What is the length (magnitude) of the vector (7,-2)?

I need this question answered plz help.

wel

Answer:

a.12/13

Step-by-step explanation:

FORMULA: sine of an angle in a triangle is given by, $\frac{opposite side's length}{length of the hypotenuse}$

here, in the given triangle PQR, for angle 'p'

opposite side= QR

adjacent side= PQ

hypotenuse=PR

Therefore, sine of angle p= $\frac{QR length}{PR length} = \frac{12}{13}$

Thus, by using the above given formula, the sine of angle p in the triangle PQR is 12/13.

hence, the trigonometric formulas as mentioned above should be remembered for sure to solve these type of problems

6 0

3 years ago

If X and Y are distinct digits such that the eight-digit number 7448X24Y is divisible by both 8 and 9, then find X - Y.

Talja [164]

The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

<h3>How to determine the distinct digits X and Y?</h3>

The eight-digit number is given as:

7448X24Y

Also, from the question

The number is divisible by 8 and 9

When a number is divisible by 8, then the last three digits of that number would be divisible by 8.

When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.

So, we have:

24Y is divisible by 8

The possible value of Y from the above statement is 0

This is so because 240 is divisible by 8

The sum of the digits of the number would be divisible by 9.

This means that:

7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y

Substitute 0 for Y

29 + X + Y = 29 + X + 0

Evaluate the sum

29 + X + Y = 29 + X

36 is divided by 9

So, we have

29 + X = 36

Subtract 29 from both sides of the equation

X = 7

So, we have

X = 7 and Y = 0

X - Y is calculated as:

X - Y = 7 - 0

Evaluate the difference in the above equation

X - Y = 7

Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

Read more about digits at:

brainly.com/question/26856218

#SPJ1

7 0

2 years ago

A six-sided number cube numbered 1 through 6 is rolled 270 times. The number 3

Komok [63]

Answer:

The theoretical probability of rolling a 3 is 1/6 and the experimental probability of rolling a 3 is 135/22

Step-by-step explanation:

8 0

3 years ago

Diane runs 10 miles in 55 minutes, how many minuets does she take per mile?

Brut [27]

Step-by-step explanation:

Hi!!

 It's simple, you can do it easily. 

no. of miles = 10 miles

time = 55 mins.

now,

no. of mins for 1 mile = no. of miles/ time

 = 10 /55

 =0.18181818 min.

so, she takes 0.181818 or 2/11 min per each mile.

Hope it helps...

5 0

4 years ago

Read 2 more answers

(2.0), (3, 0). (4,4), (5,0). Domain and range

oksano4ka [1.4K]

Domain is the x and range is y so your domain is 2,3,4,5 and your range is 0 and 4

4 0

3 years ago