A road sign is in the shape of an equilateral triangle with a vertical measurement of 41.2cm. How long is each side?

Anuta_ua [19.1K]

Your answer would be PQ

8 0

3 years ago

A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first r

Kryger [21]

The probability of occurrence for the events A, B and C is; 1/4.

<h3>What is the probability of occurrence of.the described events?</h3>

For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;

Event A = 2/8 = 1/4.

For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;

Event B = 2/8 = 1/4.

For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;

Event C = 2/8 = 1/4.

Read more on probability;

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7 0

1 year ago

A credit card customer owes $325.60 they charge another purchase of $45.20. how much money does the customer owe?

Burka [1]

$367.80 because you have to add up the purchase the owe and the other one too, then you get your answer

8 0

3 years ago

Read 2 more answers

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle

zaharov [31]

Answer:

a) Not parallel to y-axis

b) Not parallel to y-axis

c) Parallel to y-axis

Step-by-step explanation:

The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.

The equation of line: $(y-y_1) = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$

a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.

It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and ( $\frac{9}{2}$ ,12).

b) The line joining the points $(\frac{3}{5}, \frac{13}{5}), (\frac{1}{5} ,\frac{8}{5})$ is not parallel to y-axis.

Equation of line: $5y - 7.5x = 5.5$

Another points that could be lie on this line are (0.6,2) and (0.25,1.475)

c) The line joining the points $(0.8, 1.9), (0.8,2.3)$ is parallel to y-axis because points have the same x-coordinate.

Another points that could be lie on this line are (0.8,2) and (0.8,2.1)

5 0

3 years ago

Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a

Sladkaya [172]

Answer:

Part A: The length of each side is $3x-2$ units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> $9x^2-12x+4$

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0

2 years ago