A car travels along a hill inclined at 10 degrees with the ground and travels 900 feet. What is the horizontal distance travelled by the car, to the nearest tenths of a foot.

Answer:

[tex]a_{5} = 22[/tex].

Step-by-step explanation:

In this recursive sequence, the value of the first term [tex]a_{1} = 2[/tex] is stated explicitly. The value of every other term of this sequence is given as an expression of the previous term.

For example, the value of the term [tex]a_{2}[/tex] ([tex]n = 2[/tex]) is given in terms of the value of [tex]a_{1}[/tex]:

[tex]\begin{aligned}a_{2} &= a_{(2 - 1)} + 5 \\ &= a_{1} + 5\end{aligned}[/tex].

Likewise, the value of [tex]a_{3}[/tex] ([tex]n = 3[/tex]) would be:

[tex]\begin{aligned}a_{3} &= a_{(3 - 1)} + 5 \\ &= a_{2} + 5 \\ &= (a_{(2-1)}+5) + 5 \\ &= (a_{1} + 5) + 5 \\ &= a_{1} + 2 \times 5 \\ &= a_{1} + (3 - 1) \times 5\end{aligned}[/tex].

In general, the value of [tex]a_{n}[/tex] (for integer [tex]n \ge 1[/tex]) would be:

[tex]\begin{aligned} a_{n} &= a_{1} + (n - 1) \times 5 \\ &= 2 + (n - 1) \times 5\end{aligned}[/tex].

Therefore, the value of [tex]a_{5}[/tex] ([tex]n = 5[/tex]) would be:

[tex]\begin{aligned}a_{5} &= a_{1} + (5 - 1) \times 5 \\ &= 2 + (5 - 1) \times 5 \\ &= 22\end{aligned}[/tex].

Answer: h = left or right, k = up or down

Step-by-step explanation:

h determines if the function is shifted left or right and k determines if the graph is shifted up or down

Answer:

Yes.

Step-by-step explanation:

y/x = 2.22.....  for all the 4 points given.

The graph is a straight line with slope 2.22....

140/63 = 2.2222... also so this is included in the realtionship

Answer:

Step-by-step explanation:

the marathon actual race distance is 26.2 now that Lin has already ran 19.6 miles so now we should subtract this two decimal numbers so that were get 6.6

Answer:

m<6 = 119°

Step-by-step explanation:

Two lines are parallel with each along a line.

m<4 and m<6 are supplementary angles which both angles add up to 180°.

m<4 + m<6 = 180°

61° + m<6 = 180°

m<6 = 180° - 61°

m<6 = 119°

Answer:

Step-by-step explanation:

m<6 + 61 = 180

m<6 = 139

Answer:

Step-by-step explanation:

There are 10 girls in an athletics club.

e ratio of girls to boys is 5:3.

w many boys are there?

we can solve with an equation

10 : x = 5 : 3

x = 10 * 3 : 5

x = 30 : 5

x = 6

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

Answer:

[tex]-5B = \begin{bmatrix}-15&10\\ 20&40\end{bmatrix}[/tex]

Step-by-step explanation:

[tex]B=\begin{bmatrix}3&-2\\ -4&-8\end{bmatrix}[/tex]

[tex]\Longrightarrow -5B = -5 \times\begin{bmatrix}3&-2\\ -4&-8\end{bmatrix}[/tex]

[tex]\Longrightarrow -5B = \begin{bmatrix}-5 \times3&-5 \times-2\\ -5 \times-4&-5 \times-8\end{bmatrix}[/tex]

[tex]\Longrightarrow -5B = \begin{bmatrix}-15&10\\ 20&40\end{bmatrix}[/tex]

Answer:

the answer is b , sub 2for x in each equ then whatever answer you get , use it to check is that what y is on grph

[tex]1.~\boxed{\sf0.55555555555}\boxed[/tex]

[tex]2.~\boxed{\sf 0.54545454545}\boxed[/tex]

Answer:

1702.45

Step-by-step explanation:

your welcome

1737.45 coupon not included

Answer:

right scalene

Answer:

D.

Step-by-step explanation:

When you survey every 3rd person you will use that as a good sample for the survey. Hope this helps!

Answer:

2 sqrt 74    

Step-by-step explanation:

d^2 = ( x1-x2)^2  + (y1-y2)^2

d^2 = ( 5 - -5 )^2  +  ( -10 -4)^2

       =   100 + 196

d^2 = 296

d = sqrt 296    =   2 sqrt (74)

Answer:- The answer is letter B, c=1.75n

Step-by-step explanation: Hope this helps.

Answer:

X = 20

Step-by-step explanation:

The two angles are vertical.

62 = (2 + 3x)

60 = 3x

60/3 =

20

You were correct

Answer:

1. 0.4

2. 0.375

Step-by-step explanation:

All you gotta do is find how much does it cost for each slice for example 30/75=0.4 and decide which one is better

Answer:

one

Step-by-step explanation:

3x + 6 = -1 - 3 + 4x

Combine like terms

3x+6 = -4 +4x

Subtract 3x from each side

3x+6-3x = -4+4x-3x

6 = -4+x

Add 4 to each side

4+6 = -4+x+4

10 =x

There is one solution

Only one it's 10

Answer:

A

Step-by-step explanation:

y + 3 = -6(x + 2)

y + 3 = -6x - 12

y + 3 = -6x - 12

y = -6x - 15

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Let p and h represent pay and hours worked respectively,

p = kh

k = p/h = 148.5/18 = 8.25

p= 8.25h

90.75 = 8.25h

h = 11 hours.

Hope it helps! :)

Answer:

The absolute value of negative 1/2 is  1/2

Step-by-step explanation:

The absolute value of a number is the positive form of the number

Answer: Heyaa! ~

Your Answers are... ±1,±2,±3,±4,±6,±12

Step-by-step explanation:

Find every combination of ± p/q, where p is a factor of the constant and

q is a factor of the leading coefficient.

Hopefully this helps you! ^^

- Matthew

Answer:

803.84, or C.

Step-by-step explanation:

If we know the circumference then we can use that to find the radius!

-

(π =pi)

Area of a circle formula: π · r^2

-

Let us plug in the circumference into the formula (not the area formula, the circumference one!)

c=2πr

100.48=2πr - 2*3.14 =6.28

100.48=6.28r

divide both sides by 6.28!
r= 16

Now, we plug that in the area formula.

π · r^2

3.14 * 16^2

3.14 * 256 =

803.84

[tex]\Large\textsc{Answer\::}[/tex]

[tex]\Large\textsc{\textbf{Calculations\::}}[/tex]

First , notice that the equation of the second line , 6x=3y+5 , is not written in the same form as y=2x , so determining the slope is hard .

To determine the slope , we need to convert the first equation into slope intercept form .

Subtract 6x on both sides :

0 = 3y+5-6x

Now , subtract 3y on both sides :

-3y=-6x+5

Divide by -3 on both sides :

y=-6/-3x+5/-3

Which simplifies to :

y=2x-5/3 (remember , a negative divided by a negative results in a positive)

Put both equations together :

y=2x and y=2x-5/3

Notice that the slopes are the same . This indicates that the lines are parallel .

Now let's focus on the second maths problem :

Consider the equations below .

x=-4 and y=-2

Are the lines parallel or perpendicular?

The  slope of the first line is undefined , and the slope of the second line is zero .

Lines with undefined slopes are vertical , and lines with slopes of zero are horizontal .

Here's something you may have recalled from your Geometry class :

Is a vertical line parallel or perpendicular to a horizontal line ?

The ans is : perpendicular .

[tex]\footnotesize{\texttt{hope helpful~}[/tex]

Answer:

40a : 10b : 3c

Step-by-step explanation:

We can write this information more mathematically by saying:

[tex]a = \frac{1}{4} b[/tex]

[tex]b= \frac{3}{10} c[/tex]

This can be written as ratios as well by making them all integers so:

4a : b

10b : 3c

By making the b's in both equations the same, we can link all the ratios together so:

40a : 10b

10b : 3c

So,

40a : 10b : 3c

Answer:

4 more hours

Step-by-step explanation:

wednesday+thursday=7

monday+tuesday=3

7-3=4

The equation of the function f  with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

A function assigns the value of each element of one set to the other specific element of another set.

A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,

x=3

x-3=0

The second solution is,

x=-9

x+9=0

Multiply both factor for the function as,

f(x)=(x-3)(x+9)

f(x)=x²+9x-3x-27

f(x)=x²+6x-27

This is the required function. The graph of this function is attached below.

Thus, the equation of the function f  with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.

Learn more about Function here:

https://brainly.com/question/5245372

#SPJ1

Answer:

it is said to be a regular polygon.

Step-by-step explanation:

A regular polygon is a polygon that has all angles of the same measure and all sides of the same length.

Answer:

33.49 cubic inches

Step-by-step explanation:

Answer:

6

Divide the fractions.

3 / 1 = 3

4 / 8 = 2

Use the numerator as a multiplicand.

2 × 3 = 6