PLEASE HELP ME!!!
A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the magnitude of the car's resultant vector.

Answer:

28.71 points

Step-by-step explanation:

(27.29 + 28 + x) / 3 = 28

(27.29 + 28 + x) = 84

28 + x = 56.71

x = 28.71

The number of points he needs to score in his next game so that his average (mean) is 28 points per game will be 28.

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

Mean = sum of data / Number of data

As per the given,

Manuel has scored 27,29 and 28 points in his three basketball games so far.

Suppose his score in the fourth game is x.

Mean = (27 + 29 + 28 + x)/4 = 28

(84 + x)/4 = 28

84 + x = 112

x = 28

Hence "The number of points he needs to score in his next game so that his average (mean) is 28 points per game will be 28".

For more about the mean,

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13x^2 + 2.8x

Step-by-step explanation:

you combine light terms

Answer:

3/7 × 2

= 6/7

= 0.857.

Step-by-step explanation:

°•°•°•°•°•°•°•°•°•

Answer:

[tex]volume = \pi {r}^{2} h \\ = \pi( {5}^{2} ) \times 6 \\ 150\pi \: cubic \: units[/tex]

Answer:

471

Step-by-step explanation:

Using Pi=3.14

First find the area of the bottom circle:

3.14*([tex]5^{2}[/tex])

=78.5

Then multiply the result by the height

78.5*6=471

therefore,

Volume of clylinder: 471 units squared

Please give me brainliest if corrrect :)

Answer:

look at the screenshot

Step-by-step explanation:

look at the screenshot

The table for total repayment and interest paid for each loan offer:

Loan offer Interest rate Total repayment Total interest paid

1-year loan 6.5%         $37,275                 $2,275

5-year loan 8.2%         $41,570                 $6,570

Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).

Formula;    Simple Interest(I) =  P × R × T/100

For the 1-year loan, the total repayment and total interest paid can be calculated as follows:

Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)

                                                               = $37,275

Total interest paid = $37,275 - $35,000

                               = $2,275

For the 5-year loan, the total repayment and total interest paid can be calculated as follows:

Total repayment = Principal + Interest

                            = $35,000 + (0.082 x $35,000 x 5)                

                            = $41,570

Total interest paid = $41,570 - $35,000 = $6,570

Loan offer Interest rate Total repayment Total interest paid

1-year loan 6.5%         $37,275                 $2,275

5-year loan 8.2%         $41,570                 $6,570

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The quotient is the outcome of the division one number or expression known as the dividend, by another number or expression known as the divisor

The option that gives the correct quotient is;

[tex]\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}[/tex]

Where, the quotient is 2·x + 1, and the reminder is 2·x - 5

The reason the above option is correct is as follows:

The given dividend is 2·x³ + 3·x² + 5·x - 4

The divisor is x² + x + 1

By long division of a polynomial we have;

2·x + 1(Quotient)

(2·x³ + 3·x² + 5·x - 4) ÷ (x² + x + 1 )

2·x³ + 2·x² + 2·x

0    +   x²  + 3·x - 4

[tex]{}[/tex]           x² + x    + 1

[tex]{}[/tex]           0  + 2·x - 5

Therefore, we have;

[tex]\dfrac{2\cdot x^3 + 3 \cdot x^2 + 5 \cdot x - 4}{x^2 + x + 1} = 2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}[/tex]

Therefore, the correct option is;

[tex]\mathbf{2\cdot x + 1 + \dfrac{2 \cdot x - 5}{x^2 + x + 1}}[/tex]

Learn more about long division of polynomial here:

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Answer:

Not a triangle

Step-by-step explanation:

The sum of the lengths of sides a, b must be greater than the length of the remaining side c.

Answer:

not a triangle

Step-by-step explanation:

11+13<25

Answer:

12 years

Step-by-step explanation:

Given that

P = 5,600 e^0.0591

Reaching amount = 11,200

time period = t

We need to find out the time period i.e. t

So,

11,200 =  5,600 e^0.0591t

2 =  e^0.0591t

Now take the log on both the sides

ln2 = 0.0591t ln

t = ln2 ÷ 0.059

= 0.693147÷ 0.059

= 11.748

= 12 years

Answer:

Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

Answer:

independent

Step-by-step explanation:

independent

Answer:

112

Step-by-step explanation:

The volume is 448 [tex]cm^{3}[/tex]

You are asked to dilate it to a scale factor of 1/4

All you are doing is multiplying: 448/1 × 1/4

Answer:

A for example. The points is "(5,1)". The 5 would be on the x-axis while you put it on the y-axis. The 1 would be put on the y-axis while you put it on the x-axis. So you would go over 5 and up 1, not up 5 and over 1.

Step-by-step explanation:

9514 1404 393

Explanation:

The quadrilateral will be a parallelogram if the diagonals bisect each other. That is, their midpoints are the same point. We don't actually need to calculate the midpoint. Rather, we can calculate the point that has double the coordinate values.

If (A+C) = (B+D), the quadrilateral is a parallelogram.

  A +C = B +D

  (-2, 8) +(5, 1) = (2, 7) +(1, 2)

  (-2+5, 8+1) = (2+1, 7+2)

  (3, 9) = (3, 9) . . . . . the figure is a parallelogram

_____

Of course, the midpoint of the diagonals is (3/2, 9/2).

Answer:

15

Step-by-step explanation:

Answer:

Exam??

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Function A) Rate of change is 6 because it represents 'm' from mx (6x).

Function B) Rate of change is 5 because there is an increase of 5 as it moves to the right.

Answer:

0 units

Step-by-step explanation:

What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 25 units?

The formula to solve for the sides of a right angled triangle

= Hypotenuse² = Opposite² + Adjacent ²

Hypotenuse = 25 units

One side = 25 units

To find the other side

√ 25² - 25²

= √625 - 625

= √0

= 0 units

The length of the other leg = 0 units

Step-by-step explanation:

1. Angle 5 = 120 degree

Angle 5 = Angle 6 ( alternate exterior angles are equal )

Therfore, Angle 6 = 120 degree

Angle 6 = Angle 4 ( Vertically opposite angles are equal )

Therfore, Angle 4 = 120 degree

Angle 4 = 5x

120 = 5x

120/5 = x

40 = x

Therefore x = 40 degree.

2. Angle 1 = 100 degree

Angle 1 = Angle 7 ( vertically opposite angles are equal )

Therefore, Angle 7 = 100 degree

Angle 7 = 10x

100 = 10x

100/10 = x

10 = x

Therefore x = 10 degree

I want some more time for this question.

( 5n² )( 3n⁴ )

15n⁶

Option D is right answer

Answer:

d. 15n^6

Step-by-step explanation:

i hope this helps :)

Answer:

S V W and if you rotate it the W would be an M

Step-by-step explanation:

Answer:

I would do the math

Answer:

3

Step-by-step explanation:

the maximum value of the function y = -2+5sin(pi/12(x-2)) is determined by taking the first derivative of the function. The first derivative is equal ( 5 pi/ 12 )* sin ((pi/12) (x-2)) = 0. x is equal to 4472 through the calculator. Substituting to the original equation, the maximum value is 3.

hope this helps

Answer: 34

40-3*2

40-6

34

Answer:

40-3(2)= 40-6=34

Step-by-step explanation:

Please mark brainliest

Answer:

A.The value of both expressions when t=3 is 33.

D.The value of both expressions when t=6 is 51.

E.The two expressions are equivalent.

Step-by-step explanation:

We are given two expressions.

3(2t + 5)

6t + 15

Now let's find the value of these two expressions when t =3 and t = 6

When t =3, the value of the expressions:

3(2*3 + 5) = 3(6 + 5) = 3(11) = 33

6*3 + 15 = 18 + 15 = 33

So the value of both the expressions is 33 when t = 33.

When t = 6, the value of the expressions:

3(2*6 + 5) = 3(12 + 5) = 3(17) = 51

6*6 + 15 = 36 + 15 = 51

The value of both the expressions is 51 when t = 51.

So the following statements are true:

A.The value of both expressions when t=3 is 33.

D.The value of both expressions when t=6 is 51.

E.The two expressions are equivalent.

Answer:

4.5 mph

Step-by-step explanation:

2 m/s = (2 m/s)(60)(60) = 7200 m/h or 7.2 km/hr

if 5 miles = 8 km, then 1 km = 0.625 miles

7.2 x 0.625 = 4.5 mph

Answer:

9/21

Step-by-step explanation:

45 / 105 = 9/21 (simplified)

35, 36, 37, 38, 39 the mean is 37 the median is also 37

Answer:

3.594417e+19

Step-by-step explanation:

Answer:

Step-by-step explanation:

root 9 looks like

[tex]\sqrt{9}[/tex]

maybe you can solve it now?

3*3 = 9

so root 9 = 3

mark 3 on the number line