paid = 5.52 + 0.92x$

So, we have:

$Amount\ Paid = 5.52 + 0.92x$ and

$Amount\ Paid = R6 - x$ ---- given

Equate both

$6 - x = 5.52 + 0.92x$

Collect like terms

$- x -0.92x= 5.52-6$

$-1.92x= -0.48$

$1.92x= 0.48$

Solve for x

$x = \frac{0.48}{1.92}$

$x = 0.25$

8 0

3 years ago

A road sign has the shape of an equilateral triangle with a side length of 48 inches. What is the height of the sign? The road s

Ivenika [448]

The height of the equilateral triangle is 41. 6 inches. Option C

<h3>How to determine the height</h3>

The formula for finding the height of an equilateral triangle is given as;

h = (a√3)/2

we have a = 48 inches

Let's substitute the value

Height, h = $\frac{48\sqrt{3} }{2}$

Height = $\frac{48 * 1. 732}{2}$

Height = $\frac{83. 14}{2}$

Height = $41. 6$ Inches

Thus, the height of the equilateral triangle is 41. 6 inches. Option C

Learn more about equilateral triangles here:

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5 0

2 years ago

Which expression has the greatest value |-21|, |14|, |30|, |-45|

tresset_1 [31]

Answer:

|-45|

Step-by-step explanation:

In mathematics, the absolute value of a real number is the numeric value of the number, regardless the sign, either this is positive or negative.

The absolute value function can be definied as:

|a|=a si a ≥0
|a|=-a si a <0

Using this definition, we have:

|-21| = -(-21) = 21

|14| = 14

|30| = 30

|-45| = -(-45) = 45

Therefore, the expression |-45| has the greatest value.

3 0

3 years ago

Weiming, Joyce and Siti divide cookies to sell in a ratio of 5: 12: 9. After Weiming sold 28 cookies, the ratio becomes 1: 8: 6.

Strike441 [17]

Answer:

216 cookies

Step-by-step explanation:

From the question,

Let the total cookies in the first place be x cookies.

Their ratio = 5:12:9

Total = 5+12+9 = 26.

Weiming share = (5/26)x = 5x/26

If weiming sold 28 cookies

⇒ (5x/26)-28

⇒ (5x-728)/28

Hence Weiming new share = (5x-728)/28 cookies

The new ratio is 1:8:6

The total cookies becomes = x-28

Therefore,

(1/15)(x-28) = (5x-728)/28

(x-28)/15 = (5x-728)/28

Crossmultiply

28(x-28) = 15(5x-728)

28x-784 = 75x-10920

Collect like terms

28x-75x = -10920+784

-47x = -10136

x = -10136/-47

x = 215.7

x ≈ 216 cookies

8 0

3 years ago