The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n

Answers

Answer 1

Answer:

[tex]m=12\,,n=7[/tex]

Step-by-step explanation:

The magnitude of vector [tex](x,y)[/tex] is given by [tex]\sqrt{x^2+y^2}[/tex]

The magnitude of vector [tex]a=(5,m)[/tex] is [tex]13[/tex].

[tex]\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12[/tex]

The magnitude of vector [tex]b=(n,24)[/tex] is [tex]25[/tex].

[tex]\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7[/tex]

Therefore,

[tex]m=12\,,n=7[/tex]

Answer 2
How do u submit it
What format?

Related Questions

Please help on this!

Answers

Answer:

18cm,21cm,27cm

Step-by-step explanation:

explanation in picture

Please help I will give brainliest

Answers

A
because a closed dot means included and it is going higher than -6 so it is greater than

Answer:

x ≥ -6

Step-by-step explanation:

The arrow is directing towards the right, in which the line contains number greater than -6. Moreover the circle on top of -6 is closed, proving that it is 'greater than or equal to'. (if it was greater than, the circle on top of the number would be open; the inner part of the circle wouldn't be shaded)

please can anyone help me??

Answers

Answer:

140 DEGREES

Step-by-step explanation:

160-20=140

As 160 + x = 180 ( linear pair )
X = 20 degree
Now, as x is to be increase by 20 degree
The new angle is 40 degrees

Determine whether the data described in the tables is best modeled by a linear function or an exponential function.

Answers

Answer: Tigers: Linear Function

Narwhals: Linear Function

HELP DUE AT MIDNIGHT TN

Answers

Answer:

102

Step-by-step explanation:

These angles are congruent due to corresponding angles thm

3x + 21 = 6x - 60

3x - 6x = -60 - 21

-3x = -81

x = 27

3x + 21

3(27) + 21

81 + 21

102

image down below plz and thx answer first and ill give you brailiest

Answers

I think it’s C hope it’s right

help ineed help its just too much too count im so confused #screwfortnite

Answers

Answer:

7 X 10

Step-by-step explanation:

because up and down there are 7 and left to right there are 10

Answer:

7 X 10

Step-by-step explanation:

All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.

I need help I'm confused.

Answers

Answer:

ok

Step-by-step explanation:

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

Answers

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

Can someone help me with math and thanks .!

Answers

Answer:

Step-by-step explanation:

1. A: 147 Degrees B: 33 Degrees

2. A: 121 Degrees B: 59 degrees

It would be the same as the other side.

Please help me with math!!!!!

Answers

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation:

give us the values and numbers to help you

Use synthetic division to divide x^3-8x^2+9x-5 by x-3

Answers

Answer:

x^2 - 6x - 6, remainder -23

Step-by-step explanation:

Start like this:

              3    |     1      -8      9     -5

                    |

                   --------------------------------      

First step is to copy the 1 to below the line.

              3    |     1      -8      9     -5

                    |

                   --------------------------------      

                           1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3

                   --------------------------------      

                           1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15

                   --------------------------------      

                           1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

              3    |     1      -8      9     -5

                    |              3    -15    -18

                   --------------------------------      

                           1     -5     -6     -23

Answer: x^2 - 6x - 6, remainder -23

The solution is, x^2 - 6x - 6, and, the  remainder -23.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

divide x^3-8x^2+9x-5 by x-3

Start like this:

             3    |     1      -8      9     -5

                   |

                 --------------------------------      

First step is to copy the 1 to below the line.

             3    |     1      -8      9     -5

                   |

                  --------------------------------      

                          1

Now multiply 3 by 1 and write below the -8. Then add the product to the -8 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3

                  --------------------------------      

                          1     -5

Now multiply 3 by -5 and write below the 9. Then add the product to the 9 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15

                  --------------------------------      

                          1     -5     -6

Now multiply 3 by -6 and write below the -5. Then add the product to the -5 and write the sum below the line.

             3    |     1      -8      9     -5

                   |              3    -15    -18

                  --------------------------------      

                          1     -5     -6     -23

Hence, Answer: x^2 - 6x - 6, remainder -23

To learn more on division click:

brainly.com/question/21416852

#SPJ2

If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?

Answers

Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?

Answers

Answer:

The car is worth $4250 now and it decreased by $750

Step-by-step explanation:

5000* .85 is 4250

Solve for x: 6x + 1 = -23​

Answers

6x=-23 - 1
6x=-24
divide both sides by 6
X=-4

Answer:6x=-23 - 1

6x=-24

X=-4

Step-by-step explanation:

Two angles are same side interior angles between two parallel lines. One angle is 30° more than one half the other angle. What is the measure of the smaller angle?

Answers

Answer:

284

Step-by-step explanation:

0f the 64 students in grade five, 3/8 of them either walk or ride a bike to school. The rest take a bus. How many fifth graders take a bus to school? *

Answers

40 fifth graders take a bus to school. 8x8= 64 so they have you a good fraction to start with to find out how many kids are walking or taking their bike (3/8) all you have to do is multiply 3 and 8 which equals 24 to find the fraction of the amount of kids who take the bus you subtract 3 from 8 which gives 5/8 and to get the answer you multiply 5 and 8 which is 40.

Heidi lost an average of 4 pounds a month for five months. What was her total weight loss?

Answers

Answer:

20 lbs

Step-by-step explanation:

is heidi dieting cuz thats good!

4 lbs x 5 months = 20 lbs

Plz help
Rewrite the fraction in the sentence below as a percentage.
In 2010, a fire destroyed
3/10 of the farmer's crops.

Answers

Answer: 30%

Step-by-step explanation:

Method 1:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, the denominator should be equal to 100 (since percent is per 100)

Multiply the top and bottom by 10

[tex]\frac{3}{10} * \frac{10}{10} = \frac{30}{100}[/tex]

Since the numerator is 30, 3/10 as a percent is 30%

Method 2:

The original fraction is [tex]\frac{3}{10}[/tex]

To convert to a percent, first convert the fraction to a decimal (do 3 ÷ 10)

     0.3

10 | 3 0

     -30

-------------

          0

You get 0.3

Now multiply the decimal by 100

0.3 * 100 = 30

30%

Method 3:

The original fraction is [tex]\frac{3}{10}[/tex]

[tex]\frac{3}{10} = \frac{x}{100} \\10x = 300\\x = 30[/tex]

cross-multiply to solve the equation

30%

(d)
2 m
-10 m
6 m
4 m
15 m
14 m
20 m

Answers

Answer:

its d

Step-by-step explanation:

5. What is the slope of this graph?
a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2

6. What is the slope of this graph?

a) m = 2/3
b) m = -2/3
c) m = 3/2
d) m = -3/2

Answers

answers for 5 and 6

5) C

6) B

Step-by-step explanation:

hope this helped

the perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length
a.5x-2
b.3x+2
c.8x+3
d.12x+1​

Answers

Answer: b. 3x + 2

Step-by-step explanation:

2l + 2w = p

2l + 2(2x - 1) = 10x + 2

2l + 4x - 2 = 10x + 2

2l = 6x + 4

l = 3x + 2

Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?

Answers

Answer: Carlos does not have enough wires by 0.1 meters

Step-by-step explanation:

To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.

= 0.9 + 0.9 + 0.9

= 2.7 meters

Carlos has 2.6 meters of wire but needs 2.7 meters.  

Carlos therefore, does not have enough wires.

A corner store sells two kinds of baked goods: cakes and
pies. A cake costs $11 and a pie costs $6. In one day, the
store sold 9 baked goods for a total of $84. How many
cakes did they sell?

Answers

Answer:

They sold 4 cakes

and 5 pies...

Step-by-step explanation:

four cakes cost $44 and 5 pies cost $30

44+30= 84

really I just used trial and error by plugging in numbers.

hope this helps chu <3

How many points need to be removed from this graph so that it will be a function?

Answers

I think 4 I’m not sure

Find the square root for y=-2(x-5)(x+7)?

Answers

12 I think I’m not sure just a guess

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, what is true about the other zero

Answers

Answer:

Step-by-step explanation:

irrational roots always occur in pairs.

Other root is also irrational and is negative of first zero.

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

What is quadratic equation ?

Any equation of the  form [tex]ax^{2}+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Let assume quadratic equation is

[tex]ax^{2}+bx+c=0[/tex]

Given that coefficients are integer and roots are distinct

we know root of quadratic equation are

[tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

As roots are distinct

[tex]b^2-4ac > 0\\[/tex]

and one root is irrational so [tex]b^2-4ac[/tex] is not a perfect square

Hence another root is also irrational .

If a quadratic equation with integer coefficients and two distinct roots have one irrational root then another root is also irrational .

To learn more about quadratic equations visit : https://brainly.com/question/1214333

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

Jennifer needs to make at least $325 to pay for a new Xbox. She already has $184 saved in her account. Which inequality can Jennifer use to find n, the amount of money she still needs to save to meet or exceed her goal?

Answers

i’m pretty sure it’s the last one. number 4.

184 + n >_ 235

270 divided by 4
PLEASE HELP ASAP​

Answers

Answer:

67.5

Step-by-step explanation:

Answer: Divide the 2 numbers

Answer:

the answer is 67.5

Step-by-step explanation:

270/4=67.5

Other Questions
Create a complete sentence from each of the following phrase fragments. Add capitalization and punctuation wherever necessary.EllenExample1. has been a gymnast.managing the store write a linear function that shows the linear relationship in the table below. f(x) = 3(x - 2)find f(5) please help I will mark brainliest!! Select the correct answer.Solve the exponential equation for x. Given right triangle HJK, which of thefollowing ratios is equivalent to cosH? help will mark brainliest fro correct answer Ok look at this one plz need help ASAP In the book of life of Pi, Pi claims that "repetition is important in training not only ofanimals but also of humans." In terms of training a dog to sit, explain howrepetition works with training humans. * A school band performed a concert on four different days. The band sold tickets and snacks each day of the concert for a fundraiser. The first table shows the numbers of tickets sold and the amounts of money collected from ticket sales. The second table shows the numbers of snacks sold and the amounts of money collected from snack sales. If each snack costs the same price, what is the price per snack? What is the difference between an essential question and a direct question?" I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!! Find the measure of an angle in standard position for the reference angle 60 in Quadrant II. A Traveller changed EC $1800 to Barbados currency. Calculate the amount received the other three finish painting the kitchen.write an equation to represent a way the four grandchildren.could have shared the painting so that your answer is equal to 8/8 Fungi are all eukaryotes that are not animals, plants or protists.TRUEFALSECheck it Otis has a bag that contains 8 blue marbles, 2 green marbles, and 10 red marbles. Otis will pick a marble without looking, record the color, and put it back in the bag. If Otis does this 1,000 times, about how many times can he expect to pull out a blue marble? O 8 times O 40 times 80 times 400 times PLEASEEEE HELP ASAPPPP which of the following polynomial equations is x=3 a zero? select all that apply