Is -6/5x=y proportional

How many possible outcomes are there on ryan's first turn flipping two cards?

GalinKa [24]

The possible outcomes are there on Ryan's first turn flipping two cards is

<h3>What are cards?</h3>

The cards are 52 in number in which 13 cards are different. Each card is four in quantity.

Ryan is playing a multiplication game with a pile of 26 cards, each with a number on them.

Each turn, he flips over two of the cards and has to multiply the numbers.

The number of ways in which two cards can be selected from 26 cards, at the same time. The order of those are important.

Then, the number of possible outcomes on each flip of two cards

= 26 p(2)

= 26 x 25

=650

Thus, the possible outcomes are there on Ryan's first turn flipping two cards.

Learn more about cards.

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3 0

1 year ago

Kevin decides to build a square for his play park. If the area of the room is 4x^2 + 28x + 49 square feet, what is the length of

leva [86]

We have to factor becasue
area=legnth times width
area=4x^2+28x+49
area=(2x+7)(2x+7)
area=(2x+7)^2
legnth =width

we arent' given area so we can't solve
but, , since it is a squaer room, legnth=width so √area=legnth=width

8 0

3 years ago

In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?

nordsb [41]

Answer:

1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

<h3>Pythagorean relation</h3>

The relation between sine and cosine is the identity ...

sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

sin(x) = √(1 -cos(x)²)

<h3>Application</h3>

For the present case, using the given cosine value, we find ...

sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

sin(x) = 1/2

__

<em>Additional comment</em>

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

6 0

11 months ago

HELP PLEASE You're taking a scenic road trip down CA-Highway 1 from San Jose, California, to Los Angeles. You plan to split the

Savatey [412]

Answer:

((I do not have the answers for one, two, or four))

3.)

•What do you know?

-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.

•What do you want to find out?

-How many miles it is from Santa Barbara to Los Angeles.

•What kind of answer do you expect?

-If using variable, I expect that I will get the number of miles from one city to the other.

5.)

425 = 320 + X

6.)

425 = 320 + X

Subtract 320 from both sides.

7.)

X = 105

From Santa Barbra to Los Angeles it is 105 miles.

8.)

320 + 105 = 425

3 0

2 years ago

Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t

Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

$x = 100 + 3(2800 - x)$

Distributing 3 in the right side of the equation, we get...

$x = 100 + 8400 - 3x$

Adding 3x on both sides of the equation, we get...

$x+3x = 8500$

Combine like terms in the left side of the equation, we get...

$4x=8500$

Dividing 4 on both sides of the equation, we get...

$\frac{4x}{4} =\frac{8500}{4}$

Simplifying the fraction on either side of the equation, we get...

$x=2125miles$

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

3 0

2 years ago